Wikipedia
testwiki
https://test.wikipedia.org/wiki/Main_Page
MediaWiki 1.45.0-wmf.8
first-letter
Media
Special
Talk
User
User talk
Wikipedia
Wikipedia talk
File
File talk
MediaWiki
MediaWiki talk
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Template talk
Help
Help talk
Category
Category talk
Thread
Thread talk
Summary
Summary talk
Test namespace 1
Test namespace 1 talk
Test namespace 2
Test namespace 2 talk
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Draft talk
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Campaign talk
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TimedText talk
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SecurePoll talk
CNBanner
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Translations talk
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Newsletter talk
Wikipedia:Requests/Permissions
4
32559
665266
663666
2025-07-03T19:43:15Z
Awesome Aasim
36375
665266
wikitext
text/x-wiki
<noinclude>{{Shortcut|WP:R/P|WP:RfP|WP:RfA|WP:PERM|WP:RFR|WP:RFPERM}}</noinclude>
{{Wikipedia:Requests/Top}}
== Requests for user rights ==
* Subpages: [[Wikipedia:Requests/Permissions/All|All (current and archived)]]
* Request:
<inputbox>
type=create
prefix=Wikipedia:Requests/Permissions/
preload=Template:PA2
buttonlabel=Requests for user rights
placeholder=Enter your username
</inputbox>
After creating the subpage, come back here and transclude the page below (<code><nowiki>{{Wikipedia:Requests/Permissions/Example}}</nowiki></code>).
<!-- Please transclude your requests below this line, LATEST AT THE TOP, in the form
{{Wikipedia:Requests/Permissions/Example}} -->
{{Wikipedia:Requests/Permissions/Awesome Aasim (3)}}
<!-- NEW ENTRIES AT THE TOP, NOT HERE -->
gnygzjsll5vepdbj41k0h2i391zpfcg
665274
665266
2025-07-04T02:47:53Z
Awesome Aasim
36375
Reverted edit by [[Special:Contributions/Awesome Aasim|Awesome Aasim]] ([[User talk:Awesome Aasim|talk]]) to last revision by [[User:Barras|Barras]]
663666
wikitext
text/x-wiki
<noinclude>{{Shortcut|WP:R/P|WP:RfP|WP:RfA|WP:PERM|WP:RFR|WP:RFPERM}}</noinclude>
{{Wikipedia:Requests/Top}}
== Requests for user rights ==
* Subpages: [[Wikipedia:Requests/Permissions/All|All (current and archived)]]
* Request:
<inputbox>
type=create
prefix=Wikipedia:Requests/Permissions/
preload=Template:PA2
buttonlabel=Requests for user rights
placeholder=Enter your username
</inputbox>
After creating the subpage, come back here and transclude the page below (<code><nowiki>{{Wikipedia:Requests/Permissions/Example}}</nowiki></code>).
<!-- Please transclude your requests below this line, LATEST AT THE TOP, in the form
{{Wikipedia:Requests/Permissions/Example}} -->
<!-- NEW ENTRIES AT THE TOP, NOT HERE -->
q2b45nka2hc8ypzfbfzgi41rhpfqwp9
Sandbox
0
68971
665248
665185
2025-07-03T13:00:38Z
Wolverène
25150
th-RU
665248
wikitext
text/x-wiki
Тайский язык в РФ (как родной, перепись 2021)
* Всего: 159 (152 в городах, 7 в сельской местности)
** Москва ― 24 (24/0)
** Московская область ― 18 (17/1)
** Республика Саха―Якутия ― 10 (10/0)
** Республика Татарстан ― 10 (10/0)
** Красноярский край ― 10 (9/1)
** Приморский край ― 10 (9/1)
** Свердловская область ― 9 (9/0)
** Санкт-Петербург ― 8 (8/0)
** Амурская область ― 6 (6/0)
** Республика Башкортостан ― 6 (4/2)
** Забайкальский край ― 3 (3/0)
** Курская область ― 3 (3/0)
** Ленинградская область ― 3 (3/0)
** Тульская область ― 3 (3/0)
** Челябинская область ― 3 (3/0)
** Пензенская область ― 3 (2/1)
** Воронежская область ― 2 (2/0)
** Иркутская область ― 2 (2/0)
** Новосибирская область ― 2 (2/0)
** Омская область ― 2 (2/0)
** Пермский край ― 2 (2/0)
** <s>Республика Крым ― 2 (2/0)</s>
** Тверская область ― 2 (2/0)
** Тюменская область ― 2 (2/0)
** Хабаровский край ― 2 (2/0)
** Астраханская область ― 1 (1/0)
** Калининградская область ― 1 (1/0)
** Калужская область ― 1 (1/0)
** Камчатский край ― 1 (1/0)
** Кировская область ― 1 (1/0)
** Костромская область ― 1 (1/0)
** Краснодарский край ― 1 (1/0)
** Мурманская область ― 1 (1/0)
** Ростовская область ― 1 (1/0)
** Ставропольский край ― 1 (1/0)
** Томская область ― 1 (1/0)
** Белгородская область ― 1 (0/1)
12lo1k350qstuc4cydi2bb91nup3soz
665250
665248
2025-07-03T13:37:54Z
Wolverène
25150
zh-RU
665250
wikitext
text/x-wiki
Китайский язык в РФ (как родной, перепись 2021)
* Всего: 17559 (13916 в городах, 3640 в сельской местности)
** Республика Саха―Якутия ― 2856 (2852/4)
** Омская область ― 2378 (108/2270)
** Санкт-Петербург ― 1855 (1855/0)
** Приморский край ― 1609 (1485/124)
** Москва ― 1116 (1116/0)
** Амурская область ― 1009 (961/48)
** Забайкальский край ― 711 (436/275)
** Красноярский край ― 600 (465/135)
** Хабаровский край ― 534 (510/24)
** Новосибирская область ― 508 (499/9)
** Свердловская область ― 409 (406/3)
** Московская область ― 385 (311/74)
** Иркутская область ― 363 (311/52)
** Республика Бурятия ― 330 (280/50)
** Республика Татарстан ― 306 (294/12)
** Республика Тыва ― 217 (7/210)
** Волгоградская область ― 215 (205/10)
** Томская область ― 198 (181/17)
** Челябинская область ― 175 (161/14)
** Кемеровская область ― 173 (172/1)
** Ростовская область ― 139 (126/13)
** Республика Башкортостан ― 105 (87/18)
** Калужская область ― 98 (94/4)
** Ставропольский край ― 98 (58/40)
** Пермский край ― 83 (66/17)
** Кировская область ― 81 (22/59)
** Нижегородская область ― 71 (67/4)
** Республика Карелия ― 65 (65/0)
** Краснодарский край ― 60 (46/14)
** Пензенская область ― 58 (34/24)
** Алтайский край ― 57 (54/3)
** Еврейская автономная область ― 41 (38/3)
** Вологодская область ― 37 (32/5)
** Владимирская область ― 36 (27/9)
** Астраханская область ― 35 (25/10)
** Воронежская область ― 34 (33/1)
** Тюменская область ― 33 (31/2)
** Магаданская область ― 29 (29/0)
** Республика Хакасия ― 29 (13/16)
** Сахалинская область ― 27 (20/7)
** Камчатский край ― 24 (23/1)
** Курская область ― 24 (21/3)
** Республика Дагестан ― 23 (22/1)
** Самарская область ― 23 (19/4)
** Тульская область ― 22 (15/7)
** Калининградская область ― 21 (21/0)
** Белгородская область ― 18 (17/1)
** Республика Калмыкия ― 18 (10/8)
** Республика Мордовия ― 17 (14/3)
** Республика Удмуртия ― 13 (13/0)
** <s>Севастополь ― 13 (13/0)</s>
** Ульяновская область ― 13 (11/2)
** Ленинградская область ― 13 (9/4)
** Тверская область ― 12 (11/1)
** Оренбургская область ― 11 (9/2)
** Псковская область ― 11 (6/5)
** Курганская область ― 10 (10/0)
** Липецкая область ― 10 (8/2)
** Саратовская область ― 10 (7/3)
** Ярославская область ― 9 (8/1)
** Республика Марий Эл ― 8 (7/1)
** Рязанская область ― 7 (7/0)
** <s>Республика Крым ― 7 (4/3)</s>
** Орловская область ― 6 (6/0)
** Ивановская область ― 5 (5/0)
** Костромская область ― 5 (5/0)
** Республика Чувашия ― 5 (5/0)
** Тамбовская область ― 5 (3/2)
** Архангельская область ― 4 (4/0)
** Республика Северная Осетия―Алания ― 4 (4/0)
** Брянская область ― 4 (3/1)
** Мурманская область ― 3 (3/0)
** Смоленская область ― 3 (3/0)
** Новгородская область ― 3 (2/1)
** Республика Алтай ― 3 (1/2)
** Республика Адыгея ― 2 (2/0)
** Республика Коми ― 2 (2/0)
** Карачаево-Черкесская Республика ― 2 (1/1)
ts5raevftxhb059w7qjgwr1doy5runu
665251
665250
2025-07-03T13:38:24Z
Wolverène
25150
reset
665251
wikitext
text/x-wiki
<noinclude>{{Sandbox}}</noinclude>
{{CleanSandbox}}
== Please start your testing below this line ==
ka2eqyeuwzyft3aer39lh3d9altclna
665275
665251
2025-07-04T03:47:29Z
~2025-126330
69402
665275
wikitext
text/x-wiki
<noinclude>{{Sandbox}}</noinclude>
{{CleanSandbox}}
== Please start your testing below this line ==
test
bjg0grnya9owp0iy47x2vjcnbwv43pp
User:John Vandenberg/async test write
2
81547
665244
665009
2025-07-03T12:27:28Z
Pywikibot-test
23124
Pywikibot 10.3.0.dev0
665244
wikitext
text/x-wiki
1751545639.4502597
88qfg0j6em7xt9qy7lfg2d99f8sosce
User:John Vandenberg/appendtext test
2
81788
665243
665007
2025-07-03T12:27:18Z
Pywikibot-test
23124
665243
wikitext
text/x-wiki
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User:Pywikibot-oauth/edit test
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Pywikibot-oauth
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User:Wolverène/sandbox
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2025-07-03T13:38:28Z
Wolverène
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text/x-wiki
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* Языки коренных народов Северной Америки: ale-RU
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* Малочисленные коренные языки: [https://test.wikipedia.org/w/index.php?title=Sandbox&oldid=663675 alr], [https://test.wikipedia.org/w/index.php?title=Sandbox&oldid=663677 aqc], itl, [https://test.wikipedia.org/w/index.php?title=Sandbox&oldid=663679 izh], [https://test.wikipedia.org/w/index.php?title=Sandbox&oldid=663680 ket], [https://test.wikipedia.org/w/index.php?title=Sandbox&oldid=663936 krl], [https://test.wikipedia.org/w/index.php?title=Sandbox&oldid=663940 niv], [https://test.wikipedia.org/w/index.php?title=Sandbox&oldid=663627 vep], [https://test.wikipedia.org/w/index.php?title=Sandbox&oldid=663628 vot]
----
* Этнографические группы русских/украинцев: [https://test.wikipedia.org/w/index.php?title=Sandbox&oldid=663752 казаки], [https://test.wikipedia.org/w/index.php?title=Sandbox&oldid=663753 поморы]
19m1qf0ylf68z396l6nrpd4ttz8ybfh
Cyrtocymura scorpioides
0
109352
665278
425560
2025-07-04T10:49:09Z
~2025-128348
69409
665278
wikitext
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''''''Cyrtocymura scorpioides'''''' é uma [[espécie]] de planta que possui registro de ocorrência no [[Brasil]], sendo de uso medicinal. Esta [[espécie]] faz parte da Coleção Botânica de Plantas da Fiocruz. (<ref name="wikiMarkup">{{cite web |url=http://en.wikipedia.org/w/index.php?title=Help:Wiki_markup |title=Help:Wiki markup |publisher=Wikimedia Foundation |accessdate=2020-01-25 }}</ref>.)
{{Info/Taxonomia
| espécie=[[scorpioides]]
| gênero=[[Cyrtocymura]]
| domínio=[[Eukaryota]]
| nome=Cyrtocymura scorpioides
| família=[[Asteraceae]]
| reino=[[Plantae]]
}}
Testing
== References ==
{{Reflist}}
[[Category:Plants]][[Category: Medicinal plants]][[Category: Organisms]][[Category: Botany]][[Category:Flora]]
b2hi3h63h7aegeklouergbtquxuxt3t
Password strength
0
114200
665255
655389
2025-07-03T18:42:00Z
Nacaru
54746
Nominada para su borrado, véase [[Wikipedia:Consultas de borrado/Password_strength]] mediante [[WP:Twinkle Lite|Twinkle Lite]]
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{{sust:cdb}}
{{short description|Measure of the effectiveness of a password in resisting guessing and brute-force attacks}}
[[File:KeePass random password.png|thumb|400px|Options menu of the [[random password generation]] tool in [[KeePass]]. Enabling more character subsets raises the strength of generated passwords a small amount, whereas increasing their length raises the strength a large amount.]]
'''Password strength''' is a measure of the effectiveness of a [[password]] against guessing or [[brute-force attack]]s. In its usual form, it estimates how many trials an attacker who does not have direct access to the password would need, on average, to guess it correctly. The strength of a password is a function of length, complexity, and unpredictability.<ref name=CERT>{{cite web | url = http://www.us-cert.gov/cas/tips/ST04-002.html | title = Cyber Security Tip ST04-002 | work = Choosing and Protecting Passwords | publisher = US CERT | accessdate = June 20, 2009 | url-status = live | archiveurl = https://web.archive.org/web/20090707141138/http://www.us-cert.gov/cas/tips/ST04-002.html | archivedate = July 7, 2009 }}</ref>
Using strong passwords lowers overall [[risk]] of a security breach, but strong passwords do not replace the need for other effective [[security controls]]. The effectiveness of a password of a given strength is strongly determined by the design and implementation of the [[Authentication#Factors and identity|factors]] (knowledge, ownership, inherence). The first factor is the main focus in this article.
The rate at which an attacker can submit guessed passwords to the system is a key factor in determining system security. Some systems impose a time-out of several seconds after a small number (e.g. three) of failed password entry attempts. In the absence of other vulnerabilities, such systems can be effectively secured with relatively simple passwords. However, the system must store information about the user's passwords in some form and if that information is stolen, say by breaching system security, the user's passwords can be at risk.
In 2019, the United Kingdom's [[National Cyber Security Centre (United Kingdom)|NCSC]] analysed public databases of breached accounts to see which words, phrases and strings people used. Top of the list was 123456, appearing in more than 23 million passwords. The second-most popular string, 123456789, was not much harder to crack, while the top five included "[[qwerty]]", "password" and 1111111.<ref>{{Cite web|url=https://www.bbc.com/news/technology-47974583|title=Millions using 123456 as password, security study finds|date=21 April 2019|website=BBC News|access-date=24 April 2019}}</ref>
==Password creation==
Passwords are created either automatically (using randomizing equipment) or by a human; the latter case is more common. While the strength of randomly chosen passwords against a [[brute-force attack]] can be calculated with precision, determining the strength of human-generated passwords is challenging.
Typically, humans are asked to choose a password, sometimes guided by suggestions or restricted by a set of rules, when creating a new account for a computer system or Internet Web site. Only rough estimates of strength are possible, since humans tend to follow patterns in such tasks, and those patterns can usually assist an attacker.<ref name=NIST /> In addition, lists of commonly chosen passwords are widely available for use by password guessing programs. Such lists include the numerous online dictionaries for various human languages, breached databases of plaintext and hashed passwords from various online business and social accounts, along with other common passwords. All items in such lists are considered weak, as are passwords that are simple modifications of them. For some decades, investigations of passwords on multi-user computer systems have shown that 40% or more{{Citation needed|date=March 2016}} are readily guessed using only computer programs, and more can be found when information about a particular user is taken into account during the attack.
==Password guess validation==
Systems that use passwords for authentication must have some way to check any password entered to gain access. If the valid passwords are simply stored in a system file or database, an attacker who gains sufficient access to the system will obtain all user passwords, giving the attacker access to all accounts on the attacked system, and possibly other systems where users employ the same or similar passwords. One way to reduce this risk is to store only a [[cryptographic hash]] of each password instead of the password itself. Standard cryptographic hashes, such as the [[Secure Hash Algorithm (disambiguation)|Secure Hash Algorithm]] (SHA) series, are very hard to reverse, so an attacker who gets hold of the hash value cannot directly recover the password. However, knowledge of the hash value lets the attacker quickly test guesses offline. [[Password cracking]] programs are widely available that will test a large number of trial passwords against a purloined cryptographic hash.
Improvements in computing technology keep increasing the rate at which guessed passwords can be tested. For example, in 2010, the [[Georgia Tech Research Institute]] developed a method of using [[GPGPU]] to crack passwords much faster.<ref name="gtri"/> [[Elcomsoft]] invented the usage of common graphic cards for quicker password recovery in August 2007 and soon filed a corresponding patent in the US.<ref name="belenko">{{ cite patent | country=US | number=7929707 | status=patent | title=Use of graphics processors as parallel math co-processors for password recovery | assign1=Elcomsoft Co. Ltd. | inventor= Andrey V. Belenko | gdate=2011-04-19 }}</ref> By 2011, commercial products were available that claimed the ability to test up to 112,000 passwords per second on a standard desktop computer, using a high-end graphics processor for that time.<ref name=elcomsoft>[http://www.elcomsoft.com/eprb.html#gpu Elcomsoft.com] {{webarchive|url=https://web.archive.org/web/20061017173506/http://www.elcomsoft.com/eprb.html |date=2006-10-17 }}, [[ElcomSoft]] Password Recovery Speed table, [[NTLM]] passwords, [[Nvidia Tesla]] S1070 GPU, accessed 2011-02-01</ref> Such a device will crack a 6 letter single-case password in one day. Note that the work can be distributed over many computers for an additional speedup proportional to the number of available computers with comparable GPUs. Special [[key stretching]] hashes are available that take a relatively long time to compute, reducing the rate at which guessing can take place. Although it is considered best practice to use key stretching, many common systems do not.
Another situation where quick guessing is possible is when the password is used to form a [[cryptographic key]]. In such cases, an attacker can quickly check to see if a guessed password successfully decodes encrypted data. For example, one commercial product claims to test 103,000 [[Wi-Fi Protected Access|WPA]] PSK passwords per second.<ref>[http://www.elcomsoft.com/ewsa.html Elcomsoft Wireless Security Auditor, HD5970 GPU] {{webarchive|url=https://web.archive.org/web/20110219131825/http://www.elcomsoft.com/ewsa.html |date=2011-02-19 }} accessed 2011-02-11</ref>
If a password system only stores the hash of the password, an attacker can pre-compute hash values for common passwords variants and for all passwords shorter than a certain length, allowing very rapid recovery of the password once its hash is obtained. Very long lists of pre-computed password hashes can be efficiently stored using [[rainbow tables]]. This method of attack can be foiled by storing a random value, called a [[cryptographic salt]], along with the hash. The salt is combined with the password when computing the hash, so an attacker precomputing a rainbow table would have to store for each password its hash with every possible salt value. This becomes infeasible if the salt has a big enough range, say a 32-bit number. Unfortunately, many authentication systems in common use do not employ salts and rainbow tables are available on the Internet for several such systems.
===Entropy as a measure of password strength===
It is usual in the computer industry to specify password strength in terms of [[information entropy]] which is measured in [[bit]]s and is a concept from [[information theory]]. Instead of the number of guesses needed to find the password with certainty, the [[Binary logarithm|base-2 logarithm]] of that number is given, which is commonly referred to as the number of "entropy bits" in a password, though this is not exactly the same quantity as information entropy.<ref>{{cite conference |url=http://www.isiweb.ee.ethz.ch/archive/massey_pub/pdf/BI633.pdf |title=Guessing and entropy |author=James Massey |authorlink= |year=1994 |publisher=IEEE |pages=204|booktitle=Proceedings of 1994 IEEE International Symposium on Information Theory|author-link=James Massey }}</ref> A password with an entropy of 42 bits calculated in this way would be as strong as a string of 42 bits chosen randomly, for example by a [[fair coin]] toss. Put another way, a password with an entropy of 42 bits would require 2<sup>42</sup> (4,398,046,511,104) attempts to exhaust all possibilities during a [[brute force search]]. Thus, by increasing the entropy of the password by one bit the number of guesses required doubles, making an attacker's task twice as difficult. On average, an attacker will have to try half the possible number of passwords before finding the correct one.<ref name=NIST />
=== Random passwords ===
{{Main|Random password generator}}
Random passwords consist of a string of symbols of specified length taken from some set of symbols using a random selection process in which each symbol is equally likely to be selected. The symbols can be individual characters from a character set (e.g., the [[ASCII]] character set), syllables designed to form pronounceable passwords, or even words from a word list (thus forming a [[passphrase]]).
The strength of random passwords depends on the actual entropy of the underlying number generator; however, these are often not truly random, but pseudorandom. Many publicly available password generators use random number generators found in programming libraries that offer limited entropy. However most modern operating systems offer cryptographically strong random number generators that are suitable for password generation. It is also possible to use ordinary [[dice]] to generate random passwords. ''See [[Random password generator#Stronger methods|stronger methods]].'' Random password programs often have the ability to ensure that the resulting password complies with a local [[password policy]]; for instance, by always producing a mix of letters, numbers and special characters.
For passwords generated by a process that randomly selects a string of symbols of length, ''L'', from a set of ''N'' possible symbols, the number of possible passwords can be found by raising the number of symbols to the power ''L'', i.e. ''N''<sup>''L''</sup>. Increasing either ''L'' or ''N'' will strengthen the generated password. The strength of a random password as measured by the [[information entropy]] is just the [[binary logarithm|base-2 logarithm]] or log<sub>2</sub> of the number of possible passwords, assuming each symbol in the password is produced independently. Thus a random password's information entropy, ''H'', is given by the formula:
{{align|center|
<math>H = \log_2 N^L = L\log_2 N = L {\log N \over \log 2}</math>
}}
where ''N'' is the number of possible symbols and ''L'' is the number of symbols in the password. ''H'' is measured in [[bit]]s.<ref name=NIST/><ref>Schneier, B: ''Applied Cryptography'', 2e, page 233 ff. John Wiley and Sons.</ref> In the last expression, ''log'' can be to any [[Base (exponentiation)|base]].
:{| class="wikitable" style="text-align: right;"
|+ Entropy per symbol for different symbol sets
! Symbol set || Symbol count ''N'' || Entropy per symbol ''H''
|-
| align=left|[[Arabic numerals]] (0–9) (e.g. [[Personal identification number|PIN]]) || 10 || {{Rnd|3.3219280948874|3}} bits
|-
| align=left|[[hexadecimal]] numerals (0–9, A–F) (e.g. [[Wired Equivalent Privacy|WEP]] keys) || 16 || 4.000 bits
|-
| align=left|[[Case sensitivity|Case insensitive]] [[Latin alphabet]] (a–z or A–Z) || 26 || {{Rnd|4.7004397181411|3}} bits
|-
| align=left|Case insensitive [[alphanumeric]] (a–z or A–Z, 0–9) || 36 || {{Rnd|5.1699250014423|3}} bits
|-
| align=left|[[Case sensitivity|Case sensitive]] Latin alphabet (a–z, A–Z) || 52 || {{Rnd|5.7004397181411|3}} bits
|-
| align=left|Case sensitive alphanumeric (a–z, A–Z, 0–9) || 62 || {{Rnd|5.9541963103869|3}} bits
|-
| align=left|All [[Printable characters|ASCII printable characters]] except space || 94 || {{Rnd|6.55458885|3}} bits
|-
| align=left|All [[Latin-1 Supplement|Latin-1 Supplement characters]] || 94 || {{Rnd|6.55458885|3}} bits
|-
| align=left|All [[Printable characters|ASCII printable characters]] || 95 || {{Rnd|6.5698556083309|3}} bits
|-
| align=left|All [[Extended ASCII|extended ASCII printable characters]] || 218 || {{Rnd|7.7681843247769|3}} bits
|-
| align=left|[[Binary number|Binary]] (0–255 or 8 [[bit]]s or 1 [[byte]]) || 256 || {{Rnd|8|3}} bits
|-
| align=left|[[Diceware]] word list || 7776 || {{Rnd|12.924812503606|3}} bits per word
|}
A [[binary number|binary]] [[byte]] is usually expressed using two hexadecimal characters.
To find the length, ''L,'' needed to achieve a desired strength ''H,'' with a password drawn randomly from a set of ''N'' symbols, one computes:
{{align|center|
<math>L = {H \over \log_2 N}</math>
}}
rounded up to the next largest [[natural number|whole number]].
The following table uses this formula to show the required lengths of truly randomly generated passwords to achieve desired password entropies for common symbol sets:
{| class="wikitable"
|+ Lengths ''L'' of truly randomly generated passwords required to achieve a desired password entropy ''H'' for symbol sets containing ''N'' symbols
|-
! rowspan=2|Desired password<br>entropy ''H'' !!rowspan=2| [[Arabic numerals|Arabic<br>numerals]]!!rowspan=2| [[Hexadecimal]] !! colspan=2|[[Case sensitivity|Case insensitive]] !! colspan=2|[[Case sensitivity|Case sensitive]] !! All ASCII !! All [[Extended ASCII|Extended<br>ASCII]] !! rowspan=2|[[Diceware]]<br>word list
|-
! [[Latin alphabet|Latin<br>alphabet]] !![[alphanumeric|alpha-<br>numeric]] !! Latin<br>alphabet !! alpha-<br>numeric !!colspan=2|[[printable characters]]
|-
| 8 bits (1 byte) || 3 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 1 word
|-
| 32 bits (4 bytes) || 10 || 8 || 7 || 7 || 6 || 6 || 5 || 5 || 3 words
|-
| 40 bits (5 bytes) || 13 || 10 || 9 || 8 || 8 || 7 || 7 || 6 || 4 words
|-
| 64 bits (8 bytes) || 20 || 16 || 14 || 13 || 12 || 11 || 10 || 9 || 5 words
|-
| 80 bits (10 bytes) || 25 || 20 || 18 || 16 || 15 || 14 || 13 || 11 || 7 words
|-
| 96 bits (12 bytes) || 29 || 24 || 21 || 19 || 17 || 17 || 15 || 13 || 8 words
|-
| 128 bits (16 bytes) || 39 || 32 || 28 || 25 || 23 || 22 || 20 || 17 || 10 words
|-
| 160 bits (20 bytes) || 49 || 40 || 35 || 31 || 29 || 27 || 25 || 21 || 13 words
|-
| 192 bits (24 bytes) || 58 || 48 || 41 || 38 || 34 || 33 || 30 || 25 || 15 words
|-
| 224 bits (28 bytes) || 68 || 56 || 48 || 44 || 40 || 38 || 35 || 29 || 18 words
|-
| 256 bits (32 bytes) || 78 || 64 || 55 || 50 || 45 || 43 || 39 || 33 || 20 words
|}
=== Human-generated passwords ===
People are notoriously poor at achieving sufficient entropy to produce satisfactory passwords. According to one study involving half a million users, the average password entropy was estimated at 40.54 bits.<ref>{{cite journal|last1=Florencio|first1=Dinei|last2=Herley|first2=Cormac|title=A Large-Scale Study of Web Password Habits|journal=Proceeds of the International World Wide Web Conference Committee|date=May 8, 2007|url=http://research.microsoft.com/pubs/74164/www2007.pdf|ref=ACM 978-1-59593-654-7/07/0005.|url-status=live|archiveurl=https://web.archive.org/web/20150327031521/http://research.microsoft.com/pubs/74164/www2007.pdf|archivedate=March 27, 2015}}</ref> Some stage magicians exploit this inability for amusement, in a minor way, by divining supposed random choices (of numbers, say) made by audience members.
Thus, in one analysis of over 3 million eight-character passwords, the letter "e" was used over 1.5 million times, while the letter "f" was used only 250,000 times. A [[uniform distribution (discrete)|uniform distribution]] would have had each character being used about 900,000 times. The most common number used is "1", whereas the most common letters are a, e, o, and r.<ref name=perfect />
Users rarely make full use of larger character sets in forming passwords. For example, hacking results obtained from a MySpace phishing scheme in 2006 revealed 34,000 passwords, of which only 8.3% used mixed case, numbers, and symbols.<ref name=myspace-passwords>{{cite news | url = http://archive.wired.com/politics/security/commentary/securitymatters/2006/12/72300?currentPage=all | title = MySpace Passwords aren't so Dumb | author = Bruce Schneier | publisher = Wired Magazine | accessdate = April 11, 2008 | date = December 14, 2006 | url-status = live | archiveurl = https://web.archive.org/web/20140521031354/http://archive.wired.com/politics/security/commentary/securitymatters/2006/12/72300?currentPage=all | archivedate = May 21, 2014 }}</ref>
The full strength associated with using the entire ASCII character set (numerals, mixed case letters and special characters) is only achieved if each possible password is equally likely. This seems to suggest that all passwords must contain characters from each of several character classes, perhaps upper and lower case letters, numbers, and non-alphanumeric characters. In fact, such a requirement is a pattern in password choice and can be expected to reduce an attacker's "work factor" (in Claude Shannon's terms). This is a reduction in password "strength". A better requirement would be to require a password NOT to contain any word in an online dictionary, or list of names, or any license plate pattern from any state (in the US) or country (as in the EU). If patterned choices are required, humans are likely to use them in predictable ways, such as capitalizing a letter, adding one or two numbers, and a special character. This predictability means that the increase in password strength is minor when compared to random passwords.
==== NIST Special Publication 800-63-2 ====
[[NIST]] Special Publication 800-63 of June 2004 (revision 2) suggested a scheme to approximate the entropy of human-generated passwords:<ref name=NIST>{{cite web | url = http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf | title = SP 800-63 – Electronic Authentication Guideline | publisher = NIST | accessdate = April 20, 2014 | url-status = dead | archiveurl = https://web.archive.org/web/20040712152833/http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf | archivedate = July 12, 2004 }} {{Webarchive|url=https://web.archive.org/web/20040712152833/http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf |date=July 12, 2004 }}</ref>
Using this scheme, an eight-character human-selected password without upper case characters and non-alphabetic characters OR with either but of the two character sets is estimated to have 18 bits of entropy. The NIST publication concedes that at the time of development, little information was available on the real world selection of passwords. Later research into human-selected password entropy using newly available real world data has demonstrated that the NIST scheme does not provide a valid metric for entropy estimation of human-selected passwords.<ref name=WeirEtAl>{{cite web | url = http://reusablesec.blogspot.com/2010/10/new-paper-on-password-security-metrics.html | title = Testing Metrics for Password Creation Policies by Attacking Large Sets of Revealed Passwords | format = PDF | author1 = Matt Weir | author2 = Susdhir Aggarwal | author3 = Michael Collins | author4 = Henry Stern | date = 7 October 2010 | accessdate = March 21, 2012 | url-status = live | archiveurl = https://web.archive.org/web/20120706124704/http://reusablesec.blogspot.com/2010/10/new-paper-on-password-security-metrics.html | archivedate = July 6, 2012 }}</ref> The June 2017 revision of SP 800-63 (Revision 3) drops this approach.<ref>{{cite web | url = https://pages.nist.gov/800-63-3 | title = SP 800-63-3 – Digital Identity Guidelines | format = PDF | publisher = NIST | date = June 2017 | accessdate = August 6, 2017 | url-status = live | archiveurl = https://web.archive.org/web/20170806142240/https://pages.nist.gov/800-63-3/ | archivedate = August 6, 2017 }}</ref>
===Usability and implementation considerations===
Because national keyboard implementations vary, not all 94 ASCII printable characters can be used everywhere.<!-- The situation of assorted 7-bit ASCII character sets is long and sordid, quite indeterminate, and basically a dog's breakfast. The advent of Unicode / UCS has at least 'settled' what the lowest 128 characters are, though this is not exactly what most of the prior character sets had. --> This can present a problem to an international traveler who wished to log into remote system using a keyboard on a local computer. ''See'' [[List of Latin-script keyboard layouts|''keyboard layout'']]. Many hand held devices, such as [[tablet computer]]s and [[smart phone]]s, require complex shift sequences or keyboard app swapping to enter special characters.
Authentication programs vary in which characters they allow in passwords. Some do not recognize case differences (e.g., the upper-case "E" is considered equivalent to the lower-case "e"), others prohibit some of the other symbols. In the past few decades, systems have permitted more characters in passwords, but limitations still exist. Systems also vary in the maximum length of passwords allowed.
As a practical matter, passwords must be both reasonable and functional for the end user as well as strong enough for the intended purpose. Passwords that are too difficult to remember may be forgotten and so are more likely to be written on paper, which some consider a security risk.<ref name=Gartner>{{cite web | url = http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf | title = Passwords are Near the Breaking Point | publisher = Gartner | author = A. Allan | accessdate = April 10, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20060427032938/http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf | archivedate = April 27, 2006 }} {{Webarchive|url=https://web.archive.org/web/20060427032938/http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf |date=April 27, 2006 }}</ref> In contrast, others argue that forcing users to remember passwords without assistance can only accommodate weak passwords, and thus poses a greater security risk. According to [[Bruce Schneier]], most people are good at securing their wallets or purses, which is a "great place" to store a written password.<ref name=Schneier-writedown>{{cite web | url = http://www.schneier.com/blog/archives/2005/06/write_down_your.html | title = Schneier on Security | work = Write Down Your Password | author = Bruce Schneier | accessdate = April 10, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080413032636/http://www.schneier.com/blog/archives/2005/06/write_down_your.html | archivedate = April 13, 2008 }}</ref>
== Required bits of entropy ==
The minimum number of bits of entropy needed for a password depends on the [[threat model]] for the given application. If [[key stretching]] is not used, passwords with more entropy are needed. RFC 4086, "Randomness Requirements for Security", presents some example threat models and how to calculate the entropy desired for each one.<ref>{{cite IETF | title = Randomness Requirements for Security | rfc = 4086}}</ref> Their answers vary between 29 bits of entropy needed if only online attacks are expected, and up to 96 bits of entropy needed for important cryptographic keys used in applications like encryption where the password or key needs to be secure for a long period of time and stretching isn't applicable. A 2010 [[Georgia Tech Research Institute]] study based on unstretched keys recommended a 12-character random password, but as a minimum length requirement.<ref name="gtri">{{cite web|url=http://www.gtri.gatech.edu/casestudy/Teraflop-Troubles-Power-Graphics-Processing-Units-GPUs-Password-Security-System|title=Teraflop Troubles: The Power of Graphics Processing Units May Threaten the World's Password Security System|publisher=[[Georgia Tech Research Institute]]|accessdate=2010-11-07|url-status=live|archiveurl=https://web.archive.org/web/20101230063449/http://www.gtri.gatech.edu/casestudy/Teraflop-Troubles-Power-Graphics-Processing-Units-GPUs-Password-Security-System|archivedate=2010-12-30}}</ref><ref name="msnbc">{{cite news|url=http://www.nbcnews.com/id/38771772|title=Want to deter hackers? Make your password longer|publisher=[[NBC News]]|date=2010-08-19|accessdate=2010-11-07}}</ref>. Keep in mind that computing power continues to grow, so to prevent offline attacks the required bits of entropy should also increase over time.
The upper end is related to the stringent requirements of choosing keys used in encryption. In 1999, [[EFF DES cracker|an Electronic Frontier Foundation project]] broke 56-bit [[Data Encryption Standard|DES]] encryption in less than a day using specially designed hardware.<ref name=EFF-deep-crack>{{cite web | url = http://w2.eff.org/Privacy/Crypto/Crypto_misc/DESCracker/HTML/19980716_eff_descracker_pressrel.html | title = EFF DES Cracker machine brings honesty to crypto debate | publisher = EFF | accessdate = March 27, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20100101001853/http://w2.eff.org/Privacy/Crypto/Crypto_misc/DESCracker/HTML/19980716_eff_descracker_pressrel.html | archivedate = January 1, 2010 }}</ref> In 2002, ''[[distributed.net]]'' cracked a 64-bit key in 4 years, 9 months, and 23 days.<ref name=distributed>{{cite web | url = http://stats.distributed.net/projects.php?project_id=5 | title = 64-bit key project status | publisher = Distributed.net | accessdate = March 27, 2008 | archive-url = https://web.archive.org/web/20130910051812/http://stats.distributed.net/projects.php?project_id=5 | archive-date = September 10, 2013 | url-status = dead }}</ref> As of October 12, 2011, ''distributed.net'' estimates that cracking a 72-bit key using current hardware will take about 45,579 days or 124.8 years.<ref name=distributed-72>{{cite web | url = http://stats.distributed.net/projects.php?project_id=8 | title = 72-bit key project status | publisher = Distributed.net | accessdate = October 12, 2011 }}</ref> Due to currently understood limitations from fundamental physics, there is no expectation that any [[digital computer]] (or combination) will be capable of breaking 256-bit encryption via a brute-force attack.<ref name=schneier-cyptogram>{{cite web | url = http://www.schneier.com/crypto-gram-9902.html | title = Snakeoil: Warning Sign #5: Ridiculous key lengths | author = Bruce Schneier | accessdate = March 27, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080418225248/http://www.schneier.com/crypto-gram-9902.html | archivedate = April 18, 2008 }}</ref> Whether or not [[quantum computers]] will be able to do so in practice is still unknown, though theoretical analysis suggests such possibilities.<ref>{{cite web |url=https://stackoverflow.com/questions/2768807/quantum-computing-and-encryption-breaking |title=Quantum Computing and Encryption Breaking |publisher=Stack Overflow |date=2011-05-27 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130521043721/http://stackoverflow.com/questions/2768807/quantum-computing-and-encryption-breaking |archivedate=2013-05-21 }}</ref>
== Guidelines for strong passwords ==
=== Common guidelines ===
Guidelines for choosing good passwords are typically designed to make passwords harder to discover by intelligent guessing. Common guidelines advocated by proponents of software system security include:<ref>Microsoft Corporation, [http://www.microsoft.com/protect/yourself/password/create.mspx Strong passwords: How to create and use them] {{webarchive|url=https://web.archive.org/web/20080101132156/http://www.microsoft.com/protect/yourself/password/create.mspx |date=2008-01-01 }}</ref><ref name="schneier07">Bruce Schneier, [http://www.schneier.com/blog/archives/2007/01/choosing_secure.html Choosing Secure Passwords] {{webarchive|url=https://web.archive.org/web/20080223002450/http://www.schneier.com/blog/archives/2007/01/choosing_secure.html |date=2008-02-23 }}</ref><ref>Google, Inc., [https://www.google.com/accounts/PasswordHelp How safe is your password?] {{webarchive|url=https://web.archive.org/web/20080222225549/https://www.google.com/accounts/PasswordHelp |date=2008-02-22 }}</ref><ref name="UMD01">University of Maryland, [http://www.cs.umd.edu/faq/Passwords.shtml Choosing a Good Password] {{webarchive|url=https://web.archive.org/web/20140614022254/http://www.cs.umd.edu/faq/Passwords.shtml |date=2014-06-14 }}</ref><ref name="Bidwell000">{{cite book
| first = Teri
| last = Bidwell
| title = Hack Proofing Your Identity in the Information Age
| url = https://archive.org/details/hackproofingyour0000bidw
| url-access = registration
| publisher = Syngress Publishing
| year = 2002
| isbn = 978-1-931836-51-7
}}</ref>
* Use a minimum password length of 10 or more characters if permitted.
* Include lowercase and uppercase alphabetic characters, numbers and symbols if permitted.
* Generate passwords randomly where feasible.
* Avoid using the same password twice (e.g., across multiple user accounts and/or software systems).
* Avoid character repetition, keyboard patterns, dictionary words, letter or number sequences.
* Avoid using information that is or might become publicly associated with the user or the account, such as username, ancestors' names or dates.
* Avoid using information that the user's colleagues and/or acquaintances might know to be associated with the user, such as relative or pet names, romantic links (current or past) and biographical information (e.g., ID numbers, ancestors' names or dates)..
* Do not use passwords which consist wholly of any simple combination of the aforementioned weak components.
Some guidelines advise against writing passwords down, while others, noting the large numbers of password protected systems users must access, encourage writing down passwords as long as the written password lists are kept in a safe place, not attached to a monitor or in an unlocked desk drawer.<ref name="schneier.com">{{cite web|url=http://www.schneier.com/blog/archives/2005/06/write_down_your.html|title=Write Down Your Password - Schneier on Security|website=www.schneier.com|url-status=live|archiveurl=https://web.archive.org/web/20080413032636/http://www.schneier.com/blog/archives/2005/06/write_down_your.html|archivedate=2008-04-13}}</ref> Use of a [[password manager]] is recommended by the NCSC.<ref name="National Cyber Security Centre">{{cite web|url=https://www.ncsc.gov.uk/blog-post/what-does-ncsc-think-password-managers|title=What does the NCSC think of password managers?|website=www.ncsc.gov.uk|url-status=live|archiveurl=https://web.archive.org/web/20190305053922/https://www.ncsc.gov.uk/blog-post/what-does-ncsc-think-password-managers|archivedate=2019-03-05}}</ref>
The possible character set for a password can be constrained by different web sites or by the range of keyboards on which the password must be entered.<ref>E.g., for a keyboard with only 17 nonalphanumeric characters, see one for a BlackBerry phone in [http://www.hardwaresecrets.com/fullimage.php?image=18705 an enlarged image] {{webarchive|url=https://web.archive.org/web/20110406121058/http://www.hardwaresecrets.com/fullimage.php?image=18705 |date=2011-04-06 }} in support of [http://www.hardwaresecrets.com/article/795/2 Sandy Berger, ''BlackBerry Tour 9630 (Verizon) Cell Phone Review'', in Hardware Secrets (August 31, 2009)] {{webarchive|url=https://web.archive.org/web/20110406121111/http://www.hardwaresecrets.com/article/795/2 |date=April 6, 2011 }}, both as accessed January 19, 2010. That some websites don’t allow nonalphanumerics is indicated by [http://forums.theregister.co.uk/post/527230 Kanhef, ''Idiots, For Different Reasons'' (June 30, 2009) (topic post)] {{webarchive|url=https://web.archive.org/web/20110406121058/http://forums.theregister.co.uk/post/527230 |date=April 6, 2011 }}, as accessed January 20, 2010.</ref>
=== Examples of weak passwords ===
{{See also|Password cracking|List of the most common passwords}}
As with any security measure, passwords vary in effectiveness (i.e., strength); some are weaker than others. For example, the difference in weakness between a dictionary word and a word with obfuscation (i.e., letters in the password are substituted by, say, numbers — a common approach) may cost a password cracking device a few more seconds; this adds little strength. The examples below illustrate various ways weak passwords might be constructed, all of which are based on simple patterns which result in extremely low entropy, allowing them to be tested automatically at high speeds.:<ref name=perfect>{{cite book
| last = Burnett
| first = Mark
| editor = Kleiman, Dave
| title = Perfect Passwords
| publisher = Syngress Publishing
| year = 2006
| location = Rockland, Massachusetts
| isbn = 978-1-59749-041-2
| page = 181
| editor-link = Dave Kleiman }}</ref>
* [[Default password]]s (as supplied by the system vendor and meant to be changed at installation time): ''password'', ''default'', ''admin'', ''guest'', etc. Lists of default passwords are widely available on the internet.
* Dictionary words: ''chameleon'', ''RedSox'', ''sandbags'', ''bunnyhop!'', ''IntenseCrabtree'', etc., including words in non-English dictionaries.
* Words with numbers appended: ''password1'', ''deer2000'', ''john1234'', etc., can be easily tested automatically with little lost time.
* Words with simple obfuscation: ''p@ssw0rd'', ''l33th4x0r'', ''g0ldf1sh'', etc., can be tested automatically with little additional effort. For example, a domain administrator password compromised in the [[DigiNotar]] attack was reportedly ''Pr0d@dm1n.''<ref>{{cite web |url=http://thehackernews.com/2011/09/comodohacker-responsible-for-diginotar.html |title=ComodoHacker responsible for DigiNotar Attack – Hacking News |publisher=Thehackernews.com |date=2011-09-06 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130517204022/http://thehackernews.com/2011/09/comodohacker-responsible-for-diginotar.html |archivedate=2013-05-17 }}</ref>
* Doubled words: ''crabcrab'', ''stopstop'', ''treetree'', ''passpass'', etc.
* Common sequences from a keyboard row: ''qwerty'', ''123456'', ''asdfgh'', ''fred'', etc.
* Numeric sequences based on well known numbers such as 911 <sup>([[9-1-1]], [[September 11 attacks|9/11]])</sup>, 314159... <sup>([[pi]])</sup>, 27182... <sup>([[E (mathematical constant)|e]])</sup>, 112 <sup>([[112 (emergency telephone number)|1-1-2]])</sup>, etc.
* Identifiers: ''jsmith123'', ''1/1/1970'', ''555–1234'', one's username, etc.
* Weak passwords in non-English languages, such as contraseña (Spanish) and ji32k7au4a83 (bopomofo keyboard encoding from Chinese)<ref>{{cite news|url=https://www.iheart.com/content/2019-03-08-heres-why-ji32k7au4a83-is-a-surprisingly-common-password/|title=Here's Why 'ji32k7au4a83' Is A Surprisingly Common Password|accessdate=25 March 2019|date=8 March 2019|author=Dave Basner}}</ref>
* Anything personally related to an individual: license plate number, Social Security number, current or past telephone numbers, student ID, current address, previous addresses, birthday, sports team, relative's or pet's names/nicknames/birthdays/initials, etc., can easily be tested automatically after a simple investigation of a person's details.
* Dates: dates follow a pattern and make your password weak.
There are many other ways a password can be weak,<ref>Bidwell, p. 87</ref> corresponding to the strengths of various attack schemes; the core principle is that a password should have high entropy (usually taken to be equivalent to randomness) and ''not'' be readily derivable by any "clever" pattern, nor should passwords be mixed with information identifying the user. On-line services often provide a restore password function that a hacker can figure out and by doing so bypass a password. Choosing hard-to-guess restore password questions can further secure the password.<ref>{{cite web |url=http://www.lockdown.co.uk/?pg=password_guide |title=Guidelines for choosing a good password |publisher=Lockdown.co.uk |date=2009-07-10 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130326163635/http://www.lockdown.co.uk/?pg=password_guide |archivedate=2013-03-26 }}</ref>
=== Rethinking password change guidelines ===
{{outdated section|reason="standards of today" and processor speeds have both changed significantly since 2012|date=September 2017}}
In December, 2012, [[William Cheswick]] wrote an article published in ACM magazine that included the mathematical possibilities of how easy or difficult it would be to break passwords that are constructed using the commonly recommended, and sometimes followed, standards of today. In his article, William showed that a standard eight character alpha-numeric password could withstand a brute force attack of ten million attempts per second, and remain unbroken for 252 days. Ten million attempts each second is the acceptable rate of attempts using a multi-core system that most users would have access to. A much greater degree of attempts, at the rate of 7 billion per second, could also be achieved when using modern GPUs. At this rate, the same 8 character full alpha-numeric password could be broken in approximately 0.36 days (i.e. 9 hours). Increasing the password complexity to a 13 character full alpha-numeric password increases the time needed to crack it to more than 900,000 years at 7 billion attempts per second. This is, of course, assuming the password does not use a common word that a dictionary attack could break much sooner. Using a password of this strength reduces the obligation to change it as often as many organizations require, including the U.S. Government, as it could not be reasonably broken in such a short period of time.<ref>{{Cite web|url=https://queue.acm.org/detail.cfm?id=2422416|title=HTML version - Rethinking Passwords|last=William|first=Cheswick|date=2012-12-31|website=[[Association for Computing Machinery]] (ACM)|url-status=live|archive-url=https://archive.today/20191103172648/https://queue.acm.org/detail.cfm?id=2422416|archive-date=2019-11-03|access-date=2019-11-03}}</ref><ref>{{Cite journal|url=https://dl.acm.org/citation.cfm?doid=2405116.2422416|title=ACM Digital Library - Rethinking Passwords|last=William|first=Cheswick|date=2012-12-31|journal=Queue|url-status=live|archive-url=https://archive.today/20191103173450/https://dl.acm.org/citation.cfm?doid=2405116.2422416|archive-date=2019-11-03|access-date=2019-11-03}}</ref>
== Password policy ==
{{Main|Password policy}}
A password policy is a guide to choosing satisfactory passwords. It is intended to:
* assist users in choosing strong passwords
* ensure the passwords are suited to the target population
* provide recommendations for users with regard to the handling of their passwords
* impose a requirement to change any password which has been lost or compromised, and perhaps that no password be used longer than a limited time
* (in some cases) prescribe the pattern of characters which passwords must contain
* use a [[Blacklist (computing)#Usernames and passwords|password blacklist]] to block the usage of weak or easily guessed passwords.
For example, password expiration is often covered by password policies. Password expiration serves two purposes:<ref name=LOPSA>{{cite web | url = http://lopsa.org/node/295 | title = In Defense of Password Expiration | publisher = League of Professional Systems Administrators | accessdate = April 14, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20081012063918/http://lopsa.org/node/295 | archivedate = October 12, 2008 }} {{Webarchive|url=https://web.archive.org/web/20081012063918/http://lopsa.org/node/295 |date=October 12, 2008 }}</ref>
* If the time to crack a password is estimated to be 100 days, password expiration times fewer than 100 days may help ensure insufficient time for an attacker.
* If a password has been compromised, requiring it to be changed regularly should limit the access time for the attacker.
However, password expiration has its drawbacks:<ref name=WEB>{{cite web
|url = https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry
|title = The problems with forcing regular password expiry
|date = 15 April 2016
|work = IA Matters
|publisher = CESG: the Information Security Arm of GCHQ
|accessdate = 5 Aug 2016
|url-status = dead
|archiveurl = https://web.archive.org/web/20160817223701/https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry
|archivedate = 17 August 2016
}} {{Webarchive|url=https://web.archive.org/web/20160817223701/https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry |date=17 August 2016 }}</ref><ref name=CERIAS>{{cite web | url = http://www.cerias.purdue.edu/weblogs/spaf/general/post-30/ | title = Security Myths and Passwords | publisher = The Center for Education and Research in Information Assurance and Security | author = Eugene Spafford | accessdate = April 14, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080411123000/http://www.cerias.purdue.edu/weblogs/spaf/general/post-30/ | archivedate = April 11, 2008 }}</ref>
* Asking users to change passwords frequently encourages simple, weak passwords.
* If one has a truly strong password, there is little point in changing it. Changing passwords which are already strong introduces risk that the new password may be less strong.
* A compromised password is likely to be used immediately by an attacker to install a [[backdoor (computing)|backdoor]], often via [[privilege escalation]]. Once this is accomplished, password changes won't prevent future attacker access.
* Moving from never changing one's password to changing the password on every authenticate attempt (pass ''or'' fail attempts) only doubles the number of attempts the attacker must make on average before guessing the password in a brute force attack. One gains ''much'' more security by just increasing the password length by one character than changing the password on every use.
=== Creating and handling passwords ===
The hardest passwords to crack, for a given length and character set, are random character strings; if long enough they resist brute force attacks (because there are many characters) and guessing attacks (due to high entropy). However, such passwords are typically the hardest to remember. The imposition of a requirement for such passwords in a password policy may encourage users to write them down, store them in [[mobile device]]s, or share them with others as a safeguard against memory failure. While some people consider each of these user resorts to increase security risks, others suggest the absurdity of expecting users to remember distinct complex passwords for each of the dozens of accounts they access. For example, in 2005, security expert [[Bruce Schneier]] recommended writing down one's password:
{{Quote|quote=Simply, people can no longer remember passwords good enough to reliably defend against dictionary attacks, and are much more secure if they choose a password too complicated to remember and then write it down. We're all good at securing small pieces of paper. I recommend that people write their passwords down on a small piece of paper, and keep it with their other valuable small pieces of paper: in their wallet.<ref name="schneier.com"/>}}
The following measures may increase acceptance of strong password requirements, if carefully used:
* a training program. Also, updated training for those who fail to follow the password policy (lost passwords, inadequate passwords, etc.).
* rewarding strong password users by reducing the rate, or eliminating altogether, the need for password changes (password expiration). The strength of user-chosen passwords can be estimated by automatic programs which inspect and evaluate proposed passwords, when setting or changing a password.
* displaying to each user the last login date and time in the hope that the user may notice unauthorized access, suggesting a compromised password.
* allowing users to reset their passwords via an automatic system, which reduces help desk call volume. However, some systems are themselves insecure; for instance, easily guessed or researched answers to password reset questions bypass the advantages of a strong password system.
* using randomly generated passwords that do not allow users to choose their own passwords, or at least offering randomly generated passwords as an option.
=== Memory techniques ===
Password policies sometimes suggest [[Memory improvement|memory technique]]s to assist remembering passwords:
* mnemonic passwords: Some users develop [[mnemonic]] phrases and use them to generate more or less random passwords which are nevertheless relatively easy for the user to remember. For instance, the first letter of each word in a memorable phrase. Research estimates the password strength of such passwords to be about 3.7 bits per character, compared to the 6.6 bits for random passwords from ASCII printable characters.<ref>{{cite conference |url=https://www.internetsociety.org/sites/default/files/ndss2017_03A-4_Kiesel_paper.pdf |title=A Large-scale Analysis of the Mnemonic Password Advice |author=Johannes Kiesel |author2=Benno Stein |author3=Stefan Lucks |year=2017 |publisher=Internet Society |booktitle=Proceedings of the 24th Annual Network and Distributed System Security Symposium (NDSS 17) |url-status=dead |archiveurl=https://web.archive.org/web/20170330174637/https://www.internetsociety.org/sites/default/files/ndss2017_03A-4_Kiesel_paper.pdf |archivedate=2017-03-30 |conference= |access-date=2017-03-30 }}</ref> Silly ones are possibly more memorable.<ref>[http://uc.iupui.edu/uploadedFiles/Learning_Center_Site/Mnemonic%20Devices.pdf ''Mnemonic Devices'' (Indianapolis, Ind.: Bepko Learning Ctr., University College)], as accessed January 19, 2010 {{webarchive |url=https://web.archive.org/web/20100610000727/http://uc.iupui.edu/uploadedFiles/Learning_Center_Site/Mnemonic%20Devices.pdf |date=June 10, 2010 }}</ref> Another way to make random-appearing passwords more memorable is to use random words (see [[diceware]]) or syllables instead of randomly chosen letters.
* after-the-fact mnemonics: After the password has been established, invent a mnemonic that fits.<ref>[http://changingminds.org/techniques/memory/remembering_passwords.htm Remembering Passwords (ChangingMinds.org)] {{webarchive|url=http://archive.wikiwix.com/cache/20100121181700/http://changingminds.org/techniques/memory/remembering_passwords.htm |date=2010-01-21 }}, as accessed January 19, 2010</ref> It does not have to be reasonable or sensible, only memorable. This allows passwords to be random.
* visual representations of passwords: a password is memorized based on a sequence of keys pressed, not the values of the keys themselves, e.g. a sequence !qAsdE#2 represents a [[rhomboid]] on a US keyboard. The method to produce such passwords is called PsychoPass;<ref name=":10">{{cite journal | last1 = Cipresso | first1 = P | last2 = Gaggioli | first2 = A | last3 = Serino | first3 = S | last4 = Cipresso | first4 = S | last5 = Riva | first5 = G | year = 2012 | title = How to Create Memorizable and Strong Passwords | journal = J Med Internet Res | volume = 14 | issue = 1| page = e10 | doi = 10.2196/jmir.1906 | pmid = 22233980 | pmc=3846346}}</ref> moreover, such spatially patterned passwords can be improved.<ref>{{cite journal | pmc = 3742392 | pmid=23942458 | doi=10.2196/jmir.2366 | volume=15 | issue=8 | title=Security analysis and improvements to the PsychoPass method. | year=2013 | journal=J Med Internet Res | page=e161 | last1 = Brumen | first1 = B | last2 = Heričko | first2 = M | last3 = Rozman | first3 = I | last4 = Hölbl | first4 = M}}</ref><ref>{{cite web|url=https://blogs.dropbox.com/tech/2012/04/zxcvbn-realistic-password-strength-estimation/|title=zxcvbn: realistic password strength estimation|website=Dropbox Tech Blog|url-status=live|archiveurl=https://web.archive.org/web/20150405131234/https://blogs.dropbox.com/tech/2012/04/zxcvbn-realistic-password-strength-estimation/|archivedate=2015-04-05}}</ref>
* password patterns: Any pattern in a password makes guessing (automated or not) easier and reduces an attacker's work factor.
** For example, passwords of the following case-insensitive form: consonant, vowel, consonant, consonant, vowel, consonant, number, number (for example ''pinray45'') are called Environ passwords.<ref>{{cite book
| first = Ross
| last = Anderson
| year = 2001
| title = Security engineering: A guide to building dependable distributed systems
| url = https://archive.org/details/securityengineer00ande
| url-access = registration
| publisher = John Wiley & Sons, Inc.
| isbn = 978-0470068526
}}</ref> The pattern of alternating vowel and consonant characters was intended to make passwords more likely to be pronounceable and thus more memorable. Unfortunately, such patterns severely reduce the password's [[information entropy]], making [[brute force attack|brute force]] password attacks considerably more efficient. In the UK in October 2005, employees of [[Departments of the United Kingdom Government|the British government]] were advised to use passwords in this form.{{Citation needed|date=January 2012}}
=== Protecting passwords ===
{{how-to|date=March 2013}}
Computer users are generally advised to "never write down a password anywhere, no matter what" and "never use the same password for more than one account."<ref>{{Cite news|url=https://www.telegraph.co.uk/finance/personalfinance/bank-accounts/12149022/Use-the-same-password-for-everything-Youre-fuelling-a-surge-in-current-account-fraud.html|title=Use the same password for everything? You're fuelling a surge in current account fraud|last=Morley|first=Katie|date=2016-02-10|work=Telegraph.co.uk|access-date=2017-05-22|language=en|url-status=live|archiveurl=https://web.archive.org/web/20170513044756/http://www.telegraph.co.uk/finance/personalfinance/bank-accounts/12149022/Use-the-same-password-for-everything-Youre-fuelling-a-surge-in-current-account-fraud.html|archivedate=2017-05-13}}</ref> However, an ordinary computer user may have dozens of password-protected accounts. Users with multiple accounts needing passwords often give up and use the same password for every account. When varied password complexity requirements prevent use of the same (memorable) scheme for producing high-strength passwords, oversimplified passwords will often be created to satisfy irritating and conflicting password requirements.
A [[Microsoft]] expert was quoted as saying at a 2005 security conference: "I claim that password policy should say you should write down your password. I have 68 different passwords. If I am not allowed to write any of them down, guess what I am going to do? I am going to use the same password on every one of them."<ref>[http://www.cnet.com/news/microsoft-security-guru-jot-down-your-passwords/ Microsoft security guru: Jot down your passwords] {{webarchive|url=https://web.archive.org/web/20160205211730/http://www.cnet.com/news/microsoft-security-guru-jot-down-your-passwords/ |date=2016-02-05 }}, ''c\net'' Retrieved on 2016-02-02</ref>
Software is available for popular hand-held computers that can store passwords for numerous accounts in encrypted form. Passwords can be [[Encryption|encrypted]] by hand on paper and remember the encryption method and key.<ref>Simple methods (e.g., [[Rot13|ROT13]] and [[Cipher#Historical ciphers|some other old ciphers]]) may suffice; for more sophisticated hand-methods see [http://www.schneier.com/solitaire.html Bruce Schneier, The Solitaire Encryption Algorithm (May 26, 1999) (ver. 1.2)] {{webarchive|url=https://web.archive.org/web/20151113061059/https://www.schneier.com/solitaire.html |date=November 13, 2015 }}, as accessed January 19, 2010, and [http://www.ibm.com/developerworks/power/library/pa-bigiron5/ Sam Siewert, ''Big Iron Lessons, Part 5: Introduction to Cryptography, From Egypt Through Enigma'' (IBM, July 26, 2005)] {{webarchive|url=https://web.archive.org/web/20100803202847/http://www.ibm.com/developerworks/power/library/pa-bigiron5/ |date=August 3, 2010 }}, as accessed January 19, 2010.</ref>
A single "master" password can be used with software to generate a new password for each application, based on the master password and the application's name. This approach is used by Stanford's PwdHash,<ref>{{cite conference |url=http://crypto.stanford.edu/PwdHash/pwdhash.pdf |title=Stronger Password Authentication Using Browser Extensions |author=Blake Ross |author2=Collin Jackson |author3=Nicholas Miyake |author4=Dan Boneh |author5=John C. Mitchell |year=2005 |publisher=USENIX |booktitle=Proceedings of the 14th Usenix Security Symposium |pages=17–32 |url-status=live |archiveurl=http://archive.wikiwix.com/cache/20120429031741/http://crypto.stanford.edu/PwdHash/pwdhash.pdf |archivedate=2012-04-29 }}</ref> Princeton's Password Multiplier,<ref>{{cite conference |url=http://www.cs.utexas.edu/~bwaters/publications/papers/www2005.pdf |title=A Convenient Method for Securely Managing Passwords |author=J. Alex Halderman |author2=Brent Waters |author3=Edward W. Felten |year=2005 |publisher=ACM |pages=1–9 |url-status=live |archiveurl=https://web.archive.org/web/20160115062049/http://www.cs.utexas.edu/~bwaters/publications/papers/www2005.pdf |archivedate=2016-01-15 |author-link=J. Alex Halderman }}</ref> and other stateless password managers. In this approach, protecting the master password is essential, as all passwords are compromised if the master password is revealed, and lost if the master password is forgotten or misplaced.
==Password managers==
{{Main|Password manager}}
A reasonable compromise for using large numbers of passwords is to record them in a password manager program, which include stand-alone applications, web browser extensions, or a manager built into the operating system. A password manager allows the user to use hundreds of different passwords, and only have to remember a single password, the one which opens the encrypted password database. Needless to say, this single password should be strong and well-protected (not recorded anywhere). Most password managers can automatically create strong passwords using a cryptographically secure [[random password generator]], as well as calculating the entropy of the generated password. A good password manager will provide resistance against attacks such as [[key logging]], clipboard logging and various other memory spying techniques.
==See also==
* [[Keystroke logging]]
* [[Passphrase]]
* [[Phishing]]
* [[Vulnerability (computing)]]
== References ==
{{Reflist|30em}}
== External links ==
* [http://tools.ietf.org/html/rfc4086 RFC 4086: Randomness Requirements for Security]
* [https://web.archive.org/web/20160416035311/http://www.architectingsecurity.com/2010/09/11/password-patterns/ Password Patterns:The next generation dictionary attacks]
{{DEFAULTSORT:Password Strength}}
[[Category:Cryptography]]
[[Category:Password authentication]]<noinclude>
<small>This page was moved from [[:en:Password strength]]. Its edit history can be viewed at [[Password strength/edithistory]]</small></noinclude>
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Nominada para su borrado, véase [[Wikipedia:Consultas de borrado/Password_strength]] mediante [[WP:Twinkle Lite|Twinkle Lite]]
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{{short description|Measure of the effectiveness of a password in resisting guessing and brute-force attacks}}
[[File:KeePass random password.png|thumb|400px|Options menu of the [[random password generation]] tool in [[KeePass]]. Enabling more character subsets raises the strength of generated passwords a small amount, whereas increasing their length raises the strength a large amount.]]
'''Password strength''' is a measure of the effectiveness of a [[password]] against guessing or [[brute-force attack]]s. In its usual form, it estimates how many trials an attacker who does not have direct access to the password would need, on average, to guess it correctly. The strength of a password is a function of length, complexity, and unpredictability.<ref name=CERT>{{cite web | url = http://www.us-cert.gov/cas/tips/ST04-002.html | title = Cyber Security Tip ST04-002 | work = Choosing and Protecting Passwords | publisher = US CERT | accessdate = June 20, 2009 | url-status = live | archiveurl = https://web.archive.org/web/20090707141138/http://www.us-cert.gov/cas/tips/ST04-002.html | archivedate = July 7, 2009 }}</ref>
Using strong passwords lowers overall [[risk]] of a security breach, but strong passwords do not replace the need for other effective [[security controls]]. The effectiveness of a password of a given strength is strongly determined by the design and implementation of the [[Authentication#Factors and identity|factors]] (knowledge, ownership, inherence). The first factor is the main focus in this article.
The rate at which an attacker can submit guessed passwords to the system is a key factor in determining system security. Some systems impose a time-out of several seconds after a small number (e.g. three) of failed password entry attempts. In the absence of other vulnerabilities, such systems can be effectively secured with relatively simple passwords. However, the system must store information about the user's passwords in some form and if that information is stolen, say by breaching system security, the user's passwords can be at risk.
In 2019, the United Kingdom's [[National Cyber Security Centre (United Kingdom)|NCSC]] analysed public databases of breached accounts to see which words, phrases and strings people used. Top of the list was 123456, appearing in more than 23 million passwords. The second-most popular string, 123456789, was not much harder to crack, while the top five included "[[qwerty]]", "password" and 1111111.<ref>{{Cite web|url=https://www.bbc.com/news/technology-47974583|title=Millions using 123456 as password, security study finds|date=21 April 2019|website=BBC News|access-date=24 April 2019}}</ref>
==Password creation==
Passwords are created either automatically (using randomizing equipment) or by a human; the latter case is more common. While the strength of randomly chosen passwords against a [[brute-force attack]] can be calculated with precision, determining the strength of human-generated passwords is challenging.
Typically, humans are asked to choose a password, sometimes guided by suggestions or restricted by a set of rules, when creating a new account for a computer system or Internet Web site. Only rough estimates of strength are possible, since humans tend to follow patterns in such tasks, and those patterns can usually assist an attacker.<ref name=NIST /> In addition, lists of commonly chosen passwords are widely available for use by password guessing programs. Such lists include the numerous online dictionaries for various human languages, breached databases of plaintext and hashed passwords from various online business and social accounts, along with other common passwords. All items in such lists are considered weak, as are passwords that are simple modifications of them. For some decades, investigations of passwords on multi-user computer systems have shown that 40% or more{{Citation needed|date=March 2016}} are readily guessed using only computer programs, and more can be found when information about a particular user is taken into account during the attack.
==Password guess validation==
Systems that use passwords for authentication must have some way to check any password entered to gain access. If the valid passwords are simply stored in a system file or database, an attacker who gains sufficient access to the system will obtain all user passwords, giving the attacker access to all accounts on the attacked system, and possibly other systems where users employ the same or similar passwords. One way to reduce this risk is to store only a [[cryptographic hash]] of each password instead of the password itself. Standard cryptographic hashes, such as the [[Secure Hash Algorithm (disambiguation)|Secure Hash Algorithm]] (SHA) series, are very hard to reverse, so an attacker who gets hold of the hash value cannot directly recover the password. However, knowledge of the hash value lets the attacker quickly test guesses offline. [[Password cracking]] programs are widely available that will test a large number of trial passwords against a purloined cryptographic hash.
Improvements in computing technology keep increasing the rate at which guessed passwords can be tested. For example, in 2010, the [[Georgia Tech Research Institute]] developed a method of using [[GPGPU]] to crack passwords much faster.<ref name="gtri"/> [[Elcomsoft]] invented the usage of common graphic cards for quicker password recovery in August 2007 and soon filed a corresponding patent in the US.<ref name="belenko">{{ cite patent | country=US | number=7929707 | status=patent | title=Use of graphics processors as parallel math co-processors for password recovery | assign1=Elcomsoft Co. Ltd. | inventor= Andrey V. Belenko | gdate=2011-04-19 }}</ref> By 2011, commercial products were available that claimed the ability to test up to 112,000 passwords per second on a standard desktop computer, using a high-end graphics processor for that time.<ref name=elcomsoft>[http://www.elcomsoft.com/eprb.html#gpu Elcomsoft.com] {{webarchive|url=https://web.archive.org/web/20061017173506/http://www.elcomsoft.com/eprb.html |date=2006-10-17 }}, [[ElcomSoft]] Password Recovery Speed table, [[NTLM]] passwords, [[Nvidia Tesla]] S1070 GPU, accessed 2011-02-01</ref> Such a device will crack a 6 letter single-case password in one day. Note that the work can be distributed over many computers for an additional speedup proportional to the number of available computers with comparable GPUs. Special [[key stretching]] hashes are available that take a relatively long time to compute, reducing the rate at which guessing can take place. Although it is considered best practice to use key stretching, many common systems do not.
Another situation where quick guessing is possible is when the password is used to form a [[cryptographic key]]. In such cases, an attacker can quickly check to see if a guessed password successfully decodes encrypted data. For example, one commercial product claims to test 103,000 [[Wi-Fi Protected Access|WPA]] PSK passwords per second.<ref>[http://www.elcomsoft.com/ewsa.html Elcomsoft Wireless Security Auditor, HD5970 GPU] {{webarchive|url=https://web.archive.org/web/20110219131825/http://www.elcomsoft.com/ewsa.html |date=2011-02-19 }} accessed 2011-02-11</ref>
If a password system only stores the hash of the password, an attacker can pre-compute hash values for common passwords variants and for all passwords shorter than a certain length, allowing very rapid recovery of the password once its hash is obtained. Very long lists of pre-computed password hashes can be efficiently stored using [[rainbow tables]]. This method of attack can be foiled by storing a random value, called a [[cryptographic salt]], along with the hash. The salt is combined with the password when computing the hash, so an attacker precomputing a rainbow table would have to store for each password its hash with every possible salt value. This becomes infeasible if the salt has a big enough range, say a 32-bit number. Unfortunately, many authentication systems in common use do not employ salts and rainbow tables are available on the Internet for several such systems.
===Entropy as a measure of password strength===
It is usual in the computer industry to specify password strength in terms of [[information entropy]] which is measured in [[bit]]s and is a concept from [[information theory]]. Instead of the number of guesses needed to find the password with certainty, the [[Binary logarithm|base-2 logarithm]] of that number is given, which is commonly referred to as the number of "entropy bits" in a password, though this is not exactly the same quantity as information entropy.<ref>{{cite conference |url=http://www.isiweb.ee.ethz.ch/archive/massey_pub/pdf/BI633.pdf |title=Guessing and entropy |author=James Massey |authorlink= |year=1994 |publisher=IEEE |pages=204|booktitle=Proceedings of 1994 IEEE International Symposium on Information Theory|author-link=James Massey }}</ref> A password with an entropy of 42 bits calculated in this way would be as strong as a string of 42 bits chosen randomly, for example by a [[fair coin]] toss. Put another way, a password with an entropy of 42 bits would require 2<sup>42</sup> (4,398,046,511,104) attempts to exhaust all possibilities during a [[brute force search]]. Thus, by increasing the entropy of the password by one bit the number of guesses required doubles, making an attacker's task twice as difficult. On average, an attacker will have to try half the possible number of passwords before finding the correct one.<ref name=NIST />
=== Random passwords ===
{{Main|Random password generator}}
Random passwords consist of a string of symbols of specified length taken from some set of symbols using a random selection process in which each symbol is equally likely to be selected. The symbols can be individual characters from a character set (e.g., the [[ASCII]] character set), syllables designed to form pronounceable passwords, or even words from a word list (thus forming a [[passphrase]]).
The strength of random passwords depends on the actual entropy of the underlying number generator; however, these are often not truly random, but pseudorandom. Many publicly available password generators use random number generators found in programming libraries that offer limited entropy. However most modern operating systems offer cryptographically strong random number generators that are suitable for password generation. It is also possible to use ordinary [[dice]] to generate random passwords. ''See [[Random password generator#Stronger methods|stronger methods]].'' Random password programs often have the ability to ensure that the resulting password complies with a local [[password policy]]; for instance, by always producing a mix of letters, numbers and special characters.
For passwords generated by a process that randomly selects a string of symbols of length, ''L'', from a set of ''N'' possible symbols, the number of possible passwords can be found by raising the number of symbols to the power ''L'', i.e. ''N''<sup>''L''</sup>. Increasing either ''L'' or ''N'' will strengthen the generated password. The strength of a random password as measured by the [[information entropy]] is just the [[binary logarithm|base-2 logarithm]] or log<sub>2</sub> of the number of possible passwords, assuming each symbol in the password is produced independently. Thus a random password's information entropy, ''H'', is given by the formula:
{{align|center|
<math>H = \log_2 N^L = L\log_2 N = L {\log N \over \log 2}</math>
}}
where ''N'' is the number of possible symbols and ''L'' is the number of symbols in the password. ''H'' is measured in [[bit]]s.<ref name=NIST/><ref>Schneier, B: ''Applied Cryptography'', 2e, page 233 ff. John Wiley and Sons.</ref> In the last expression, ''log'' can be to any [[Base (exponentiation)|base]].
:{| class="wikitable" style="text-align: right;"
|+ Entropy per symbol for different symbol sets
! Symbol set || Symbol count ''N'' || Entropy per symbol ''H''
|-
| align=left|[[Arabic numerals]] (0–9) (e.g. [[Personal identification number|PIN]]) || 10 || {{Rnd|3.3219280948874|3}} bits
|-
| align=left|[[hexadecimal]] numerals (0–9, A–F) (e.g. [[Wired Equivalent Privacy|WEP]] keys) || 16 || 4.000 bits
|-
| align=left|[[Case sensitivity|Case insensitive]] [[Latin alphabet]] (a–z or A–Z) || 26 || {{Rnd|4.7004397181411|3}} bits
|-
| align=left|Case insensitive [[alphanumeric]] (a–z or A–Z, 0–9) || 36 || {{Rnd|5.1699250014423|3}} bits
|-
| align=left|[[Case sensitivity|Case sensitive]] Latin alphabet (a–z, A–Z) || 52 || {{Rnd|5.7004397181411|3}} bits
|-
| align=left|Case sensitive alphanumeric (a–z, A–Z, 0–9) || 62 || {{Rnd|5.9541963103869|3}} bits
|-
| align=left|All [[Printable characters|ASCII printable characters]] except space || 94 || {{Rnd|6.55458885|3}} bits
|-
| align=left|All [[Latin-1 Supplement|Latin-1 Supplement characters]] || 94 || {{Rnd|6.55458885|3}} bits
|-
| align=left|All [[Printable characters|ASCII printable characters]] || 95 || {{Rnd|6.5698556083309|3}} bits
|-
| align=left|All [[Extended ASCII|extended ASCII printable characters]] || 218 || {{Rnd|7.7681843247769|3}} bits
|-
| align=left|[[Binary number|Binary]] (0–255 or 8 [[bit]]s or 1 [[byte]]) || 256 || {{Rnd|8|3}} bits
|-
| align=left|[[Diceware]] word list || 7776 || {{Rnd|12.924812503606|3}} bits per word
|}
A [[binary number|binary]] [[byte]] is usually expressed using two hexadecimal characters.
To find the length, ''L,'' needed to achieve a desired strength ''H,'' with a password drawn randomly from a set of ''N'' symbols, one computes:
{{align|center|
<math>L = {H \over \log_2 N}</math>
}}
rounded up to the next largest [[natural number|whole number]].
The following table uses this formula to show the required lengths of truly randomly generated passwords to achieve desired password entropies for common symbol sets:
{| class="wikitable"
|+ Lengths ''L'' of truly randomly generated passwords required to achieve a desired password entropy ''H'' for symbol sets containing ''N'' symbols
|-
! rowspan=2|Desired password<br>entropy ''H'' !!rowspan=2| [[Arabic numerals|Arabic<br>numerals]]!!rowspan=2| [[Hexadecimal]] !! colspan=2|[[Case sensitivity|Case insensitive]] !! colspan=2|[[Case sensitivity|Case sensitive]] !! All ASCII !! All [[Extended ASCII|Extended<br>ASCII]] !! rowspan=2|[[Diceware]]<br>word list
|-
! [[Latin alphabet|Latin<br>alphabet]] !![[alphanumeric|alpha-<br>numeric]] !! Latin<br>alphabet !! alpha-<br>numeric !!colspan=2|[[printable characters]]
|-
| 8 bits (1 byte) || 3 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 1 word
|-
| 32 bits (4 bytes) || 10 || 8 || 7 || 7 || 6 || 6 || 5 || 5 || 3 words
|-
| 40 bits (5 bytes) || 13 || 10 || 9 || 8 || 8 || 7 || 7 || 6 || 4 words
|-
| 64 bits (8 bytes) || 20 || 16 || 14 || 13 || 12 || 11 || 10 || 9 || 5 words
|-
| 80 bits (10 bytes) || 25 || 20 || 18 || 16 || 15 || 14 || 13 || 11 || 7 words
|-
| 96 bits (12 bytes) || 29 || 24 || 21 || 19 || 17 || 17 || 15 || 13 || 8 words
|-
| 128 bits (16 bytes) || 39 || 32 || 28 || 25 || 23 || 22 || 20 || 17 || 10 words
|-
| 160 bits (20 bytes) || 49 || 40 || 35 || 31 || 29 || 27 || 25 || 21 || 13 words
|-
| 192 bits (24 bytes) || 58 || 48 || 41 || 38 || 34 || 33 || 30 || 25 || 15 words
|-
| 224 bits (28 bytes) || 68 || 56 || 48 || 44 || 40 || 38 || 35 || 29 || 18 words
|-
| 256 bits (32 bytes) || 78 || 64 || 55 || 50 || 45 || 43 || 39 || 33 || 20 words
|}
=== Human-generated passwords ===
People are notoriously poor at achieving sufficient entropy to produce satisfactory passwords. According to one study involving half a million users, the average password entropy was estimated at 40.54 bits.<ref>{{cite journal|last1=Florencio|first1=Dinei|last2=Herley|first2=Cormac|title=A Large-Scale Study of Web Password Habits|journal=Proceeds of the International World Wide Web Conference Committee|date=May 8, 2007|url=http://research.microsoft.com/pubs/74164/www2007.pdf|ref=ACM 978-1-59593-654-7/07/0005.|url-status=live|archiveurl=https://web.archive.org/web/20150327031521/http://research.microsoft.com/pubs/74164/www2007.pdf|archivedate=March 27, 2015}}</ref> Some stage magicians exploit this inability for amusement, in a minor way, by divining supposed random choices (of numbers, say) made by audience members.
Thus, in one analysis of over 3 million eight-character passwords, the letter "e" was used over 1.5 million times, while the letter "f" was used only 250,000 times. A [[uniform distribution (discrete)|uniform distribution]] would have had each character being used about 900,000 times. The most common number used is "1", whereas the most common letters are a, e, o, and r.<ref name=perfect />
Users rarely make full use of larger character sets in forming passwords. For example, hacking results obtained from a MySpace phishing scheme in 2006 revealed 34,000 passwords, of which only 8.3% used mixed case, numbers, and symbols.<ref name=myspace-passwords>{{cite news | url = http://archive.wired.com/politics/security/commentary/securitymatters/2006/12/72300?currentPage=all | title = MySpace Passwords aren't so Dumb | author = Bruce Schneier | publisher = Wired Magazine | accessdate = April 11, 2008 | date = December 14, 2006 | url-status = live | archiveurl = https://web.archive.org/web/20140521031354/http://archive.wired.com/politics/security/commentary/securitymatters/2006/12/72300?currentPage=all | archivedate = May 21, 2014 }}</ref>
The full strength associated with using the entire ASCII character set (numerals, mixed case letters and special characters) is only achieved if each possible password is equally likely. This seems to suggest that all passwords must contain characters from each of several character classes, perhaps upper and lower case letters, numbers, and non-alphanumeric characters. In fact, such a requirement is a pattern in password choice and can be expected to reduce an attacker's "work factor" (in Claude Shannon's terms). This is a reduction in password "strength". A better requirement would be to require a password NOT to contain any word in an online dictionary, or list of names, or any license plate pattern from any state (in the US) or country (as in the EU). If patterned choices are required, humans are likely to use them in predictable ways, such as capitalizing a letter, adding one or two numbers, and a special character. This predictability means that the increase in password strength is minor when compared to random passwords.
==== NIST Special Publication 800-63-2 ====
[[NIST]] Special Publication 800-63 of June 2004 (revision 2) suggested a scheme to approximate the entropy of human-generated passwords:<ref name=NIST>{{cite web | url = http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf | title = SP 800-63 – Electronic Authentication Guideline | publisher = NIST | accessdate = April 20, 2014 | url-status = dead | archiveurl = https://web.archive.org/web/20040712152833/http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf | archivedate = July 12, 2004 }} {{Webarchive|url=https://web.archive.org/web/20040712152833/http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf |date=July 12, 2004 }}</ref>
Using this scheme, an eight-character human-selected password without upper case characters and non-alphabetic characters OR with either but of the two character sets is estimated to have 18 bits of entropy. The NIST publication concedes that at the time of development, little information was available on the real world selection of passwords. Later research into human-selected password entropy using newly available real world data has demonstrated that the NIST scheme does not provide a valid metric for entropy estimation of human-selected passwords.<ref name=WeirEtAl>{{cite web | url = http://reusablesec.blogspot.com/2010/10/new-paper-on-password-security-metrics.html | title = Testing Metrics for Password Creation Policies by Attacking Large Sets of Revealed Passwords | format = PDF | author1 = Matt Weir | author2 = Susdhir Aggarwal | author3 = Michael Collins | author4 = Henry Stern | date = 7 October 2010 | accessdate = March 21, 2012 | url-status = live | archiveurl = https://web.archive.org/web/20120706124704/http://reusablesec.blogspot.com/2010/10/new-paper-on-password-security-metrics.html | archivedate = July 6, 2012 }}</ref> The June 2017 revision of SP 800-63 (Revision 3) drops this approach.<ref>{{cite web | url = https://pages.nist.gov/800-63-3 | title = SP 800-63-3 – Digital Identity Guidelines | format = PDF | publisher = NIST | date = June 2017 | accessdate = August 6, 2017 | url-status = live | archiveurl = https://web.archive.org/web/20170806142240/https://pages.nist.gov/800-63-3/ | archivedate = August 6, 2017 }}</ref>
===Usability and implementation considerations===
Because national keyboard implementations vary, not all 94 ASCII printable characters can be used everywhere.<!-- The situation of assorted 7-bit ASCII character sets is long and sordid, quite indeterminate, and basically a dog's breakfast. The advent of Unicode / UCS has at least 'settled' what the lowest 128 characters are, though this is not exactly what most of the prior character sets had. --> This can present a problem to an international traveler who wished to log into remote system using a keyboard on a local computer. ''See'' [[List of Latin-script keyboard layouts|''keyboard layout'']]. Many hand held devices, such as [[tablet computer]]s and [[smart phone]]s, require complex shift sequences or keyboard app swapping to enter special characters.
Authentication programs vary in which characters they allow in passwords. Some do not recognize case differences (e.g., the upper-case "E" is considered equivalent to the lower-case "e"), others prohibit some of the other symbols. In the past few decades, systems have permitted more characters in passwords, but limitations still exist. Systems also vary in the maximum length of passwords allowed.
As a practical matter, passwords must be both reasonable and functional for the end user as well as strong enough for the intended purpose. Passwords that are too difficult to remember may be forgotten and so are more likely to be written on paper, which some consider a security risk.<ref name=Gartner>{{cite web | url = http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf | title = Passwords are Near the Breaking Point | publisher = Gartner | author = A. Allan | accessdate = April 10, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20060427032938/http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf | archivedate = April 27, 2006 }} {{Webarchive|url=https://web.archive.org/web/20060427032938/http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf |date=April 27, 2006 }}</ref> In contrast, others argue that forcing users to remember passwords without assistance can only accommodate weak passwords, and thus poses a greater security risk. According to [[Bruce Schneier]], most people are good at securing their wallets or purses, which is a "great place" to store a written password.<ref name=Schneier-writedown>{{cite web | url = http://www.schneier.com/blog/archives/2005/06/write_down_your.html | title = Schneier on Security | work = Write Down Your Password | author = Bruce Schneier | accessdate = April 10, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080413032636/http://www.schneier.com/blog/archives/2005/06/write_down_your.html | archivedate = April 13, 2008 }}</ref>
== Required bits of entropy ==
The minimum number of bits of entropy needed for a password depends on the [[threat model]] for the given application. If [[key stretching]] is not used, passwords with more entropy are needed. RFC 4086, "Randomness Requirements for Security", presents some example threat models and how to calculate the entropy desired for each one.<ref>{{cite IETF | title = Randomness Requirements for Security | rfc = 4086}}</ref> Their answers vary between 29 bits of entropy needed if only online attacks are expected, and up to 96 bits of entropy needed for important cryptographic keys used in applications like encryption where the password or key needs to be secure for a long period of time and stretching isn't applicable. A 2010 [[Georgia Tech Research Institute]] study based on unstretched keys recommended a 12-character random password, but as a minimum length requirement.<ref name="gtri">{{cite web|url=http://www.gtri.gatech.edu/casestudy/Teraflop-Troubles-Power-Graphics-Processing-Units-GPUs-Password-Security-System|title=Teraflop Troubles: The Power of Graphics Processing Units May Threaten the World's Password Security System|publisher=[[Georgia Tech Research Institute]]|accessdate=2010-11-07|url-status=live|archiveurl=https://web.archive.org/web/20101230063449/http://www.gtri.gatech.edu/casestudy/Teraflop-Troubles-Power-Graphics-Processing-Units-GPUs-Password-Security-System|archivedate=2010-12-30}}</ref><ref name="msnbc">{{cite news|url=http://www.nbcnews.com/id/38771772|title=Want to deter hackers? Make your password longer|publisher=[[NBC News]]|date=2010-08-19|accessdate=2010-11-07}}</ref>. Keep in mind that computing power continues to grow, so to prevent offline attacks the required bits of entropy should also increase over time.
The upper end is related to the stringent requirements of choosing keys used in encryption. In 1999, [[EFF DES cracker|an Electronic Frontier Foundation project]] broke 56-bit [[Data Encryption Standard|DES]] encryption in less than a day using specially designed hardware.<ref name=EFF-deep-crack>{{cite web | url = http://w2.eff.org/Privacy/Crypto/Crypto_misc/DESCracker/HTML/19980716_eff_descracker_pressrel.html | title = EFF DES Cracker machine brings honesty to crypto debate | publisher = EFF | accessdate = March 27, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20100101001853/http://w2.eff.org/Privacy/Crypto/Crypto_misc/DESCracker/HTML/19980716_eff_descracker_pressrel.html | archivedate = January 1, 2010 }}</ref> In 2002, ''[[distributed.net]]'' cracked a 64-bit key in 4 years, 9 months, and 23 days.<ref name=distributed>{{cite web | url = http://stats.distributed.net/projects.php?project_id=5 | title = 64-bit key project status | publisher = Distributed.net | accessdate = March 27, 2008 | archive-url = https://web.archive.org/web/20130910051812/http://stats.distributed.net/projects.php?project_id=5 | archive-date = September 10, 2013 | url-status = dead }}</ref> As of October 12, 2011, ''distributed.net'' estimates that cracking a 72-bit key using current hardware will take about 45,579 days or 124.8 years.<ref name=distributed-72>{{cite web | url = http://stats.distributed.net/projects.php?project_id=8 | title = 72-bit key project status | publisher = Distributed.net | accessdate = October 12, 2011 }}</ref> Due to currently understood limitations from fundamental physics, there is no expectation that any [[digital computer]] (or combination) will be capable of breaking 256-bit encryption via a brute-force attack.<ref name=schneier-cyptogram>{{cite web | url = http://www.schneier.com/crypto-gram-9902.html | title = Snakeoil: Warning Sign #5: Ridiculous key lengths | author = Bruce Schneier | accessdate = March 27, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080418225248/http://www.schneier.com/crypto-gram-9902.html | archivedate = April 18, 2008 }}</ref> Whether or not [[quantum computers]] will be able to do so in practice is still unknown, though theoretical analysis suggests such possibilities.<ref>{{cite web |url=https://stackoverflow.com/questions/2768807/quantum-computing-and-encryption-breaking |title=Quantum Computing and Encryption Breaking |publisher=Stack Overflow |date=2011-05-27 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130521043721/http://stackoverflow.com/questions/2768807/quantum-computing-and-encryption-breaking |archivedate=2013-05-21 }}</ref>
== Guidelines for strong passwords ==
=== Common guidelines ===
Guidelines for choosing good passwords are typically designed to make passwords harder to discover by intelligent guessing. Common guidelines advocated by proponents of software system security include:<ref>Microsoft Corporation, [http://www.microsoft.com/protect/yourself/password/create.mspx Strong passwords: How to create and use them] {{webarchive|url=https://web.archive.org/web/20080101132156/http://www.microsoft.com/protect/yourself/password/create.mspx |date=2008-01-01 }}</ref><ref name="schneier07">Bruce Schneier, [http://www.schneier.com/blog/archives/2007/01/choosing_secure.html Choosing Secure Passwords] {{webarchive|url=https://web.archive.org/web/20080223002450/http://www.schneier.com/blog/archives/2007/01/choosing_secure.html |date=2008-02-23 }}</ref><ref>Google, Inc., [https://www.google.com/accounts/PasswordHelp How safe is your password?] {{webarchive|url=https://web.archive.org/web/20080222225549/https://www.google.com/accounts/PasswordHelp |date=2008-02-22 }}</ref><ref name="UMD01">University of Maryland, [http://www.cs.umd.edu/faq/Passwords.shtml Choosing a Good Password] {{webarchive|url=https://web.archive.org/web/20140614022254/http://www.cs.umd.edu/faq/Passwords.shtml |date=2014-06-14 }}</ref><ref name="Bidwell000">{{cite book
| first = Teri
| last = Bidwell
| title = Hack Proofing Your Identity in the Information Age
| url = https://archive.org/details/hackproofingyour0000bidw
| url-access = registration
| publisher = Syngress Publishing
| year = 2002
| isbn = 978-1-931836-51-7
}}</ref>
* Use a minimum password length of 10 or more characters if permitted.
* Include lowercase and uppercase alphabetic characters, numbers and symbols if permitted.
* Generate passwords randomly where feasible.
* Avoid using the same password twice (e.g., across multiple user accounts and/or software systems).
* Avoid character repetition, keyboard patterns, dictionary words, letter or number sequences.
* Avoid using information that is or might become publicly associated with the user or the account, such as username, ancestors' names or dates.
* Avoid using information that the user's colleagues and/or acquaintances might know to be associated with the user, such as relative or pet names, romantic links (current or past) and biographical information (e.g., ID numbers, ancestors' names or dates)..
* Do not use passwords which consist wholly of any simple combination of the aforementioned weak components.
Some guidelines advise against writing passwords down, while others, noting the large numbers of password protected systems users must access, encourage writing down passwords as long as the written password lists are kept in a safe place, not attached to a monitor or in an unlocked desk drawer.<ref name="schneier.com">{{cite web|url=http://www.schneier.com/blog/archives/2005/06/write_down_your.html|title=Write Down Your Password - Schneier on Security|website=www.schneier.com|url-status=live|archiveurl=https://web.archive.org/web/20080413032636/http://www.schneier.com/blog/archives/2005/06/write_down_your.html|archivedate=2008-04-13}}</ref> Use of a [[password manager]] is recommended by the NCSC.<ref name="National Cyber Security Centre">{{cite web|url=https://www.ncsc.gov.uk/blog-post/what-does-ncsc-think-password-managers|title=What does the NCSC think of password managers?|website=www.ncsc.gov.uk|url-status=live|archiveurl=https://web.archive.org/web/20190305053922/https://www.ncsc.gov.uk/blog-post/what-does-ncsc-think-password-managers|archivedate=2019-03-05}}</ref>
The possible character set for a password can be constrained by different web sites or by the range of keyboards on which the password must be entered.<ref>E.g., for a keyboard with only 17 nonalphanumeric characters, see one for a BlackBerry phone in [http://www.hardwaresecrets.com/fullimage.php?image=18705 an enlarged image] {{webarchive|url=https://web.archive.org/web/20110406121058/http://www.hardwaresecrets.com/fullimage.php?image=18705 |date=2011-04-06 }} in support of [http://www.hardwaresecrets.com/article/795/2 Sandy Berger, ''BlackBerry Tour 9630 (Verizon) Cell Phone Review'', in Hardware Secrets (August 31, 2009)] {{webarchive|url=https://web.archive.org/web/20110406121111/http://www.hardwaresecrets.com/article/795/2 |date=April 6, 2011 }}, both as accessed January 19, 2010. That some websites don’t allow nonalphanumerics is indicated by [http://forums.theregister.co.uk/post/527230 Kanhef, ''Idiots, For Different Reasons'' (June 30, 2009) (topic post)] {{webarchive|url=https://web.archive.org/web/20110406121058/http://forums.theregister.co.uk/post/527230 |date=April 6, 2011 }}, as accessed January 20, 2010.</ref>
=== Examples of weak passwords ===
{{See also|Password cracking|List of the most common passwords}}
As with any security measure, passwords vary in effectiveness (i.e., strength); some are weaker than others. For example, the difference in weakness between a dictionary word and a word with obfuscation (i.e., letters in the password are substituted by, say, numbers — a common approach) may cost a password cracking device a few more seconds; this adds little strength. The examples below illustrate various ways weak passwords might be constructed, all of which are based on simple patterns which result in extremely low entropy, allowing them to be tested automatically at high speeds.:<ref name=perfect>{{cite book
| last = Burnett
| first = Mark
| editor = Kleiman, Dave
| title = Perfect Passwords
| publisher = Syngress Publishing
| year = 2006
| location = Rockland, Massachusetts
| isbn = 978-1-59749-041-2
| page = 181
| editor-link = Dave Kleiman }}</ref>
* [[Default password]]s (as supplied by the system vendor and meant to be changed at installation time): ''password'', ''default'', ''admin'', ''guest'', etc. Lists of default passwords are widely available on the internet.
* Dictionary words: ''chameleon'', ''RedSox'', ''sandbags'', ''bunnyhop!'', ''IntenseCrabtree'', etc., including words in non-English dictionaries.
* Words with numbers appended: ''password1'', ''deer2000'', ''john1234'', etc., can be easily tested automatically with little lost time.
* Words with simple obfuscation: ''p@ssw0rd'', ''l33th4x0r'', ''g0ldf1sh'', etc., can be tested automatically with little additional effort. For example, a domain administrator password compromised in the [[DigiNotar]] attack was reportedly ''Pr0d@dm1n.''<ref>{{cite web |url=http://thehackernews.com/2011/09/comodohacker-responsible-for-diginotar.html |title=ComodoHacker responsible for DigiNotar Attack – Hacking News |publisher=Thehackernews.com |date=2011-09-06 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130517204022/http://thehackernews.com/2011/09/comodohacker-responsible-for-diginotar.html |archivedate=2013-05-17 }}</ref>
* Doubled words: ''crabcrab'', ''stopstop'', ''treetree'', ''passpass'', etc.
* Common sequences from a keyboard row: ''qwerty'', ''123456'', ''asdfgh'', ''fred'', etc.
* Numeric sequences based on well known numbers such as 911 <sup>([[9-1-1]], [[September 11 attacks|9/11]])</sup>, 314159... <sup>([[pi]])</sup>, 27182... <sup>([[E (mathematical constant)|e]])</sup>, 112 <sup>([[112 (emergency telephone number)|1-1-2]])</sup>, etc.
* Identifiers: ''jsmith123'', ''1/1/1970'', ''555–1234'', one's username, etc.
* Weak passwords in non-English languages, such as contraseña (Spanish) and ji32k7au4a83 (bopomofo keyboard encoding from Chinese)<ref>{{cite news|url=https://www.iheart.com/content/2019-03-08-heres-why-ji32k7au4a83-is-a-surprisingly-common-password/|title=Here's Why 'ji32k7au4a83' Is A Surprisingly Common Password|accessdate=25 March 2019|date=8 March 2019|author=Dave Basner}}</ref>
* Anything personally related to an individual: license plate number, Social Security number, current or past telephone numbers, student ID, current address, previous addresses, birthday, sports team, relative's or pet's names/nicknames/birthdays/initials, etc., can easily be tested automatically after a simple investigation of a person's details.
* Dates: dates follow a pattern and make your password weak.
There are many other ways a password can be weak,<ref>Bidwell, p. 87</ref> corresponding to the strengths of various attack schemes; the core principle is that a password should have high entropy (usually taken to be equivalent to randomness) and ''not'' be readily derivable by any "clever" pattern, nor should passwords be mixed with information identifying the user. On-line services often provide a restore password function that a hacker can figure out and by doing so bypass a password. Choosing hard-to-guess restore password questions can further secure the password.<ref>{{cite web |url=http://www.lockdown.co.uk/?pg=password_guide |title=Guidelines for choosing a good password |publisher=Lockdown.co.uk |date=2009-07-10 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130326163635/http://www.lockdown.co.uk/?pg=password_guide |archivedate=2013-03-26 }}</ref>
=== Rethinking password change guidelines ===
{{outdated section|reason="standards of today" and processor speeds have both changed significantly since 2012|date=September 2017}}
In December, 2012, [[William Cheswick]] wrote an article published in ACM magazine that included the mathematical possibilities of how easy or difficult it would be to break passwords that are constructed using the commonly recommended, and sometimes followed, standards of today. In his article, William showed that a standard eight character alpha-numeric password could withstand a brute force attack of ten million attempts per second, and remain unbroken for 252 days. Ten million attempts each second is the acceptable rate of attempts using a multi-core system that most users would have access to. A much greater degree of attempts, at the rate of 7 billion per second, could also be achieved when using modern GPUs. At this rate, the same 8 character full alpha-numeric password could be broken in approximately 0.36 days (i.e. 9 hours). Increasing the password complexity to a 13 character full alpha-numeric password increases the time needed to crack it to more than 900,000 years at 7 billion attempts per second. This is, of course, assuming the password does not use a common word that a dictionary attack could break much sooner. Using a password of this strength reduces the obligation to change it as often as many organizations require, including the U.S. Government, as it could not be reasonably broken in such a short period of time.<ref>{{Cite web|url=https://queue.acm.org/detail.cfm?id=2422416|title=HTML version - Rethinking Passwords|last=William|first=Cheswick|date=2012-12-31|website=[[Association for Computing Machinery]] (ACM)|url-status=live|archive-url=https://archive.today/20191103172648/https://queue.acm.org/detail.cfm?id=2422416|archive-date=2019-11-03|access-date=2019-11-03}}</ref><ref>{{Cite journal|url=https://dl.acm.org/citation.cfm?doid=2405116.2422416|title=ACM Digital Library - Rethinking Passwords|last=William|first=Cheswick|date=2012-12-31|journal=Queue|url-status=live|archive-url=https://archive.today/20191103173450/https://dl.acm.org/citation.cfm?doid=2405116.2422416|archive-date=2019-11-03|access-date=2019-11-03}}</ref>
== Password policy ==
{{Main|Password policy}}
A password policy is a guide to choosing satisfactory passwords. It is intended to:
* assist users in choosing strong passwords
* ensure the passwords are suited to the target population
* provide recommendations for users with regard to the handling of their passwords
* impose a requirement to change any password which has been lost or compromised, and perhaps that no password be used longer than a limited time
* (in some cases) prescribe the pattern of characters which passwords must contain
* use a [[Blacklist (computing)#Usernames and passwords|password blacklist]] to block the usage of weak or easily guessed passwords.
For example, password expiration is often covered by password policies. Password expiration serves two purposes:<ref name=LOPSA>{{cite web | url = http://lopsa.org/node/295 | title = In Defense of Password Expiration | publisher = League of Professional Systems Administrators | accessdate = April 14, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20081012063918/http://lopsa.org/node/295 | archivedate = October 12, 2008 }} {{Webarchive|url=https://web.archive.org/web/20081012063918/http://lopsa.org/node/295 |date=October 12, 2008 }}</ref>
* If the time to crack a password is estimated to be 100 days, password expiration times fewer than 100 days may help ensure insufficient time for an attacker.
* If a password has been compromised, requiring it to be changed regularly should limit the access time for the attacker.
However, password expiration has its drawbacks:<ref name=WEB>{{cite web
|url = https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry
|title = The problems with forcing regular password expiry
|date = 15 April 2016
|work = IA Matters
|publisher = CESG: the Information Security Arm of GCHQ
|accessdate = 5 Aug 2016
|url-status = dead
|archiveurl = https://web.archive.org/web/20160817223701/https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry
|archivedate = 17 August 2016
}} {{Webarchive|url=https://web.archive.org/web/20160817223701/https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry |date=17 August 2016 }}</ref><ref name=CERIAS>{{cite web | url = http://www.cerias.purdue.edu/weblogs/spaf/general/post-30/ | title = Security Myths and Passwords | publisher = The Center for Education and Research in Information Assurance and Security | author = Eugene Spafford | accessdate = April 14, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080411123000/http://www.cerias.purdue.edu/weblogs/spaf/general/post-30/ | archivedate = April 11, 2008 }}</ref>
* Asking users to change passwords frequently encourages simple, weak passwords.
* If one has a truly strong password, there is little point in changing it. Changing passwords which are already strong introduces risk that the new password may be less strong.
* A compromised password is likely to be used immediately by an attacker to install a [[backdoor (computing)|backdoor]], often via [[privilege escalation]]. Once this is accomplished, password changes won't prevent future attacker access.
* Moving from never changing one's password to changing the password on every authenticate attempt (pass ''or'' fail attempts) only doubles the number of attempts the attacker must make on average before guessing the password in a brute force attack. One gains ''much'' more security by just increasing the password length by one character than changing the password on every use.
=== Creating and handling passwords ===
The hardest passwords to crack, for a given length and character set, are random character strings; if long enough they resist brute force attacks (because there are many characters) and guessing attacks (due to high entropy). However, such passwords are typically the hardest to remember. The imposition of a requirement for such passwords in a password policy may encourage users to write them down, store them in [[mobile device]]s, or share them with others as a safeguard against memory failure. While some people consider each of these user resorts to increase security risks, others suggest the absurdity of expecting users to remember distinct complex passwords for each of the dozens of accounts they access. For example, in 2005, security expert [[Bruce Schneier]] recommended writing down one's password:
{{Quote|quote=Simply, people can no longer remember passwords good enough to reliably defend against dictionary attacks, and are much more secure if they choose a password too complicated to remember and then write it down. We're all good at securing small pieces of paper. I recommend that people write their passwords down on a small piece of paper, and keep it with their other valuable small pieces of paper: in their wallet.<ref name="schneier.com"/>}}
The following measures may increase acceptance of strong password requirements, if carefully used:
* a training program. Also, updated training for those who fail to follow the password policy (lost passwords, inadequate passwords, etc.).
* rewarding strong password users by reducing the rate, or eliminating altogether, the need for password changes (password expiration). The strength of user-chosen passwords can be estimated by automatic programs which inspect and evaluate proposed passwords, when setting or changing a password.
* displaying to each user the last login date and time in the hope that the user may notice unauthorized access, suggesting a compromised password.
* allowing users to reset their passwords via an automatic system, which reduces help desk call volume. However, some systems are themselves insecure; for instance, easily guessed or researched answers to password reset questions bypass the advantages of a strong password system.
* using randomly generated passwords that do not allow users to choose their own passwords, or at least offering randomly generated passwords as an option.
=== Memory techniques ===
Password policies sometimes suggest [[Memory improvement|memory technique]]s to assist remembering passwords:
* mnemonic passwords: Some users develop [[mnemonic]] phrases and use them to generate more or less random passwords which are nevertheless relatively easy for the user to remember. For instance, the first letter of each word in a memorable phrase. Research estimates the password strength of such passwords to be about 3.7 bits per character, compared to the 6.6 bits for random passwords from ASCII printable characters.<ref>{{cite conference |url=https://www.internetsociety.org/sites/default/files/ndss2017_03A-4_Kiesel_paper.pdf |title=A Large-scale Analysis of the Mnemonic Password Advice |author=Johannes Kiesel |author2=Benno Stein |author3=Stefan Lucks |year=2017 |publisher=Internet Society |booktitle=Proceedings of the 24th Annual Network and Distributed System Security Symposium (NDSS 17) |url-status=dead |archiveurl=https://web.archive.org/web/20170330174637/https://www.internetsociety.org/sites/default/files/ndss2017_03A-4_Kiesel_paper.pdf |archivedate=2017-03-30 |conference= |access-date=2017-03-30 }}</ref> Silly ones are possibly more memorable.<ref>[http://uc.iupui.edu/uploadedFiles/Learning_Center_Site/Mnemonic%20Devices.pdf ''Mnemonic Devices'' (Indianapolis, Ind.: Bepko Learning Ctr., University College)], as accessed January 19, 2010 {{webarchive |url=https://web.archive.org/web/20100610000727/http://uc.iupui.edu/uploadedFiles/Learning_Center_Site/Mnemonic%20Devices.pdf |date=June 10, 2010 }}</ref> Another way to make random-appearing passwords more memorable is to use random words (see [[diceware]]) or syllables instead of randomly chosen letters.
* after-the-fact mnemonics: After the password has been established, invent a mnemonic that fits.<ref>[http://changingminds.org/techniques/memory/remembering_passwords.htm Remembering Passwords (ChangingMinds.org)] {{webarchive|url=http://archive.wikiwix.com/cache/20100121181700/http://changingminds.org/techniques/memory/remembering_passwords.htm |date=2010-01-21 }}, as accessed January 19, 2010</ref> It does not have to be reasonable or sensible, only memorable. This allows passwords to be random.
* visual representations of passwords: a password is memorized based on a sequence of keys pressed, not the values of the keys themselves, e.g. a sequence !qAsdE#2 represents a [[rhomboid]] on a US keyboard. The method to produce such passwords is called PsychoPass;<ref name=":10">{{cite journal | last1 = Cipresso | first1 = P | last2 = Gaggioli | first2 = A | last3 = Serino | first3 = S | last4 = Cipresso | first4 = S | last5 = Riva | first5 = G | year = 2012 | title = How to Create Memorizable and Strong Passwords | journal = J Med Internet Res | volume = 14 | issue = 1| page = e10 | doi = 10.2196/jmir.1906 | pmid = 22233980 | pmc=3846346}}</ref> moreover, such spatially patterned passwords can be improved.<ref>{{cite journal | pmc = 3742392 | pmid=23942458 | doi=10.2196/jmir.2366 | volume=15 | issue=8 | title=Security analysis and improvements to the PsychoPass method. | year=2013 | journal=J Med Internet Res | page=e161 | last1 = Brumen | first1 = B | last2 = Heričko | first2 = M | last3 = Rozman | first3 = I | last4 = Hölbl | first4 = M}}</ref><ref>{{cite web|url=https://blogs.dropbox.com/tech/2012/04/zxcvbn-realistic-password-strength-estimation/|title=zxcvbn: realistic password strength estimation|website=Dropbox Tech Blog|url-status=live|archiveurl=https://web.archive.org/web/20150405131234/https://blogs.dropbox.com/tech/2012/04/zxcvbn-realistic-password-strength-estimation/|archivedate=2015-04-05}}</ref>
* password patterns: Any pattern in a password makes guessing (automated or not) easier and reduces an attacker's work factor.
** For example, passwords of the following case-insensitive form: consonant, vowel, consonant, consonant, vowel, consonant, number, number (for example ''pinray45'') are called Environ passwords.<ref>{{cite book
| first = Ross
| last = Anderson
| year = 2001
| title = Security engineering: A guide to building dependable distributed systems
| url = https://archive.org/details/securityengineer00ande
| url-access = registration
| publisher = John Wiley & Sons, Inc.
| isbn = 978-0470068526
}}</ref> The pattern of alternating vowel and consonant characters was intended to make passwords more likely to be pronounceable and thus more memorable. Unfortunately, such patterns severely reduce the password's [[information entropy]], making [[brute force attack|brute force]] password attacks considerably more efficient. In the UK in October 2005, employees of [[Departments of the United Kingdom Government|the British government]] were advised to use passwords in this form.{{Citation needed|date=January 2012}}
=== Protecting passwords ===
{{how-to|date=March 2013}}
Computer users are generally advised to "never write down a password anywhere, no matter what" and "never use the same password for more than one account."<ref>{{Cite news|url=https://www.telegraph.co.uk/finance/personalfinance/bank-accounts/12149022/Use-the-same-password-for-everything-Youre-fuelling-a-surge-in-current-account-fraud.html|title=Use the same password for everything? You're fuelling a surge in current account fraud|last=Morley|first=Katie|date=2016-02-10|work=Telegraph.co.uk|access-date=2017-05-22|language=en|url-status=live|archiveurl=https://web.archive.org/web/20170513044756/http://www.telegraph.co.uk/finance/personalfinance/bank-accounts/12149022/Use-the-same-password-for-everything-Youre-fuelling-a-surge-in-current-account-fraud.html|archivedate=2017-05-13}}</ref> However, an ordinary computer user may have dozens of password-protected accounts. Users with multiple accounts needing passwords often give up and use the same password for every account. When varied password complexity requirements prevent use of the same (memorable) scheme for producing high-strength passwords, oversimplified passwords will often be created to satisfy irritating and conflicting password requirements.
A [[Microsoft]] expert was quoted as saying at a 2005 security conference: "I claim that password policy should say you should write down your password. I have 68 different passwords. If I am not allowed to write any of them down, guess what I am going to do? I am going to use the same password on every one of them."<ref>[http://www.cnet.com/news/microsoft-security-guru-jot-down-your-passwords/ Microsoft security guru: Jot down your passwords] {{webarchive|url=https://web.archive.org/web/20160205211730/http://www.cnet.com/news/microsoft-security-guru-jot-down-your-passwords/ |date=2016-02-05 }}, ''c\net'' Retrieved on 2016-02-02</ref>
Software is available for popular hand-held computers that can store passwords for numerous accounts in encrypted form. Passwords can be [[Encryption|encrypted]] by hand on paper and remember the encryption method and key.<ref>Simple methods (e.g., [[Rot13|ROT13]] and [[Cipher#Historical ciphers|some other old ciphers]]) may suffice; for more sophisticated hand-methods see [http://www.schneier.com/solitaire.html Bruce Schneier, The Solitaire Encryption Algorithm (May 26, 1999) (ver. 1.2)] {{webarchive|url=https://web.archive.org/web/20151113061059/https://www.schneier.com/solitaire.html |date=November 13, 2015 }}, as accessed January 19, 2010, and [http://www.ibm.com/developerworks/power/library/pa-bigiron5/ Sam Siewert, ''Big Iron Lessons, Part 5: Introduction to Cryptography, From Egypt Through Enigma'' (IBM, July 26, 2005)] {{webarchive|url=https://web.archive.org/web/20100803202847/http://www.ibm.com/developerworks/power/library/pa-bigiron5/ |date=August 3, 2010 }}, as accessed January 19, 2010.</ref>
A single "master" password can be used with software to generate a new password for each application, based on the master password and the application's name. This approach is used by Stanford's PwdHash,<ref>{{cite conference |url=http://crypto.stanford.edu/PwdHash/pwdhash.pdf |title=Stronger Password Authentication Using Browser Extensions |author=Blake Ross |author2=Collin Jackson |author3=Nicholas Miyake |author4=Dan Boneh |author5=John C. Mitchell |year=2005 |publisher=USENIX |booktitle=Proceedings of the 14th Usenix Security Symposium |pages=17–32 |url-status=live |archiveurl=http://archive.wikiwix.com/cache/20120429031741/http://crypto.stanford.edu/PwdHash/pwdhash.pdf |archivedate=2012-04-29 }}</ref> Princeton's Password Multiplier,<ref>{{cite conference |url=http://www.cs.utexas.edu/~bwaters/publications/papers/www2005.pdf |title=A Convenient Method for Securely Managing Passwords |author=J. Alex Halderman |author2=Brent Waters |author3=Edward W. Felten |year=2005 |publisher=ACM |pages=1–9 |url-status=live |archiveurl=https://web.archive.org/web/20160115062049/http://www.cs.utexas.edu/~bwaters/publications/papers/www2005.pdf |archivedate=2016-01-15 |author-link=J. Alex Halderman }}</ref> and other stateless password managers. In this approach, protecting the master password is essential, as all passwords are compromised if the master password is revealed, and lost if the master password is forgotten or misplaced.
==Password managers==
{{Main|Password manager}}
A reasonable compromise for using large numbers of passwords is to record them in a password manager program, which include stand-alone applications, web browser extensions, or a manager built into the operating system. A password manager allows the user to use hundreds of different passwords, and only have to remember a single password, the one which opens the encrypted password database. Needless to say, this single password should be strong and well-protected (not recorded anywhere). Most password managers can automatically create strong passwords using a cryptographically secure [[random password generator]], as well as calculating the entropy of the generated password. A good password manager will provide resistance against attacks such as [[key logging]], clipboard logging and various other memory spying techniques.
==See also==
* [[Keystroke logging]]
* [[Passphrase]]
* [[Phishing]]
* [[Vulnerability (computing)]]
== References ==
{{Reflist|30em}}
== External links ==
* [http://tools.ietf.org/html/rfc4086 RFC 4086: Randomness Requirements for Security]
* [https://web.archive.org/web/20160416035311/http://www.architectingsecurity.com/2010/09/11/password-patterns/ Password Patterns:The next generation dictionary attacks]
{{DEFAULTSORT:Password Strength}}
[[Category:Cryptography]]
[[Category:Password authentication]]<noinclude>
<small>This page was moved from [[:en:Password strength]]. Its edit history can be viewed at [[Password strength/edithistory]]</small></noinclude>
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Nominada para su borrado, véase [[Wikipedia:Consultas de borrado/Password_strength]] mediante [[WP:Twinkle Lite|Twinkle Lite]]
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{{short description|Measure of the effectiveness of a password in resisting guessing and brute-force attacks}}
[[File:KeePass random password.png|thumb|400px|Options menu of the [[random password generation]] tool in [[KeePass]]. Enabling more character subsets raises the strength of generated passwords a small amount, whereas increasing their length raises the strength a large amount.]]
'''Password strength''' is a measure of the effectiveness of a [[password]] against guessing or [[brute-force attack]]s. In its usual form, it estimates how many trials an attacker who does not have direct access to the password would need, on average, to guess it correctly. The strength of a password is a function of length, complexity, and unpredictability.<ref name=CERT>{{cite web | url = http://www.us-cert.gov/cas/tips/ST04-002.html | title = Cyber Security Tip ST04-002 | work = Choosing and Protecting Passwords | publisher = US CERT | accessdate = June 20, 2009 | url-status = live | archiveurl = https://web.archive.org/web/20090707141138/http://www.us-cert.gov/cas/tips/ST04-002.html | archivedate = July 7, 2009 }}</ref>
Using strong passwords lowers overall [[risk]] of a security breach, but strong passwords do not replace the need for other effective [[security controls]]. The effectiveness of a password of a given strength is strongly determined by the design and implementation of the [[Authentication#Factors and identity|factors]] (knowledge, ownership, inherence). The first factor is the main focus in this article.
The rate at which an attacker can submit guessed passwords to the system is a key factor in determining system security. Some systems impose a time-out of several seconds after a small number (e.g. three) of failed password entry attempts. In the absence of other vulnerabilities, such systems can be effectively secured with relatively simple passwords. However, the system must store information about the user's passwords in some form and if that information is stolen, say by breaching system security, the user's passwords can be at risk.
In 2019, the United Kingdom's [[National Cyber Security Centre (United Kingdom)|NCSC]] analysed public databases of breached accounts to see which words, phrases and strings people used. Top of the list was 123456, appearing in more than 23 million passwords. The second-most popular string, 123456789, was not much harder to crack, while the top five included "[[qwerty]]", "password" and 1111111.<ref>{{Cite web|url=https://www.bbc.com/news/technology-47974583|title=Millions using 123456 as password, security study finds|date=21 April 2019|website=BBC News|access-date=24 April 2019}}</ref>
==Password creation==
Passwords are created either automatically (using randomizing equipment) or by a human; the latter case is more common. While the strength of randomly chosen passwords against a [[brute-force attack]] can be calculated with precision, determining the strength of human-generated passwords is challenging.
Typically, humans are asked to choose a password, sometimes guided by suggestions or restricted by a set of rules, when creating a new account for a computer system or Internet Web site. Only rough estimates of strength are possible, since humans tend to follow patterns in such tasks, and those patterns can usually assist an attacker.<ref name=NIST /> In addition, lists of commonly chosen passwords are widely available for use by password guessing programs. Such lists include the numerous online dictionaries for various human languages, breached databases of plaintext and hashed passwords from various online business and social accounts, along with other common passwords. All items in such lists are considered weak, as are passwords that are simple modifications of them. For some decades, investigations of passwords on multi-user computer systems have shown that 40% or more{{Citation needed|date=March 2016}} are readily guessed using only computer programs, and more can be found when information about a particular user is taken into account during the attack.
==Password guess validation==
Systems that use passwords for authentication must have some way to check any password entered to gain access. If the valid passwords are simply stored in a system file or database, an attacker who gains sufficient access to the system will obtain all user passwords, giving the attacker access to all accounts on the attacked system, and possibly other systems where users employ the same or similar passwords. One way to reduce this risk is to store only a [[cryptographic hash]] of each password instead of the password itself. Standard cryptographic hashes, such as the [[Secure Hash Algorithm (disambiguation)|Secure Hash Algorithm]] (SHA) series, are very hard to reverse, so an attacker who gets hold of the hash value cannot directly recover the password. However, knowledge of the hash value lets the attacker quickly test guesses offline. [[Password cracking]] programs are widely available that will test a large number of trial passwords against a purloined cryptographic hash.
Improvements in computing technology keep increasing the rate at which guessed passwords can be tested. For example, in 2010, the [[Georgia Tech Research Institute]] developed a method of using [[GPGPU]] to crack passwords much faster.<ref name="gtri"/> [[Elcomsoft]] invented the usage of common graphic cards for quicker password recovery in August 2007 and soon filed a corresponding patent in the US.<ref name="belenko">{{ cite patent | country=US | number=7929707 | status=patent | title=Use of graphics processors as parallel math co-processors for password recovery | assign1=Elcomsoft Co. Ltd. | inventor= Andrey V. Belenko | gdate=2011-04-19 }}</ref> By 2011, commercial products were available that claimed the ability to test up to 112,000 passwords per second on a standard desktop computer, using a high-end graphics processor for that time.<ref name=elcomsoft>[http://www.elcomsoft.com/eprb.html#gpu Elcomsoft.com] {{webarchive|url=https://web.archive.org/web/20061017173506/http://www.elcomsoft.com/eprb.html |date=2006-10-17 }}, [[ElcomSoft]] Password Recovery Speed table, [[NTLM]] passwords, [[Nvidia Tesla]] S1070 GPU, accessed 2011-02-01</ref> Such a device will crack a 6 letter single-case password in one day. Note that the work can be distributed over many computers for an additional speedup proportional to the number of available computers with comparable GPUs. Special [[key stretching]] hashes are available that take a relatively long time to compute, reducing the rate at which guessing can take place. Although it is considered best practice to use key stretching, many common systems do not.
Another situation where quick guessing is possible is when the password is used to form a [[cryptographic key]]. In such cases, an attacker can quickly check to see if a guessed password successfully decodes encrypted data. For example, one commercial product claims to test 103,000 [[Wi-Fi Protected Access|WPA]] PSK passwords per second.<ref>[http://www.elcomsoft.com/ewsa.html Elcomsoft Wireless Security Auditor, HD5970 GPU] {{webarchive|url=https://web.archive.org/web/20110219131825/http://www.elcomsoft.com/ewsa.html |date=2011-02-19 }} accessed 2011-02-11</ref>
If a password system only stores the hash of the password, an attacker can pre-compute hash values for common passwords variants and for all passwords shorter than a certain length, allowing very rapid recovery of the password once its hash is obtained. Very long lists of pre-computed password hashes can be efficiently stored using [[rainbow tables]]. This method of attack can be foiled by storing a random value, called a [[cryptographic salt]], along with the hash. The salt is combined with the password when computing the hash, so an attacker precomputing a rainbow table would have to store for each password its hash with every possible salt value. This becomes infeasible if the salt has a big enough range, say a 32-bit number. Unfortunately, many authentication systems in common use do not employ salts and rainbow tables are available on the Internet for several such systems.
===Entropy as a measure of password strength===
It is usual in the computer industry to specify password strength in terms of [[information entropy]] which is measured in [[bit]]s and is a concept from [[information theory]]. Instead of the number of guesses needed to find the password with certainty, the [[Binary logarithm|base-2 logarithm]] of that number is given, which is commonly referred to as the number of "entropy bits" in a password, though this is not exactly the same quantity as information entropy.<ref>{{cite conference |url=http://www.isiweb.ee.ethz.ch/archive/massey_pub/pdf/BI633.pdf |title=Guessing and entropy |author=James Massey |authorlink= |year=1994 |publisher=IEEE |pages=204|booktitle=Proceedings of 1994 IEEE International Symposium on Information Theory|author-link=James Massey }}</ref> A password with an entropy of 42 bits calculated in this way would be as strong as a string of 42 bits chosen randomly, for example by a [[fair coin]] toss. Put another way, a password with an entropy of 42 bits would require 2<sup>42</sup> (4,398,046,511,104) attempts to exhaust all possibilities during a [[brute force search]]. Thus, by increasing the entropy of the password by one bit the number of guesses required doubles, making an attacker's task twice as difficult. On average, an attacker will have to try half the possible number of passwords before finding the correct one.<ref name=NIST />
=== Random passwords ===
{{Main|Random password generator}}
Random passwords consist of a string of symbols of specified length taken from some set of symbols using a random selection process in which each symbol is equally likely to be selected. The symbols can be individual characters from a character set (e.g., the [[ASCII]] character set), syllables designed to form pronounceable passwords, or even words from a word list (thus forming a [[passphrase]]).
The strength of random passwords depends on the actual entropy of the underlying number generator; however, these are often not truly random, but pseudorandom. Many publicly available password generators use random number generators found in programming libraries that offer limited entropy. However most modern operating systems offer cryptographically strong random number generators that are suitable for password generation. It is also possible to use ordinary [[dice]] to generate random passwords. ''See [[Random password generator#Stronger methods|stronger methods]].'' Random password programs often have the ability to ensure that the resulting password complies with a local [[password policy]]; for instance, by always producing a mix of letters, numbers and special characters.
For passwords generated by a process that randomly selects a string of symbols of length, ''L'', from a set of ''N'' possible symbols, the number of possible passwords can be found by raising the number of symbols to the power ''L'', i.e. ''N''<sup>''L''</sup>. Increasing either ''L'' or ''N'' will strengthen the generated password. The strength of a random password as measured by the [[information entropy]] is just the [[binary logarithm|base-2 logarithm]] or log<sub>2</sub> of the number of possible passwords, assuming each symbol in the password is produced independently. Thus a random password's information entropy, ''H'', is given by the formula:
{{align|center|
<math>H = \log_2 N^L = L\log_2 N = L {\log N \over \log 2}</math>
}}
where ''N'' is the number of possible symbols and ''L'' is the number of symbols in the password. ''H'' is measured in [[bit]]s.<ref name=NIST/><ref>Schneier, B: ''Applied Cryptography'', 2e, page 233 ff. John Wiley and Sons.</ref> In the last expression, ''log'' can be to any [[Base (exponentiation)|base]].
:{| class="wikitable" style="text-align: right;"
|+ Entropy per symbol for different symbol sets
! Symbol set || Symbol count ''N'' || Entropy per symbol ''H''
|-
| align=left|[[Arabic numerals]] (0–9) (e.g. [[Personal identification number|PIN]]) || 10 || {{Rnd|3.3219280948874|3}} bits
|-
| align=left|[[hexadecimal]] numerals (0–9, A–F) (e.g. [[Wired Equivalent Privacy|WEP]] keys) || 16 || 4.000 bits
|-
| align=left|[[Case sensitivity|Case insensitive]] [[Latin alphabet]] (a–z or A–Z) || 26 || {{Rnd|4.7004397181411|3}} bits
|-
| align=left|Case insensitive [[alphanumeric]] (a–z or A–Z, 0–9) || 36 || {{Rnd|5.1699250014423|3}} bits
|-
| align=left|[[Case sensitivity|Case sensitive]] Latin alphabet (a–z, A–Z) || 52 || {{Rnd|5.7004397181411|3}} bits
|-
| align=left|Case sensitive alphanumeric (a–z, A–Z, 0–9) || 62 || {{Rnd|5.9541963103869|3}} bits
|-
| align=left|All [[Printable characters|ASCII printable characters]] except space || 94 || {{Rnd|6.55458885|3}} bits
|-
| align=left|All [[Latin-1 Supplement|Latin-1 Supplement characters]] || 94 || {{Rnd|6.55458885|3}} bits
|-
| align=left|All [[Printable characters|ASCII printable characters]] || 95 || {{Rnd|6.5698556083309|3}} bits
|-
| align=left|All [[Extended ASCII|extended ASCII printable characters]] || 218 || {{Rnd|7.7681843247769|3}} bits
|-
| align=left|[[Binary number|Binary]] (0–255 or 8 [[bit]]s or 1 [[byte]]) || 256 || {{Rnd|8|3}} bits
|-
| align=left|[[Diceware]] word list || 7776 || {{Rnd|12.924812503606|3}} bits per word
|}
A [[binary number|binary]] [[byte]] is usually expressed using two hexadecimal characters.
To find the length, ''L,'' needed to achieve a desired strength ''H,'' with a password drawn randomly from a set of ''N'' symbols, one computes:
{{align|center|
<math>L = {H \over \log_2 N}</math>
}}
rounded up to the next largest [[natural number|whole number]].
The following table uses this formula to show the required lengths of truly randomly generated passwords to achieve desired password entropies for common symbol sets:
{| class="wikitable"
|+ Lengths ''L'' of truly randomly generated passwords required to achieve a desired password entropy ''H'' for symbol sets containing ''N'' symbols
|-
! rowspan=2|Desired password<br>entropy ''H'' !!rowspan=2| [[Arabic numerals|Arabic<br>numerals]]!!rowspan=2| [[Hexadecimal]] !! colspan=2|[[Case sensitivity|Case insensitive]] !! colspan=2|[[Case sensitivity|Case sensitive]] !! All ASCII !! All [[Extended ASCII|Extended<br>ASCII]] !! rowspan=2|[[Diceware]]<br>word list
|-
! [[Latin alphabet|Latin<br>alphabet]] !![[alphanumeric|alpha-<br>numeric]] !! Latin<br>alphabet !! alpha-<br>numeric !!colspan=2|[[printable characters]]
|-
| 8 bits (1 byte) || 3 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 1 word
|-
| 32 bits (4 bytes) || 10 || 8 || 7 || 7 || 6 || 6 || 5 || 5 || 3 words
|-
| 40 bits (5 bytes) || 13 || 10 || 9 || 8 || 8 || 7 || 7 || 6 || 4 words
|-
| 64 bits (8 bytes) || 20 || 16 || 14 || 13 || 12 || 11 || 10 || 9 || 5 words
|-
| 80 bits (10 bytes) || 25 || 20 || 18 || 16 || 15 || 14 || 13 || 11 || 7 words
|-
| 96 bits (12 bytes) || 29 || 24 || 21 || 19 || 17 || 17 || 15 || 13 || 8 words
|-
| 128 bits (16 bytes) || 39 || 32 || 28 || 25 || 23 || 22 || 20 || 17 || 10 words
|-
| 160 bits (20 bytes) || 49 || 40 || 35 || 31 || 29 || 27 || 25 || 21 || 13 words
|-
| 192 bits (24 bytes) || 58 || 48 || 41 || 38 || 34 || 33 || 30 || 25 || 15 words
|-
| 224 bits (28 bytes) || 68 || 56 || 48 || 44 || 40 || 38 || 35 || 29 || 18 words
|-
| 256 bits (32 bytes) || 78 || 64 || 55 || 50 || 45 || 43 || 39 || 33 || 20 words
|}
=== Human-generated passwords ===
People are notoriously poor at achieving sufficient entropy to produce satisfactory passwords. According to one study involving half a million users, the average password entropy was estimated at 40.54 bits.<ref>{{cite journal|last1=Florencio|first1=Dinei|last2=Herley|first2=Cormac|title=A Large-Scale Study of Web Password Habits|journal=Proceeds of the International World Wide Web Conference Committee|date=May 8, 2007|url=http://research.microsoft.com/pubs/74164/www2007.pdf|ref=ACM 978-1-59593-654-7/07/0005.|url-status=live|archiveurl=https://web.archive.org/web/20150327031521/http://research.microsoft.com/pubs/74164/www2007.pdf|archivedate=March 27, 2015}}</ref> Some stage magicians exploit this inability for amusement, in a minor way, by divining supposed random choices (of numbers, say) made by audience members.
Thus, in one analysis of over 3 million eight-character passwords, the letter "e" was used over 1.5 million times, while the letter "f" was used only 250,000 times. A [[uniform distribution (discrete)|uniform distribution]] would have had each character being used about 900,000 times. The most common number used is "1", whereas the most common letters are a, e, o, and r.<ref name=perfect />
Users rarely make full use of larger character sets in forming passwords. For example, hacking results obtained from a MySpace phishing scheme in 2006 revealed 34,000 passwords, of which only 8.3% used mixed case, numbers, and symbols.<ref name=myspace-passwords>{{cite news | url = http://archive.wired.com/politics/security/commentary/securitymatters/2006/12/72300?currentPage=all | title = MySpace Passwords aren't so Dumb | author = Bruce Schneier | publisher = Wired Magazine | accessdate = April 11, 2008 | date = December 14, 2006 | url-status = live | archiveurl = https://web.archive.org/web/20140521031354/http://archive.wired.com/politics/security/commentary/securitymatters/2006/12/72300?currentPage=all | archivedate = May 21, 2014 }}</ref>
The full strength associated with using the entire ASCII character set (numerals, mixed case letters and special characters) is only achieved if each possible password is equally likely. This seems to suggest that all passwords must contain characters from each of several character classes, perhaps upper and lower case letters, numbers, and non-alphanumeric characters. In fact, such a requirement is a pattern in password choice and can be expected to reduce an attacker's "work factor" (in Claude Shannon's terms). This is a reduction in password "strength". A better requirement would be to require a password NOT to contain any word in an online dictionary, or list of names, or any license plate pattern from any state (in the US) or country (as in the EU). If patterned choices are required, humans are likely to use them in predictable ways, such as capitalizing a letter, adding one or two numbers, and a special character. This predictability means that the increase in password strength is minor when compared to random passwords.
==== NIST Special Publication 800-63-2 ====
[[NIST]] Special Publication 800-63 of June 2004 (revision 2) suggested a scheme to approximate the entropy of human-generated passwords:<ref name=NIST>{{cite web | url = http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf | title = SP 800-63 – Electronic Authentication Guideline | publisher = NIST | accessdate = April 20, 2014 | url-status = dead | archiveurl = https://web.archive.org/web/20040712152833/http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf | archivedate = July 12, 2004 }} {{Webarchive|url=https://web.archive.org/web/20040712152833/http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf |date=July 12, 2004 }}</ref>
Using this scheme, an eight-character human-selected password without upper case characters and non-alphabetic characters OR with either but of the two character sets is estimated to have 18 bits of entropy. The NIST publication concedes that at the time of development, little information was available on the real world selection of passwords. Later research into human-selected password entropy using newly available real world data has demonstrated that the NIST scheme does not provide a valid metric for entropy estimation of human-selected passwords.<ref name=WeirEtAl>{{cite web | url = http://reusablesec.blogspot.com/2010/10/new-paper-on-password-security-metrics.html | title = Testing Metrics for Password Creation Policies by Attacking Large Sets of Revealed Passwords | format = PDF | author1 = Matt Weir | author2 = Susdhir Aggarwal | author3 = Michael Collins | author4 = Henry Stern | date = 7 October 2010 | accessdate = March 21, 2012 | url-status = live | archiveurl = https://web.archive.org/web/20120706124704/http://reusablesec.blogspot.com/2010/10/new-paper-on-password-security-metrics.html | archivedate = July 6, 2012 }}</ref> The June 2017 revision of SP 800-63 (Revision 3) drops this approach.<ref>{{cite web | url = https://pages.nist.gov/800-63-3 | title = SP 800-63-3 – Digital Identity Guidelines | format = PDF | publisher = NIST | date = June 2017 | accessdate = August 6, 2017 | url-status = live | archiveurl = https://web.archive.org/web/20170806142240/https://pages.nist.gov/800-63-3/ | archivedate = August 6, 2017 }}</ref>
===Usability and implementation considerations===
Because national keyboard implementations vary, not all 94 ASCII printable characters can be used everywhere.<!-- The situation of assorted 7-bit ASCII character sets is long and sordid, quite indeterminate, and basically a dog's breakfast. The advent of Unicode / UCS has at least 'settled' what the lowest 128 characters are, though this is not exactly what most of the prior character sets had. --> This can present a problem to an international traveler who wished to log into remote system using a keyboard on a local computer. ''See'' [[List of Latin-script keyboard layouts|''keyboard layout'']]. Many hand held devices, such as [[tablet computer]]s and [[smart phone]]s, require complex shift sequences or keyboard app swapping to enter special characters.
Authentication programs vary in which characters they allow in passwords. Some do not recognize case differences (e.g., the upper-case "E" is considered equivalent to the lower-case "e"), others prohibit some of the other symbols. In the past few decades, systems have permitted more characters in passwords, but limitations still exist. Systems also vary in the maximum length of passwords allowed.
As a practical matter, passwords must be both reasonable and functional for the end user as well as strong enough for the intended purpose. Passwords that are too difficult to remember may be forgotten and so are more likely to be written on paper, which some consider a security risk.<ref name=Gartner>{{cite web | url = http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf | title = Passwords are Near the Breaking Point | publisher = Gartner | author = A. Allan | accessdate = April 10, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20060427032938/http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf | archivedate = April 27, 2006 }} {{Webarchive|url=https://web.archive.org/web/20060427032938/http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf |date=April 27, 2006 }}</ref> In contrast, others argue that forcing users to remember passwords without assistance can only accommodate weak passwords, and thus poses a greater security risk. According to [[Bruce Schneier]], most people are good at securing their wallets or purses, which is a "great place" to store a written password.<ref name=Schneier-writedown>{{cite web | url = http://www.schneier.com/blog/archives/2005/06/write_down_your.html | title = Schneier on Security | work = Write Down Your Password | author = Bruce Schneier | accessdate = April 10, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080413032636/http://www.schneier.com/blog/archives/2005/06/write_down_your.html | archivedate = April 13, 2008 }}</ref>
== Required bits of entropy ==
The minimum number of bits of entropy needed for a password depends on the [[threat model]] for the given application. If [[key stretching]] is not used, passwords with more entropy are needed. RFC 4086, "Randomness Requirements for Security", presents some example threat models and how to calculate the entropy desired for each one.<ref>{{cite IETF | title = Randomness Requirements for Security | rfc = 4086}}</ref> Their answers vary between 29 bits of entropy needed if only online attacks are expected, and up to 96 bits of entropy needed for important cryptographic keys used in applications like encryption where the password or key needs to be secure for a long period of time and stretching isn't applicable. A 2010 [[Georgia Tech Research Institute]] study based on unstretched keys recommended a 12-character random password, but as a minimum length requirement.<ref name="gtri">{{cite web|url=http://www.gtri.gatech.edu/casestudy/Teraflop-Troubles-Power-Graphics-Processing-Units-GPUs-Password-Security-System|title=Teraflop Troubles: The Power of Graphics Processing Units May Threaten the World's Password Security System|publisher=[[Georgia Tech Research Institute]]|accessdate=2010-11-07|url-status=live|archiveurl=https://web.archive.org/web/20101230063449/http://www.gtri.gatech.edu/casestudy/Teraflop-Troubles-Power-Graphics-Processing-Units-GPUs-Password-Security-System|archivedate=2010-12-30}}</ref><ref name="msnbc">{{cite news|url=http://www.nbcnews.com/id/38771772|title=Want to deter hackers? Make your password longer|publisher=[[NBC News]]|date=2010-08-19|accessdate=2010-11-07}}</ref>. Keep in mind that computing power continues to grow, so to prevent offline attacks the required bits of entropy should also increase over time.
The upper end is related to the stringent requirements of choosing keys used in encryption. In 1999, [[EFF DES cracker|an Electronic Frontier Foundation project]] broke 56-bit [[Data Encryption Standard|DES]] encryption in less than a day using specially designed hardware.<ref name=EFF-deep-crack>{{cite web | url = http://w2.eff.org/Privacy/Crypto/Crypto_misc/DESCracker/HTML/19980716_eff_descracker_pressrel.html | title = EFF DES Cracker machine brings honesty to crypto debate | publisher = EFF | accessdate = March 27, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20100101001853/http://w2.eff.org/Privacy/Crypto/Crypto_misc/DESCracker/HTML/19980716_eff_descracker_pressrel.html | archivedate = January 1, 2010 }}</ref> In 2002, ''[[distributed.net]]'' cracked a 64-bit key in 4 years, 9 months, and 23 days.<ref name=distributed>{{cite web | url = http://stats.distributed.net/projects.php?project_id=5 | title = 64-bit key project status | publisher = Distributed.net | accessdate = March 27, 2008 | archive-url = https://web.archive.org/web/20130910051812/http://stats.distributed.net/projects.php?project_id=5 | archive-date = September 10, 2013 | url-status = dead }}</ref> As of October 12, 2011, ''distributed.net'' estimates that cracking a 72-bit key using current hardware will take about 45,579 days or 124.8 years.<ref name=distributed-72>{{cite web | url = http://stats.distributed.net/projects.php?project_id=8 | title = 72-bit key project status | publisher = Distributed.net | accessdate = October 12, 2011 }}</ref> Due to currently understood limitations from fundamental physics, there is no expectation that any [[digital computer]] (or combination) will be capable of breaking 256-bit encryption via a brute-force attack.<ref name=schneier-cyptogram>{{cite web | url = http://www.schneier.com/crypto-gram-9902.html | title = Snakeoil: Warning Sign #5: Ridiculous key lengths | author = Bruce Schneier | accessdate = March 27, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080418225248/http://www.schneier.com/crypto-gram-9902.html | archivedate = April 18, 2008 }}</ref> Whether or not [[quantum computers]] will be able to do so in practice is still unknown, though theoretical analysis suggests such possibilities.<ref>{{cite web |url=https://stackoverflow.com/questions/2768807/quantum-computing-and-encryption-breaking |title=Quantum Computing and Encryption Breaking |publisher=Stack Overflow |date=2011-05-27 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130521043721/http://stackoverflow.com/questions/2768807/quantum-computing-and-encryption-breaking |archivedate=2013-05-21 }}</ref>
== Guidelines for strong passwords ==
=== Common guidelines ===
Guidelines for choosing good passwords are typically designed to make passwords harder to discover by intelligent guessing. Common guidelines advocated by proponents of software system security include:<ref>Microsoft Corporation, [http://www.microsoft.com/protect/yourself/password/create.mspx Strong passwords: How to create and use them] {{webarchive|url=https://web.archive.org/web/20080101132156/http://www.microsoft.com/protect/yourself/password/create.mspx |date=2008-01-01 }}</ref><ref name="schneier07">Bruce Schneier, [http://www.schneier.com/blog/archives/2007/01/choosing_secure.html Choosing Secure Passwords] {{webarchive|url=https://web.archive.org/web/20080223002450/http://www.schneier.com/blog/archives/2007/01/choosing_secure.html |date=2008-02-23 }}</ref><ref>Google, Inc., [https://www.google.com/accounts/PasswordHelp How safe is your password?] {{webarchive|url=https://web.archive.org/web/20080222225549/https://www.google.com/accounts/PasswordHelp |date=2008-02-22 }}</ref><ref name="UMD01">University of Maryland, [http://www.cs.umd.edu/faq/Passwords.shtml Choosing a Good Password] {{webarchive|url=https://web.archive.org/web/20140614022254/http://www.cs.umd.edu/faq/Passwords.shtml |date=2014-06-14 }}</ref><ref name="Bidwell000">{{cite book
| first = Teri
| last = Bidwell
| title = Hack Proofing Your Identity in the Information Age
| url = https://archive.org/details/hackproofingyour0000bidw
| url-access = registration
| publisher = Syngress Publishing
| year = 2002
| isbn = 978-1-931836-51-7
}}</ref>
* Use a minimum password length of 10 or more characters if permitted.
* Include lowercase and uppercase alphabetic characters, numbers and symbols if permitted.
* Generate passwords randomly where feasible.
* Avoid using the same password twice (e.g., across multiple user accounts and/or software systems).
* Avoid character repetition, keyboard patterns, dictionary words, letter or number sequences.
* Avoid using information that is or might become publicly associated with the user or the account, such as username, ancestors' names or dates.
* Avoid using information that the user's colleagues and/or acquaintances might know to be associated with the user, such as relative or pet names, romantic links (current or past) and biographical information (e.g., ID numbers, ancestors' names or dates)..
* Do not use passwords which consist wholly of any simple combination of the aforementioned weak components.
Some guidelines advise against writing passwords down, while others, noting the large numbers of password protected systems users must access, encourage writing down passwords as long as the written password lists are kept in a safe place, not attached to a monitor or in an unlocked desk drawer.<ref name="schneier.com">{{cite web|url=http://www.schneier.com/blog/archives/2005/06/write_down_your.html|title=Write Down Your Password - Schneier on Security|website=www.schneier.com|url-status=live|archiveurl=https://web.archive.org/web/20080413032636/http://www.schneier.com/blog/archives/2005/06/write_down_your.html|archivedate=2008-04-13}}</ref> Use of a [[password manager]] is recommended by the NCSC.<ref name="National Cyber Security Centre">{{cite web|url=https://www.ncsc.gov.uk/blog-post/what-does-ncsc-think-password-managers|title=What does the NCSC think of password managers?|website=www.ncsc.gov.uk|url-status=live|archiveurl=https://web.archive.org/web/20190305053922/https://www.ncsc.gov.uk/blog-post/what-does-ncsc-think-password-managers|archivedate=2019-03-05}}</ref>
The possible character set for a password can be constrained by different web sites or by the range of keyboards on which the password must be entered.<ref>E.g., for a keyboard with only 17 nonalphanumeric characters, see one for a BlackBerry phone in [http://www.hardwaresecrets.com/fullimage.php?image=18705 an enlarged image] {{webarchive|url=https://web.archive.org/web/20110406121058/http://www.hardwaresecrets.com/fullimage.php?image=18705 |date=2011-04-06 }} in support of [http://www.hardwaresecrets.com/article/795/2 Sandy Berger, ''BlackBerry Tour 9630 (Verizon) Cell Phone Review'', in Hardware Secrets (August 31, 2009)] {{webarchive|url=https://web.archive.org/web/20110406121111/http://www.hardwaresecrets.com/article/795/2 |date=April 6, 2011 }}, both as accessed January 19, 2010. That some websites don’t allow nonalphanumerics is indicated by [http://forums.theregister.co.uk/post/527230 Kanhef, ''Idiots, For Different Reasons'' (June 30, 2009) (topic post)] {{webarchive|url=https://web.archive.org/web/20110406121058/http://forums.theregister.co.uk/post/527230 |date=April 6, 2011 }}, as accessed January 20, 2010.</ref>
=== Examples of weak passwords ===
{{See also|Password cracking|List of the most common passwords}}
As with any security measure, passwords vary in effectiveness (i.e., strength); some are weaker than others. For example, the difference in weakness between a dictionary word and a word with obfuscation (i.e., letters in the password are substituted by, say, numbers — a common approach) may cost a password cracking device a few more seconds; this adds little strength. The examples below illustrate various ways weak passwords might be constructed, all of which are based on simple patterns which result in extremely low entropy, allowing them to be tested automatically at high speeds.:<ref name=perfect>{{cite book
| last = Burnett
| first = Mark
| editor = Kleiman, Dave
| title = Perfect Passwords
| publisher = Syngress Publishing
| year = 2006
| location = Rockland, Massachusetts
| isbn = 978-1-59749-041-2
| page = 181
| editor-link = Dave Kleiman }}</ref>
* [[Default password]]s (as supplied by the system vendor and meant to be changed at installation time): ''password'', ''default'', ''admin'', ''guest'', etc. Lists of default passwords are widely available on the internet.
* Dictionary words: ''chameleon'', ''RedSox'', ''sandbags'', ''bunnyhop!'', ''IntenseCrabtree'', etc., including words in non-English dictionaries.
* Words with numbers appended: ''password1'', ''deer2000'', ''john1234'', etc., can be easily tested automatically with little lost time.
* Words with simple obfuscation: ''p@ssw0rd'', ''l33th4x0r'', ''g0ldf1sh'', etc., can be tested automatically with little additional effort. For example, a domain administrator password compromised in the [[DigiNotar]] attack was reportedly ''Pr0d@dm1n.''<ref>{{cite web |url=http://thehackernews.com/2011/09/comodohacker-responsible-for-diginotar.html |title=ComodoHacker responsible for DigiNotar Attack – Hacking News |publisher=Thehackernews.com |date=2011-09-06 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130517204022/http://thehackernews.com/2011/09/comodohacker-responsible-for-diginotar.html |archivedate=2013-05-17 }}</ref>
* Doubled words: ''crabcrab'', ''stopstop'', ''treetree'', ''passpass'', etc.
* Common sequences from a keyboard row: ''qwerty'', ''123456'', ''asdfgh'', ''fred'', etc.
* Numeric sequences based on well known numbers such as 911 <sup>([[9-1-1]], [[September 11 attacks|9/11]])</sup>, 314159... <sup>([[pi]])</sup>, 27182... <sup>([[E (mathematical constant)|e]])</sup>, 112 <sup>([[112 (emergency telephone number)|1-1-2]])</sup>, etc.
* Identifiers: ''jsmith123'', ''1/1/1970'', ''555–1234'', one's username, etc.
* Weak passwords in non-English languages, such as contraseña (Spanish) and ji32k7au4a83 (bopomofo keyboard encoding from Chinese)<ref>{{cite news|url=https://www.iheart.com/content/2019-03-08-heres-why-ji32k7au4a83-is-a-surprisingly-common-password/|title=Here's Why 'ji32k7au4a83' Is A Surprisingly Common Password|accessdate=25 March 2019|date=8 March 2019|author=Dave Basner}}</ref>
* Anything personally related to an individual: license plate number, Social Security number, current or past telephone numbers, student ID, current address, previous addresses, birthday, sports team, relative's or pet's names/nicknames/birthdays/initials, etc., can easily be tested automatically after a simple investigation of a person's details.
* Dates: dates follow a pattern and make your password weak.
There are many other ways a password can be weak,<ref>Bidwell, p. 87</ref> corresponding to the strengths of various attack schemes; the core principle is that a password should have high entropy (usually taken to be equivalent to randomness) and ''not'' be readily derivable by any "clever" pattern, nor should passwords be mixed with information identifying the user. On-line services often provide a restore password function that a hacker can figure out and by doing so bypass a password. Choosing hard-to-guess restore password questions can further secure the password.<ref>{{cite web |url=http://www.lockdown.co.uk/?pg=password_guide |title=Guidelines for choosing a good password |publisher=Lockdown.co.uk |date=2009-07-10 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130326163635/http://www.lockdown.co.uk/?pg=password_guide |archivedate=2013-03-26 }}</ref>
=== Rethinking password change guidelines ===
{{outdated section|reason="standards of today" and processor speeds have both changed significantly since 2012|date=September 2017}}
In December, 2012, [[William Cheswick]] wrote an article published in ACM magazine that included the mathematical possibilities of how easy or difficult it would be to break passwords that are constructed using the commonly recommended, and sometimes followed, standards of today. In his article, William showed that a standard eight character alpha-numeric password could withstand a brute force attack of ten million attempts per second, and remain unbroken for 252 days. Ten million attempts each second is the acceptable rate of attempts using a multi-core system that most users would have access to. A much greater degree of attempts, at the rate of 7 billion per second, could also be achieved when using modern GPUs. At this rate, the same 8 character full alpha-numeric password could be broken in approximately 0.36 days (i.e. 9 hours). Increasing the password complexity to a 13 character full alpha-numeric password increases the time needed to crack it to more than 900,000 years at 7 billion attempts per second. This is, of course, assuming the password does not use a common word that a dictionary attack could break much sooner. Using a password of this strength reduces the obligation to change it as often as many organizations require, including the U.S. Government, as it could not be reasonably broken in such a short period of time.<ref>{{Cite web|url=https://queue.acm.org/detail.cfm?id=2422416|title=HTML version - Rethinking Passwords|last=William|first=Cheswick|date=2012-12-31|website=[[Association for Computing Machinery]] (ACM)|url-status=live|archive-url=https://archive.today/20191103172648/https://queue.acm.org/detail.cfm?id=2422416|archive-date=2019-11-03|access-date=2019-11-03}}</ref><ref>{{Cite journal|url=https://dl.acm.org/citation.cfm?doid=2405116.2422416|title=ACM Digital Library - Rethinking Passwords|last=William|first=Cheswick|date=2012-12-31|journal=Queue|url-status=live|archive-url=https://archive.today/20191103173450/https://dl.acm.org/citation.cfm?doid=2405116.2422416|archive-date=2019-11-03|access-date=2019-11-03}}</ref>
== Password policy ==
{{Main|Password policy}}
A password policy is a guide to choosing satisfactory passwords. It is intended to:
* assist users in choosing strong passwords
* ensure the passwords are suited to the target population
* provide recommendations for users with regard to the handling of their passwords
* impose a requirement to change any password which has been lost or compromised, and perhaps that no password be used longer than a limited time
* (in some cases) prescribe the pattern of characters which passwords must contain
* use a [[Blacklist (computing)#Usernames and passwords|password blacklist]] to block the usage of weak or easily guessed passwords.
For example, password expiration is often covered by password policies. Password expiration serves two purposes:<ref name=LOPSA>{{cite web | url = http://lopsa.org/node/295 | title = In Defense of Password Expiration | publisher = League of Professional Systems Administrators | accessdate = April 14, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20081012063918/http://lopsa.org/node/295 | archivedate = October 12, 2008 }} {{Webarchive|url=https://web.archive.org/web/20081012063918/http://lopsa.org/node/295 |date=October 12, 2008 }}</ref>
* If the time to crack a password is estimated to be 100 days, password expiration times fewer than 100 days may help ensure insufficient time for an attacker.
* If a password has been compromised, requiring it to be changed regularly should limit the access time for the attacker.
However, password expiration has its drawbacks:<ref name=WEB>{{cite web
|url = https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry
|title = The problems with forcing regular password expiry
|date = 15 April 2016
|work = IA Matters
|publisher = CESG: the Information Security Arm of GCHQ
|accessdate = 5 Aug 2016
|url-status = dead
|archiveurl = https://web.archive.org/web/20160817223701/https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry
|archivedate = 17 August 2016
}} {{Webarchive|url=https://web.archive.org/web/20160817223701/https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry |date=17 August 2016 }}</ref><ref name=CERIAS>{{cite web | url = http://www.cerias.purdue.edu/weblogs/spaf/general/post-30/ | title = Security Myths and Passwords | publisher = The Center for Education and Research in Information Assurance and Security | author = Eugene Spafford | accessdate = April 14, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080411123000/http://www.cerias.purdue.edu/weblogs/spaf/general/post-30/ | archivedate = April 11, 2008 }}</ref>
* Asking users to change passwords frequently encourages simple, weak passwords.
* If one has a truly strong password, there is little point in changing it. Changing passwords which are already strong introduces risk that the new password may be less strong.
* A compromised password is likely to be used immediately by an attacker to install a [[backdoor (computing)|backdoor]], often via [[privilege escalation]]. Once this is accomplished, password changes won't prevent future attacker access.
* Moving from never changing one's password to changing the password on every authenticate attempt (pass ''or'' fail attempts) only doubles the number of attempts the attacker must make on average before guessing the password in a brute force attack. One gains ''much'' more security by just increasing the password length by one character than changing the password on every use.
=== Creating and handling passwords ===
The hardest passwords to crack, for a given length and character set, are random character strings; if long enough they resist brute force attacks (because there are many characters) and guessing attacks (due to high entropy). However, such passwords are typically the hardest to remember. The imposition of a requirement for such passwords in a password policy may encourage users to write them down, store them in [[mobile device]]s, or share them with others as a safeguard against memory failure. While some people consider each of these user resorts to increase security risks, others suggest the absurdity of expecting users to remember distinct complex passwords for each of the dozens of accounts they access. For example, in 2005, security expert [[Bruce Schneier]] recommended writing down one's password:
{{Quote|quote=Simply, people can no longer remember passwords good enough to reliably defend against dictionary attacks, and are much more secure if they choose a password too complicated to remember and then write it down. We're all good at securing small pieces of paper. I recommend that people write their passwords down on a small piece of paper, and keep it with their other valuable small pieces of paper: in their wallet.<ref name="schneier.com"/>}}
The following measures may increase acceptance of strong password requirements, if carefully used:
* a training program. Also, updated training for those who fail to follow the password policy (lost passwords, inadequate passwords, etc.).
* rewarding strong password users by reducing the rate, or eliminating altogether, the need for password changes (password expiration). The strength of user-chosen passwords can be estimated by automatic programs which inspect and evaluate proposed passwords, when setting or changing a password.
* displaying to each user the last login date and time in the hope that the user may notice unauthorized access, suggesting a compromised password.
* allowing users to reset their passwords via an automatic system, which reduces help desk call volume. However, some systems are themselves insecure; for instance, easily guessed or researched answers to password reset questions bypass the advantages of a strong password system.
* using randomly generated passwords that do not allow users to choose their own passwords, or at least offering randomly generated passwords as an option.
=== Memory techniques ===
Password policies sometimes suggest [[Memory improvement|memory technique]]s to assist remembering passwords:
* mnemonic passwords: Some users develop [[mnemonic]] phrases and use them to generate more or less random passwords which are nevertheless relatively easy for the user to remember. For instance, the first letter of each word in a memorable phrase. Research estimates the password strength of such passwords to be about 3.7 bits per character, compared to the 6.6 bits for random passwords from ASCII printable characters.<ref>{{cite conference |url=https://www.internetsociety.org/sites/default/files/ndss2017_03A-4_Kiesel_paper.pdf |title=A Large-scale Analysis of the Mnemonic Password Advice |author=Johannes Kiesel |author2=Benno Stein |author3=Stefan Lucks |year=2017 |publisher=Internet Society |booktitle=Proceedings of the 24th Annual Network and Distributed System Security Symposium (NDSS 17) |url-status=dead |archiveurl=https://web.archive.org/web/20170330174637/https://www.internetsociety.org/sites/default/files/ndss2017_03A-4_Kiesel_paper.pdf |archivedate=2017-03-30 |conference= |access-date=2017-03-30 }}</ref> Silly ones are possibly more memorable.<ref>[http://uc.iupui.edu/uploadedFiles/Learning_Center_Site/Mnemonic%20Devices.pdf ''Mnemonic Devices'' (Indianapolis, Ind.: Bepko Learning Ctr., University College)], as accessed January 19, 2010 {{webarchive |url=https://web.archive.org/web/20100610000727/http://uc.iupui.edu/uploadedFiles/Learning_Center_Site/Mnemonic%20Devices.pdf |date=June 10, 2010 }}</ref> Another way to make random-appearing passwords more memorable is to use random words (see [[diceware]]) or syllables instead of randomly chosen letters.
* after-the-fact mnemonics: After the password has been established, invent a mnemonic that fits.<ref>[http://changingminds.org/techniques/memory/remembering_passwords.htm Remembering Passwords (ChangingMinds.org)] {{webarchive|url=http://archive.wikiwix.com/cache/20100121181700/http://changingminds.org/techniques/memory/remembering_passwords.htm |date=2010-01-21 }}, as accessed January 19, 2010</ref> It does not have to be reasonable or sensible, only memorable. This allows passwords to be random.
* visual representations of passwords: a password is memorized based on a sequence of keys pressed, not the values of the keys themselves, e.g. a sequence !qAsdE#2 represents a [[rhomboid]] on a US keyboard. The method to produce such passwords is called PsychoPass;<ref name=":10">{{cite journal | last1 = Cipresso | first1 = P | last2 = Gaggioli | first2 = A | last3 = Serino | first3 = S | last4 = Cipresso | first4 = S | last5 = Riva | first5 = G | year = 2012 | title = How to Create Memorizable and Strong Passwords | journal = J Med Internet Res | volume = 14 | issue = 1| page = e10 | doi = 10.2196/jmir.1906 | pmid = 22233980 | pmc=3846346}}</ref> moreover, such spatially patterned passwords can be improved.<ref>{{cite journal | pmc = 3742392 | pmid=23942458 | doi=10.2196/jmir.2366 | volume=15 | issue=8 | title=Security analysis and improvements to the PsychoPass method. | year=2013 | journal=J Med Internet Res | page=e161 | last1 = Brumen | first1 = B | last2 = Heričko | first2 = M | last3 = Rozman | first3 = I | last4 = Hölbl | first4 = M}}</ref><ref>{{cite web|url=https://blogs.dropbox.com/tech/2012/04/zxcvbn-realistic-password-strength-estimation/|title=zxcvbn: realistic password strength estimation|website=Dropbox Tech Blog|url-status=live|archiveurl=https://web.archive.org/web/20150405131234/https://blogs.dropbox.com/tech/2012/04/zxcvbn-realistic-password-strength-estimation/|archivedate=2015-04-05}}</ref>
* password patterns: Any pattern in a password makes guessing (automated or not) easier and reduces an attacker's work factor.
** For example, passwords of the following case-insensitive form: consonant, vowel, consonant, consonant, vowel, consonant, number, number (for example ''pinray45'') are called Environ passwords.<ref>{{cite book
| first = Ross
| last = Anderson
| year = 2001
| title = Security engineering: A guide to building dependable distributed systems
| url = https://archive.org/details/securityengineer00ande
| url-access = registration
| publisher = John Wiley & Sons, Inc.
| isbn = 978-0470068526
}}</ref> The pattern of alternating vowel and consonant characters was intended to make passwords more likely to be pronounceable and thus more memorable. Unfortunately, such patterns severely reduce the password's [[information entropy]], making [[brute force attack|brute force]] password attacks considerably more efficient. In the UK in October 2005, employees of [[Departments of the United Kingdom Government|the British government]] were advised to use passwords in this form.{{Citation needed|date=January 2012}}
=== Protecting passwords ===
{{how-to|date=March 2013}}
Computer users are generally advised to "never write down a password anywhere, no matter what" and "never use the same password for more than one account."<ref>{{Cite news|url=https://www.telegraph.co.uk/finance/personalfinance/bank-accounts/12149022/Use-the-same-password-for-everything-Youre-fuelling-a-surge-in-current-account-fraud.html|title=Use the same password for everything? You're fuelling a surge in current account fraud|last=Morley|first=Katie|date=2016-02-10|work=Telegraph.co.uk|access-date=2017-05-22|language=en|url-status=live|archiveurl=https://web.archive.org/web/20170513044756/http://www.telegraph.co.uk/finance/personalfinance/bank-accounts/12149022/Use-the-same-password-for-everything-Youre-fuelling-a-surge-in-current-account-fraud.html|archivedate=2017-05-13}}</ref> However, an ordinary computer user may have dozens of password-protected accounts. Users with multiple accounts needing passwords often give up and use the same password for every account. When varied password complexity requirements prevent use of the same (memorable) scheme for producing high-strength passwords, oversimplified passwords will often be created to satisfy irritating and conflicting password requirements.
A [[Microsoft]] expert was quoted as saying at a 2005 security conference: "I claim that password policy should say you should write down your password. I have 68 different passwords. If I am not allowed to write any of them down, guess what I am going to do? I am going to use the same password on every one of them."<ref>[http://www.cnet.com/news/microsoft-security-guru-jot-down-your-passwords/ Microsoft security guru: Jot down your passwords] {{webarchive|url=https://web.archive.org/web/20160205211730/http://www.cnet.com/news/microsoft-security-guru-jot-down-your-passwords/ |date=2016-02-05 }}, ''c\net'' Retrieved on 2016-02-02</ref>
Software is available for popular hand-held computers that can store passwords for numerous accounts in encrypted form. Passwords can be [[Encryption|encrypted]] by hand on paper and remember the encryption method and key.<ref>Simple methods (e.g., [[Rot13|ROT13]] and [[Cipher#Historical ciphers|some other old ciphers]]) may suffice; for more sophisticated hand-methods see [http://www.schneier.com/solitaire.html Bruce Schneier, The Solitaire Encryption Algorithm (May 26, 1999) (ver. 1.2)] {{webarchive|url=https://web.archive.org/web/20151113061059/https://www.schneier.com/solitaire.html |date=November 13, 2015 }}, as accessed January 19, 2010, and [http://www.ibm.com/developerworks/power/library/pa-bigiron5/ Sam Siewert, ''Big Iron Lessons, Part 5: Introduction to Cryptography, From Egypt Through Enigma'' (IBM, July 26, 2005)] {{webarchive|url=https://web.archive.org/web/20100803202847/http://www.ibm.com/developerworks/power/library/pa-bigiron5/ |date=August 3, 2010 }}, as accessed January 19, 2010.</ref>
A single "master" password can be used with software to generate a new password for each application, based on the master password and the application's name. This approach is used by Stanford's PwdHash,<ref>{{cite conference |url=http://crypto.stanford.edu/PwdHash/pwdhash.pdf |title=Stronger Password Authentication Using Browser Extensions |author=Blake Ross |author2=Collin Jackson |author3=Nicholas Miyake |author4=Dan Boneh |author5=John C. Mitchell |year=2005 |publisher=USENIX |booktitle=Proceedings of the 14th Usenix Security Symposium |pages=17–32 |url-status=live |archiveurl=http://archive.wikiwix.com/cache/20120429031741/http://crypto.stanford.edu/PwdHash/pwdhash.pdf |archivedate=2012-04-29 }}</ref> Princeton's Password Multiplier,<ref>{{cite conference |url=http://www.cs.utexas.edu/~bwaters/publications/papers/www2005.pdf |title=A Convenient Method for Securely Managing Passwords |author=J. Alex Halderman |author2=Brent Waters |author3=Edward W. Felten |year=2005 |publisher=ACM |pages=1–9 |url-status=live |archiveurl=https://web.archive.org/web/20160115062049/http://www.cs.utexas.edu/~bwaters/publications/papers/www2005.pdf |archivedate=2016-01-15 |author-link=J. Alex Halderman }}</ref> and other stateless password managers. In this approach, protecting the master password is essential, as all passwords are compromised if the master password is revealed, and lost if the master password is forgotten or misplaced.
==Password managers==
{{Main|Password manager}}
A reasonable compromise for using large numbers of passwords is to record them in a password manager program, which include stand-alone applications, web browser extensions, or a manager built into the operating system. A password manager allows the user to use hundreds of different passwords, and only have to remember a single password, the one which opens the encrypted password database. Needless to say, this single password should be strong and well-protected (not recorded anywhere). Most password managers can automatically create strong passwords using a cryptographically secure [[random password generator]], as well as calculating the entropy of the generated password. A good password manager will provide resistance against attacks such as [[key logging]], clipboard logging and various other memory spying techniques.
==See also==
* [[Keystroke logging]]
* [[Passphrase]]
* [[Phishing]]
* [[Vulnerability (computing)]]
== References ==
{{Reflist|30em}}
== External links ==
* [http://tools.ietf.org/html/rfc4086 RFC 4086: Randomness Requirements for Security]
* [https://web.archive.org/web/20160416035311/http://www.architectingsecurity.com/2010/09/11/password-patterns/ Password Patterns:The next generation dictionary attacks]
{{DEFAULTSORT:Password Strength}}
[[Category:Cryptography]]
[[Category:Password authentication]]<noinclude>
<small>This page was moved from [[:en:Password strength]]. Its edit history can be viewed at [[Password strength/edithistory]]</small></noinclude>
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Nominada para su borrado, véase [[Wikipedia:Consultas de borrado/Password_strength]] mediante [[WP:Twinkle Lite|Twinkle Lite]]
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{{short description|Measure of the effectiveness of a password in resisting guessing and brute-force attacks}}
[[File:KeePass random password.png|thumb|400px|Options menu of the [[random password generation]] tool in [[KeePass]]. Enabling more character subsets raises the strength of generated passwords a small amount, whereas increasing their length raises the strength a large amount.]]
'''Password strength''' is a measure of the effectiveness of a [[password]] against guessing or [[brute-force attack]]s. In its usual form, it estimates how many trials an attacker who does not have direct access to the password would need, on average, to guess it correctly. The strength of a password is a function of length, complexity, and unpredictability.<ref name=CERT>{{cite web | url = http://www.us-cert.gov/cas/tips/ST04-002.html | title = Cyber Security Tip ST04-002 | work = Choosing and Protecting Passwords | publisher = US CERT | accessdate = June 20, 2009 | url-status = live | archiveurl = https://web.archive.org/web/20090707141138/http://www.us-cert.gov/cas/tips/ST04-002.html | archivedate = July 7, 2009 }}</ref>
Using strong passwords lowers overall [[risk]] of a security breach, but strong passwords do not replace the need for other effective [[security controls]]. The effectiveness of a password of a given strength is strongly determined by the design and implementation of the [[Authentication#Factors and identity|factors]] (knowledge, ownership, inherence). The first factor is the main focus in this article.
The rate at which an attacker can submit guessed passwords to the system is a key factor in determining system security. Some systems impose a time-out of several seconds after a small number (e.g. three) of failed password entry attempts. In the absence of other vulnerabilities, such systems can be effectively secured with relatively simple passwords. However, the system must store information about the user's passwords in some form and if that information is stolen, say by breaching system security, the user's passwords can be at risk.
In 2019, the United Kingdom's [[National Cyber Security Centre (United Kingdom)|NCSC]] analysed public databases of breached accounts to see which words, phrases and strings people used. Top of the list was 123456, appearing in more than 23 million passwords. The second-most popular string, 123456789, was not much harder to crack, while the top five included "[[qwerty]]", "password" and 1111111.<ref>{{Cite web|url=https://www.bbc.com/news/technology-47974583|title=Millions using 123456 as password, security study finds|date=21 April 2019|website=BBC News|access-date=24 April 2019}}</ref>
==Password creation==
Passwords are created either automatically (using randomizing equipment) or by a human; the latter case is more common. While the strength of randomly chosen passwords against a [[brute-force attack]] can be calculated with precision, determining the strength of human-generated passwords is challenging.
Typically, humans are asked to choose a password, sometimes guided by suggestions or restricted by a set of rules, when creating a new account for a computer system or Internet Web site. Only rough estimates of strength are possible, since humans tend to follow patterns in such tasks, and those patterns can usually assist an attacker.<ref name=NIST /> In addition, lists of commonly chosen passwords are widely available for use by password guessing programs. Such lists include the numerous online dictionaries for various human languages, breached databases of plaintext and hashed passwords from various online business and social accounts, along with other common passwords. All items in such lists are considered weak, as are passwords that are simple modifications of them. For some decades, investigations of passwords on multi-user computer systems have shown that 40% or more{{Citation needed|date=March 2016}} are readily guessed using only computer programs, and more can be found when information about a particular user is taken into account during the attack.
==Password guess validation==
Systems that use passwords for authentication must have some way to check any password entered to gain access. If the valid passwords are simply stored in a system file or database, an attacker who gains sufficient access to the system will obtain all user passwords, giving the attacker access to all accounts on the attacked system, and possibly other systems where users employ the same or similar passwords. One way to reduce this risk is to store only a [[cryptographic hash]] of each password instead of the password itself. Standard cryptographic hashes, such as the [[Secure Hash Algorithm (disambiguation)|Secure Hash Algorithm]] (SHA) series, are very hard to reverse, so an attacker who gets hold of the hash value cannot directly recover the password. However, knowledge of the hash value lets the attacker quickly test guesses offline. [[Password cracking]] programs are widely available that will test a large number of trial passwords against a purloined cryptographic hash.
Improvements in computing technology keep increasing the rate at which guessed passwords can be tested. For example, in 2010, the [[Georgia Tech Research Institute]] developed a method of using [[GPGPU]] to crack passwords much faster.<ref name="gtri"/> [[Elcomsoft]] invented the usage of common graphic cards for quicker password recovery in August 2007 and soon filed a corresponding patent in the US.<ref name="belenko">{{ cite patent | country=US | number=7929707 | status=patent | title=Use of graphics processors as parallel math co-processors for password recovery | assign1=Elcomsoft Co. Ltd. | inventor= Andrey V. Belenko | gdate=2011-04-19 }}</ref> By 2011, commercial products were available that claimed the ability to test up to 112,000 passwords per second on a standard desktop computer, using a high-end graphics processor for that time.<ref name=elcomsoft>[http://www.elcomsoft.com/eprb.html#gpu Elcomsoft.com] {{webarchive|url=https://web.archive.org/web/20061017173506/http://www.elcomsoft.com/eprb.html |date=2006-10-17 }}, [[ElcomSoft]] Password Recovery Speed table, [[NTLM]] passwords, [[Nvidia Tesla]] S1070 GPU, accessed 2011-02-01</ref> Such a device will crack a 6 letter single-case password in one day. Note that the work can be distributed over many computers for an additional speedup proportional to the number of available computers with comparable GPUs. Special [[key stretching]] hashes are available that take a relatively long time to compute, reducing the rate at which guessing can take place. Although it is considered best practice to use key stretching, many common systems do not.
Another situation where quick guessing is possible is when the password is used to form a [[cryptographic key]]. In such cases, an attacker can quickly check to see if a guessed password successfully decodes encrypted data. For example, one commercial product claims to test 103,000 [[Wi-Fi Protected Access|WPA]] PSK passwords per second.<ref>[http://www.elcomsoft.com/ewsa.html Elcomsoft Wireless Security Auditor, HD5970 GPU] {{webarchive|url=https://web.archive.org/web/20110219131825/http://www.elcomsoft.com/ewsa.html |date=2011-02-19 }} accessed 2011-02-11</ref>
If a password system only stores the hash of the password, an attacker can pre-compute hash values for common passwords variants and for all passwords shorter than a certain length, allowing very rapid recovery of the password once its hash is obtained. Very long lists of pre-computed password hashes can be efficiently stored using [[rainbow tables]]. This method of attack can be foiled by storing a random value, called a [[cryptographic salt]], along with the hash. The salt is combined with the password when computing the hash, so an attacker precomputing a rainbow table would have to store for each password its hash with every possible salt value. This becomes infeasible if the salt has a big enough range, say a 32-bit number. Unfortunately, many authentication systems in common use do not employ salts and rainbow tables are available on the Internet for several such systems.
===Entropy as a measure of password strength===
It is usual in the computer industry to specify password strength in terms of [[information entropy]] which is measured in [[bit]]s and is a concept from [[information theory]]. Instead of the number of guesses needed to find the password with certainty, the [[Binary logarithm|base-2 logarithm]] of that number is given, which is commonly referred to as the number of "entropy bits" in a password, though this is not exactly the same quantity as information entropy.<ref>{{cite conference |url=http://www.isiweb.ee.ethz.ch/archive/massey_pub/pdf/BI633.pdf |title=Guessing and entropy |author=James Massey |authorlink= |year=1994 |publisher=IEEE |pages=204|booktitle=Proceedings of 1994 IEEE International Symposium on Information Theory|author-link=James Massey }}</ref> A password with an entropy of 42 bits calculated in this way would be as strong as a string of 42 bits chosen randomly, for example by a [[fair coin]] toss. Put another way, a password with an entropy of 42 bits would require 2<sup>42</sup> (4,398,046,511,104) attempts to exhaust all possibilities during a [[brute force search]]. Thus, by increasing the entropy of the password by one bit the number of guesses required doubles, making an attacker's task twice as difficult. On average, an attacker will have to try half the possible number of passwords before finding the correct one.<ref name=NIST />
=== Random passwords ===
{{Main|Random password generator}}
Random passwords consist of a string of symbols of specified length taken from some set of symbols using a random selection process in which each symbol is equally likely to be selected. The symbols can be individual characters from a character set (e.g., the [[ASCII]] character set), syllables designed to form pronounceable passwords, or even words from a word list (thus forming a [[passphrase]]).
The strength of random passwords depends on the actual entropy of the underlying number generator; however, these are often not truly random, but pseudorandom. Many publicly available password generators use random number generators found in programming libraries that offer limited entropy. However most modern operating systems offer cryptographically strong random number generators that are suitable for password generation. It is also possible to use ordinary [[dice]] to generate random passwords. ''See [[Random password generator#Stronger methods|stronger methods]].'' Random password programs often have the ability to ensure that the resulting password complies with a local [[password policy]]; for instance, by always producing a mix of letters, numbers and special characters.
For passwords generated by a process that randomly selects a string of symbols of length, ''L'', from a set of ''N'' possible symbols, the number of possible passwords can be found by raising the number of symbols to the power ''L'', i.e. ''N''<sup>''L''</sup>. Increasing either ''L'' or ''N'' will strengthen the generated password. The strength of a random password as measured by the [[information entropy]] is just the [[binary logarithm|base-2 logarithm]] or log<sub>2</sub> of the number of possible passwords, assuming each symbol in the password is produced independently. Thus a random password's information entropy, ''H'', is given by the formula:
{{align|center|
<math>H = \log_2 N^L = L\log_2 N = L {\log N \over \log 2}</math>
}}
where ''N'' is the number of possible symbols and ''L'' is the number of symbols in the password. ''H'' is measured in [[bit]]s.<ref name=NIST/><ref>Schneier, B: ''Applied Cryptography'', 2e, page 233 ff. John Wiley and Sons.</ref> In the last expression, ''log'' can be to any [[Base (exponentiation)|base]].
:{| class="wikitable" style="text-align: right;"
|+ Entropy per symbol for different symbol sets
! Symbol set || Symbol count ''N'' || Entropy per symbol ''H''
|-
| align=left|[[Arabic numerals]] (0–9) (e.g. [[Personal identification number|PIN]]) || 10 || {{Rnd|3.3219280948874|3}} bits
|-
| align=left|[[hexadecimal]] numerals (0–9, A–F) (e.g. [[Wired Equivalent Privacy|WEP]] keys) || 16 || 4.000 bits
|-
| align=left|[[Case sensitivity|Case insensitive]] [[Latin alphabet]] (a–z or A–Z) || 26 || {{Rnd|4.7004397181411|3}} bits
|-
| align=left|Case insensitive [[alphanumeric]] (a–z or A–Z, 0–9) || 36 || {{Rnd|5.1699250014423|3}} bits
|-
| align=left|[[Case sensitivity|Case sensitive]] Latin alphabet (a–z, A–Z) || 52 || {{Rnd|5.7004397181411|3}} bits
|-
| align=left|Case sensitive alphanumeric (a–z, A–Z, 0–9) || 62 || {{Rnd|5.9541963103869|3}} bits
|-
| align=left|All [[Printable characters|ASCII printable characters]] except space || 94 || {{Rnd|6.55458885|3}} bits
|-
| align=left|All [[Latin-1 Supplement|Latin-1 Supplement characters]] || 94 || {{Rnd|6.55458885|3}} bits
|-
| align=left|All [[Printable characters|ASCII printable characters]] || 95 || {{Rnd|6.5698556083309|3}} bits
|-
| align=left|All [[Extended ASCII|extended ASCII printable characters]] || 218 || {{Rnd|7.7681843247769|3}} bits
|-
| align=left|[[Binary number|Binary]] (0–255 or 8 [[bit]]s or 1 [[byte]]) || 256 || {{Rnd|8|3}} bits
|-
| align=left|[[Diceware]] word list || 7776 || {{Rnd|12.924812503606|3}} bits per word
|}
A [[binary number|binary]] [[byte]] is usually expressed using two hexadecimal characters.
To find the length, ''L,'' needed to achieve a desired strength ''H,'' with a password drawn randomly from a set of ''N'' symbols, one computes:
{{align|center|
<math>L = {H \over \log_2 N}</math>
}}
rounded up to the next largest [[natural number|whole number]].
The following table uses this formula to show the required lengths of truly randomly generated passwords to achieve desired password entropies for common symbol sets:
{| class="wikitable"
|+ Lengths ''L'' of truly randomly generated passwords required to achieve a desired password entropy ''H'' for symbol sets containing ''N'' symbols
|-
! rowspan=2|Desired password<br>entropy ''H'' !!rowspan=2| [[Arabic numerals|Arabic<br>numerals]]!!rowspan=2| [[Hexadecimal]] !! colspan=2|[[Case sensitivity|Case insensitive]] !! colspan=2|[[Case sensitivity|Case sensitive]] !! All ASCII !! All [[Extended ASCII|Extended<br>ASCII]] !! rowspan=2|[[Diceware]]<br>word list
|-
! [[Latin alphabet|Latin<br>alphabet]] !![[alphanumeric|alpha-<br>numeric]] !! Latin<br>alphabet !! alpha-<br>numeric !!colspan=2|[[printable characters]]
|-
| 8 bits (1 byte) || 3 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 1 word
|-
| 32 bits (4 bytes) || 10 || 8 || 7 || 7 || 6 || 6 || 5 || 5 || 3 words
|-
| 40 bits (5 bytes) || 13 || 10 || 9 || 8 || 8 || 7 || 7 || 6 || 4 words
|-
| 64 bits (8 bytes) || 20 || 16 || 14 || 13 || 12 || 11 || 10 || 9 || 5 words
|-
| 80 bits (10 bytes) || 25 || 20 || 18 || 16 || 15 || 14 || 13 || 11 || 7 words
|-
| 96 bits (12 bytes) || 29 || 24 || 21 || 19 || 17 || 17 || 15 || 13 || 8 words
|-
| 128 bits (16 bytes) || 39 || 32 || 28 || 25 || 23 || 22 || 20 || 17 || 10 words
|-
| 160 bits (20 bytes) || 49 || 40 || 35 || 31 || 29 || 27 || 25 || 21 || 13 words
|-
| 192 bits (24 bytes) || 58 || 48 || 41 || 38 || 34 || 33 || 30 || 25 || 15 words
|-
| 224 bits (28 bytes) || 68 || 56 || 48 || 44 || 40 || 38 || 35 || 29 || 18 words
|-
| 256 bits (32 bytes) || 78 || 64 || 55 || 50 || 45 || 43 || 39 || 33 || 20 words
|}
=== Human-generated passwords ===
People are notoriously poor at achieving sufficient entropy to produce satisfactory passwords. According to one study involving half a million users, the average password entropy was estimated at 40.54 bits.<ref>{{cite journal|last1=Florencio|first1=Dinei|last2=Herley|first2=Cormac|title=A Large-Scale Study of Web Password Habits|journal=Proceeds of the International World Wide Web Conference Committee|date=May 8, 2007|url=http://research.microsoft.com/pubs/74164/www2007.pdf|ref=ACM 978-1-59593-654-7/07/0005.|url-status=live|archiveurl=https://web.archive.org/web/20150327031521/http://research.microsoft.com/pubs/74164/www2007.pdf|archivedate=March 27, 2015}}</ref> Some stage magicians exploit this inability for amusement, in a minor way, by divining supposed random choices (of numbers, say) made by audience members.
Thus, in one analysis of over 3 million eight-character passwords, the letter "e" was used over 1.5 million times, while the letter "f" was used only 250,000 times. A [[uniform distribution (discrete)|uniform distribution]] would have had each character being used about 900,000 times. The most common number used is "1", whereas the most common letters are a, e, o, and r.<ref name=perfect />
Users rarely make full use of larger character sets in forming passwords. For example, hacking results obtained from a MySpace phishing scheme in 2006 revealed 34,000 passwords, of which only 8.3% used mixed case, numbers, and symbols.<ref name=myspace-passwords>{{cite news | url = http://archive.wired.com/politics/security/commentary/securitymatters/2006/12/72300?currentPage=all | title = MySpace Passwords aren't so Dumb | author = Bruce Schneier | publisher = Wired Magazine | accessdate = April 11, 2008 | date = December 14, 2006 | url-status = live | archiveurl = https://web.archive.org/web/20140521031354/http://archive.wired.com/politics/security/commentary/securitymatters/2006/12/72300?currentPage=all | archivedate = May 21, 2014 }}</ref>
The full strength associated with using the entire ASCII character set (numerals, mixed case letters and special characters) is only achieved if each possible password is equally likely. This seems to suggest that all passwords must contain characters from each of several character classes, perhaps upper and lower case letters, numbers, and non-alphanumeric characters. In fact, such a requirement is a pattern in password choice and can be expected to reduce an attacker's "work factor" (in Claude Shannon's terms). This is a reduction in password "strength". A better requirement would be to require a password NOT to contain any word in an online dictionary, or list of names, or any license plate pattern from any state (in the US) or country (as in the EU). If patterned choices are required, humans are likely to use them in predictable ways, such as capitalizing a letter, adding one or two numbers, and a special character. This predictability means that the increase in password strength is minor when compared to random passwords.
==== NIST Special Publication 800-63-2 ====
[[NIST]] Special Publication 800-63 of June 2004 (revision 2) suggested a scheme to approximate the entropy of human-generated passwords:<ref name=NIST>{{cite web | url = http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf | title = SP 800-63 – Electronic Authentication Guideline | publisher = NIST | accessdate = April 20, 2014 | url-status = dead | archiveurl = https://web.archive.org/web/20040712152833/http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf | archivedate = July 12, 2004 }} {{Webarchive|url=https://web.archive.org/web/20040712152833/http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf |date=July 12, 2004 }}</ref>
Using this scheme, an eight-character human-selected password without upper case characters and non-alphabetic characters OR with either but of the two character sets is estimated to have 18 bits of entropy. The NIST publication concedes that at the time of development, little information was available on the real world selection of passwords. Later research into human-selected password entropy using newly available real world data has demonstrated that the NIST scheme does not provide a valid metric for entropy estimation of human-selected passwords.<ref name=WeirEtAl>{{cite web | url = http://reusablesec.blogspot.com/2010/10/new-paper-on-password-security-metrics.html | title = Testing Metrics for Password Creation Policies by Attacking Large Sets of Revealed Passwords | format = PDF | author1 = Matt Weir | author2 = Susdhir Aggarwal | author3 = Michael Collins | author4 = Henry Stern | date = 7 October 2010 | accessdate = March 21, 2012 | url-status = live | archiveurl = https://web.archive.org/web/20120706124704/http://reusablesec.blogspot.com/2010/10/new-paper-on-password-security-metrics.html | archivedate = July 6, 2012 }}</ref> The June 2017 revision of SP 800-63 (Revision 3) drops this approach.<ref>{{cite web | url = https://pages.nist.gov/800-63-3 | title = SP 800-63-3 – Digital Identity Guidelines | format = PDF | publisher = NIST | date = June 2017 | accessdate = August 6, 2017 | url-status = live | archiveurl = https://web.archive.org/web/20170806142240/https://pages.nist.gov/800-63-3/ | archivedate = August 6, 2017 }}</ref>
===Usability and implementation considerations===
Because national keyboard implementations vary, not all 94 ASCII printable characters can be used everywhere.<!-- The situation of assorted 7-bit ASCII character sets is long and sordid, quite indeterminate, and basically a dog's breakfast. The advent of Unicode / UCS has at least 'settled' what the lowest 128 characters are, though this is not exactly what most of the prior character sets had. --> This can present a problem to an international traveler who wished to log into remote system using a keyboard on a local computer. ''See'' [[List of Latin-script keyboard layouts|''keyboard layout'']]. Many hand held devices, such as [[tablet computer]]s and [[smart phone]]s, require complex shift sequences or keyboard app swapping to enter special characters.
Authentication programs vary in which characters they allow in passwords. Some do not recognize case differences (e.g., the upper-case "E" is considered equivalent to the lower-case "e"), others prohibit some of the other symbols. In the past few decades, systems have permitted more characters in passwords, but limitations still exist. Systems also vary in the maximum length of passwords allowed.
As a practical matter, passwords must be both reasonable and functional for the end user as well as strong enough for the intended purpose. Passwords that are too difficult to remember may be forgotten and so are more likely to be written on paper, which some consider a security risk.<ref name=Gartner>{{cite web | url = http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf | title = Passwords are Near the Breaking Point | publisher = Gartner | author = A. Allan | accessdate = April 10, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20060427032938/http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf | archivedate = April 27, 2006 }} {{Webarchive|url=https://web.archive.org/web/20060427032938/http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf |date=April 27, 2006 }}</ref> In contrast, others argue that forcing users to remember passwords without assistance can only accommodate weak passwords, and thus poses a greater security risk. According to [[Bruce Schneier]], most people are good at securing their wallets or purses, which is a "great place" to store a written password.<ref name=Schneier-writedown>{{cite web | url = http://www.schneier.com/blog/archives/2005/06/write_down_your.html | title = Schneier on Security | work = Write Down Your Password | author = Bruce Schneier | accessdate = April 10, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080413032636/http://www.schneier.com/blog/archives/2005/06/write_down_your.html | archivedate = April 13, 2008 }}</ref>
== Required bits of entropy ==
The minimum number of bits of entropy needed for a password depends on the [[threat model]] for the given application. If [[key stretching]] is not used, passwords with more entropy are needed. RFC 4086, "Randomness Requirements for Security", presents some example threat models and how to calculate the entropy desired for each one.<ref>{{cite IETF | title = Randomness Requirements for Security | rfc = 4086}}</ref> Their answers vary between 29 bits of entropy needed if only online attacks are expected, and up to 96 bits of entropy needed for important cryptographic keys used in applications like encryption where the password or key needs to be secure for a long period of time and stretching isn't applicable. A 2010 [[Georgia Tech Research Institute]] study based on unstretched keys recommended a 12-character random password, but as a minimum length requirement.<ref name="gtri">{{cite web|url=http://www.gtri.gatech.edu/casestudy/Teraflop-Troubles-Power-Graphics-Processing-Units-GPUs-Password-Security-System|title=Teraflop Troubles: The Power of Graphics Processing Units May Threaten the World's Password Security System|publisher=[[Georgia Tech Research Institute]]|accessdate=2010-11-07|url-status=live|archiveurl=https://web.archive.org/web/20101230063449/http://www.gtri.gatech.edu/casestudy/Teraflop-Troubles-Power-Graphics-Processing-Units-GPUs-Password-Security-System|archivedate=2010-12-30}}</ref><ref name="msnbc">{{cite news|url=http://www.nbcnews.com/id/38771772|title=Want to deter hackers? Make your password longer|publisher=[[NBC News]]|date=2010-08-19|accessdate=2010-11-07}}</ref>. Keep in mind that computing power continues to grow, so to prevent offline attacks the required bits of entropy should also increase over time.
The upper end is related to the stringent requirements of choosing keys used in encryption. In 1999, [[EFF DES cracker|an Electronic Frontier Foundation project]] broke 56-bit [[Data Encryption Standard|DES]] encryption in less than a day using specially designed hardware.<ref name=EFF-deep-crack>{{cite web | url = http://w2.eff.org/Privacy/Crypto/Crypto_misc/DESCracker/HTML/19980716_eff_descracker_pressrel.html | title = EFF DES Cracker machine brings honesty to crypto debate | publisher = EFF | accessdate = March 27, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20100101001853/http://w2.eff.org/Privacy/Crypto/Crypto_misc/DESCracker/HTML/19980716_eff_descracker_pressrel.html | archivedate = January 1, 2010 }}</ref> In 2002, ''[[distributed.net]]'' cracked a 64-bit key in 4 years, 9 months, and 23 days.<ref name=distributed>{{cite web | url = http://stats.distributed.net/projects.php?project_id=5 | title = 64-bit key project status | publisher = Distributed.net | accessdate = March 27, 2008 | archive-url = https://web.archive.org/web/20130910051812/http://stats.distributed.net/projects.php?project_id=5 | archive-date = September 10, 2013 | url-status = dead }}</ref> As of October 12, 2011, ''distributed.net'' estimates that cracking a 72-bit key using current hardware will take about 45,579 days or 124.8 years.<ref name=distributed-72>{{cite web | url = http://stats.distributed.net/projects.php?project_id=8 | title = 72-bit key project status | publisher = Distributed.net | accessdate = October 12, 2011 }}</ref> Due to currently understood limitations from fundamental physics, there is no expectation that any [[digital computer]] (or combination) will be capable of breaking 256-bit encryption via a brute-force attack.<ref name=schneier-cyptogram>{{cite web | url = http://www.schneier.com/crypto-gram-9902.html | title = Snakeoil: Warning Sign #5: Ridiculous key lengths | author = Bruce Schneier | accessdate = March 27, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080418225248/http://www.schneier.com/crypto-gram-9902.html | archivedate = April 18, 2008 }}</ref> Whether or not [[quantum computers]] will be able to do so in practice is still unknown, though theoretical analysis suggests such possibilities.<ref>{{cite web |url=https://stackoverflow.com/questions/2768807/quantum-computing-and-encryption-breaking |title=Quantum Computing and Encryption Breaking |publisher=Stack Overflow |date=2011-05-27 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130521043721/http://stackoverflow.com/questions/2768807/quantum-computing-and-encryption-breaking |archivedate=2013-05-21 }}</ref>
== Guidelines for strong passwords ==
=== Common guidelines ===
Guidelines for choosing good passwords are typically designed to make passwords harder to discover by intelligent guessing. Common guidelines advocated by proponents of software system security include:<ref>Microsoft Corporation, [http://www.microsoft.com/protect/yourself/password/create.mspx Strong passwords: How to create and use them] {{webarchive|url=https://web.archive.org/web/20080101132156/http://www.microsoft.com/protect/yourself/password/create.mspx |date=2008-01-01 }}</ref><ref name="schneier07">Bruce Schneier, [http://www.schneier.com/blog/archives/2007/01/choosing_secure.html Choosing Secure Passwords] {{webarchive|url=https://web.archive.org/web/20080223002450/http://www.schneier.com/blog/archives/2007/01/choosing_secure.html |date=2008-02-23 }}</ref><ref>Google, Inc., [https://www.google.com/accounts/PasswordHelp How safe is your password?] {{webarchive|url=https://web.archive.org/web/20080222225549/https://www.google.com/accounts/PasswordHelp |date=2008-02-22 }}</ref><ref name="UMD01">University of Maryland, [http://www.cs.umd.edu/faq/Passwords.shtml Choosing a Good Password] {{webarchive|url=https://web.archive.org/web/20140614022254/http://www.cs.umd.edu/faq/Passwords.shtml |date=2014-06-14 }}</ref><ref name="Bidwell000">{{cite book
| first = Teri
| last = Bidwell
| title = Hack Proofing Your Identity in the Information Age
| url = https://archive.org/details/hackproofingyour0000bidw
| url-access = registration
| publisher = Syngress Publishing
| year = 2002
| isbn = 978-1-931836-51-7
}}</ref>
* Use a minimum password length of 10 or more characters if permitted.
* Include lowercase and uppercase alphabetic characters, numbers and symbols if permitted.
* Generate passwords randomly where feasible.
* Avoid using the same password twice (e.g., across multiple user accounts and/or software systems).
* Avoid character repetition, keyboard patterns, dictionary words, letter or number sequences.
* Avoid using information that is or might become publicly associated with the user or the account, such as username, ancestors' names or dates.
* Avoid using information that the user's colleagues and/or acquaintances might know to be associated with the user, such as relative or pet names, romantic links (current or past) and biographical information (e.g., ID numbers, ancestors' names or dates)..
* Do not use passwords which consist wholly of any simple combination of the aforementioned weak components.
Some guidelines advise against writing passwords down, while others, noting the large numbers of password protected systems users must access, encourage writing down passwords as long as the written password lists are kept in a safe place, not attached to a monitor or in an unlocked desk drawer.<ref name="schneier.com">{{cite web|url=http://www.schneier.com/blog/archives/2005/06/write_down_your.html|title=Write Down Your Password - Schneier on Security|website=www.schneier.com|url-status=live|archiveurl=https://web.archive.org/web/20080413032636/http://www.schneier.com/blog/archives/2005/06/write_down_your.html|archivedate=2008-04-13}}</ref> Use of a [[password manager]] is recommended by the NCSC.<ref name="National Cyber Security Centre">{{cite web|url=https://www.ncsc.gov.uk/blog-post/what-does-ncsc-think-password-managers|title=What does the NCSC think of password managers?|website=www.ncsc.gov.uk|url-status=live|archiveurl=https://web.archive.org/web/20190305053922/https://www.ncsc.gov.uk/blog-post/what-does-ncsc-think-password-managers|archivedate=2019-03-05}}</ref>
The possible character set for a password can be constrained by different web sites or by the range of keyboards on which the password must be entered.<ref>E.g., for a keyboard with only 17 nonalphanumeric characters, see one for a BlackBerry phone in [http://www.hardwaresecrets.com/fullimage.php?image=18705 an enlarged image] {{webarchive|url=https://web.archive.org/web/20110406121058/http://www.hardwaresecrets.com/fullimage.php?image=18705 |date=2011-04-06 }} in support of [http://www.hardwaresecrets.com/article/795/2 Sandy Berger, ''BlackBerry Tour 9630 (Verizon) Cell Phone Review'', in Hardware Secrets (August 31, 2009)] {{webarchive|url=https://web.archive.org/web/20110406121111/http://www.hardwaresecrets.com/article/795/2 |date=April 6, 2011 }}, both as accessed January 19, 2010. That some websites don’t allow nonalphanumerics is indicated by [http://forums.theregister.co.uk/post/527230 Kanhef, ''Idiots, For Different Reasons'' (June 30, 2009) (topic post)] {{webarchive|url=https://web.archive.org/web/20110406121058/http://forums.theregister.co.uk/post/527230 |date=April 6, 2011 }}, as accessed January 20, 2010.</ref>
=== Examples of weak passwords ===
{{See also|Password cracking|List of the most common passwords}}
As with any security measure, passwords vary in effectiveness (i.e., strength); some are weaker than others. For example, the difference in weakness between a dictionary word and a word with obfuscation (i.e., letters in the password are substituted by, say, numbers — a common approach) may cost a password cracking device a few more seconds; this adds little strength. The examples below illustrate various ways weak passwords might be constructed, all of which are based on simple patterns which result in extremely low entropy, allowing them to be tested automatically at high speeds.:<ref name=perfect>{{cite book
| last = Burnett
| first = Mark
| editor = Kleiman, Dave
| title = Perfect Passwords
| publisher = Syngress Publishing
| year = 2006
| location = Rockland, Massachusetts
| isbn = 978-1-59749-041-2
| page = 181
| editor-link = Dave Kleiman }}</ref>
* [[Default password]]s (as supplied by the system vendor and meant to be changed at installation time): ''password'', ''default'', ''admin'', ''guest'', etc. Lists of default passwords are widely available on the internet.
* Dictionary words: ''chameleon'', ''RedSox'', ''sandbags'', ''bunnyhop!'', ''IntenseCrabtree'', etc., including words in non-English dictionaries.
* Words with numbers appended: ''password1'', ''deer2000'', ''john1234'', etc., can be easily tested automatically with little lost time.
* Words with simple obfuscation: ''p@ssw0rd'', ''l33th4x0r'', ''g0ldf1sh'', etc., can be tested automatically with little additional effort. For example, a domain administrator password compromised in the [[DigiNotar]] attack was reportedly ''Pr0d@dm1n.''<ref>{{cite web |url=http://thehackernews.com/2011/09/comodohacker-responsible-for-diginotar.html |title=ComodoHacker responsible for DigiNotar Attack – Hacking News |publisher=Thehackernews.com |date=2011-09-06 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130517204022/http://thehackernews.com/2011/09/comodohacker-responsible-for-diginotar.html |archivedate=2013-05-17 }}</ref>
* Doubled words: ''crabcrab'', ''stopstop'', ''treetree'', ''passpass'', etc.
* Common sequences from a keyboard row: ''qwerty'', ''123456'', ''asdfgh'', ''fred'', etc.
* Numeric sequences based on well known numbers such as 911 <sup>([[9-1-1]], [[September 11 attacks|9/11]])</sup>, 314159... <sup>([[pi]])</sup>, 27182... <sup>([[E (mathematical constant)|e]])</sup>, 112 <sup>([[112 (emergency telephone number)|1-1-2]])</sup>, etc.
* Identifiers: ''jsmith123'', ''1/1/1970'', ''555–1234'', one's username, etc.
* Weak passwords in non-English languages, such as contraseña (Spanish) and ji32k7au4a83 (bopomofo keyboard encoding from Chinese)<ref>{{cite news|url=https://www.iheart.com/content/2019-03-08-heres-why-ji32k7au4a83-is-a-surprisingly-common-password/|title=Here's Why 'ji32k7au4a83' Is A Surprisingly Common Password|accessdate=25 March 2019|date=8 March 2019|author=Dave Basner}}</ref>
* Anything personally related to an individual: license plate number, Social Security number, current or past telephone numbers, student ID, current address, previous addresses, birthday, sports team, relative's or pet's names/nicknames/birthdays/initials, etc., can easily be tested automatically after a simple investigation of a person's details.
* Dates: dates follow a pattern and make your password weak.
There are many other ways a password can be weak,<ref>Bidwell, p. 87</ref> corresponding to the strengths of various attack schemes; the core principle is that a password should have high entropy (usually taken to be equivalent to randomness) and ''not'' be readily derivable by any "clever" pattern, nor should passwords be mixed with information identifying the user. On-line services often provide a restore password function that a hacker can figure out and by doing so bypass a password. Choosing hard-to-guess restore password questions can further secure the password.<ref>{{cite web |url=http://www.lockdown.co.uk/?pg=password_guide |title=Guidelines for choosing a good password |publisher=Lockdown.co.uk |date=2009-07-10 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130326163635/http://www.lockdown.co.uk/?pg=password_guide |archivedate=2013-03-26 }}</ref>
=== Rethinking password change guidelines ===
{{outdated section|reason="standards of today" and processor speeds have both changed significantly since 2012|date=September 2017}}
In December, 2012, [[William Cheswick]] wrote an article published in ACM magazine that included the mathematical possibilities of how easy or difficult it would be to break passwords that are constructed using the commonly recommended, and sometimes followed, standards of today. In his article, William showed that a standard eight character alpha-numeric password could withstand a brute force attack of ten million attempts per second, and remain unbroken for 252 days. Ten million attempts each second is the acceptable rate of attempts using a multi-core system that most users would have access to. A much greater degree of attempts, at the rate of 7 billion per second, could also be achieved when using modern GPUs. At this rate, the same 8 character full alpha-numeric password could be broken in approximately 0.36 days (i.e. 9 hours). Increasing the password complexity to a 13 character full alpha-numeric password increases the time needed to crack it to more than 900,000 years at 7 billion attempts per second. This is, of course, assuming the password does not use a common word that a dictionary attack could break much sooner. Using a password of this strength reduces the obligation to change it as often as many organizations require, including the U.S. Government, as it could not be reasonably broken in such a short period of time.<ref>{{Cite web|url=https://queue.acm.org/detail.cfm?id=2422416|title=HTML version - Rethinking Passwords|last=William|first=Cheswick|date=2012-12-31|website=[[Association for Computing Machinery]] (ACM)|url-status=live|archive-url=https://archive.today/20191103172648/https://queue.acm.org/detail.cfm?id=2422416|archive-date=2019-11-03|access-date=2019-11-03}}</ref><ref>{{Cite journal|url=https://dl.acm.org/citation.cfm?doid=2405116.2422416|title=ACM Digital Library - Rethinking Passwords|last=William|first=Cheswick|date=2012-12-31|journal=Queue|url-status=live|archive-url=https://archive.today/20191103173450/https://dl.acm.org/citation.cfm?doid=2405116.2422416|archive-date=2019-11-03|access-date=2019-11-03}}</ref>
== Password policy ==
{{Main|Password policy}}
A password policy is a guide to choosing satisfactory passwords. It is intended to:
* assist users in choosing strong passwords
* ensure the passwords are suited to the target population
* provide recommendations for users with regard to the handling of their passwords
* impose a requirement to change any password which has been lost or compromised, and perhaps that no password be used longer than a limited time
* (in some cases) prescribe the pattern of characters which passwords must contain
* use a [[Blacklist (computing)#Usernames and passwords|password blacklist]] to block the usage of weak or easily guessed passwords.
For example, password expiration is often covered by password policies. Password expiration serves two purposes:<ref name=LOPSA>{{cite web | url = http://lopsa.org/node/295 | title = In Defense of Password Expiration | publisher = League of Professional Systems Administrators | accessdate = April 14, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20081012063918/http://lopsa.org/node/295 | archivedate = October 12, 2008 }} {{Webarchive|url=https://web.archive.org/web/20081012063918/http://lopsa.org/node/295 |date=October 12, 2008 }}</ref>
* If the time to crack a password is estimated to be 100 days, password expiration times fewer than 100 days may help ensure insufficient time for an attacker.
* If a password has been compromised, requiring it to be changed regularly should limit the access time for the attacker.
However, password expiration has its drawbacks:<ref name=WEB>{{cite web
|url = https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry
|title = The problems with forcing regular password expiry
|date = 15 April 2016
|work = IA Matters
|publisher = CESG: the Information Security Arm of GCHQ
|accessdate = 5 Aug 2016
|url-status = dead
|archiveurl = https://web.archive.org/web/20160817223701/https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry
|archivedate = 17 August 2016
}} {{Webarchive|url=https://web.archive.org/web/20160817223701/https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry |date=17 August 2016 }}</ref><ref name=CERIAS>{{cite web | url = http://www.cerias.purdue.edu/weblogs/spaf/general/post-30/ | title = Security Myths and Passwords | publisher = The Center for Education and Research in Information Assurance and Security | author = Eugene Spafford | accessdate = April 14, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080411123000/http://www.cerias.purdue.edu/weblogs/spaf/general/post-30/ | archivedate = April 11, 2008 }}</ref>
* Asking users to change passwords frequently encourages simple, weak passwords.
* If one has a truly strong password, there is little point in changing it. Changing passwords which are already strong introduces risk that the new password may be less strong.
* A compromised password is likely to be used immediately by an attacker to install a [[backdoor (computing)|backdoor]], often via [[privilege escalation]]. Once this is accomplished, password changes won't prevent future attacker access.
* Moving from never changing one's password to changing the password on every authenticate attempt (pass ''or'' fail attempts) only doubles the number of attempts the attacker must make on average before guessing the password in a brute force attack. One gains ''much'' more security by just increasing the password length by one character than changing the password on every use.
=== Creating and handling passwords ===
The hardest passwords to crack, for a given length and character set, are random character strings; if long enough they resist brute force attacks (because there are many characters) and guessing attacks (due to high entropy). However, such passwords are typically the hardest to remember. The imposition of a requirement for such passwords in a password policy may encourage users to write them down, store them in [[mobile device]]s, or share them with others as a safeguard against memory failure. While some people consider each of these user resorts to increase security risks, others suggest the absurdity of expecting users to remember distinct complex passwords for each of the dozens of accounts they access. For example, in 2005, security expert [[Bruce Schneier]] recommended writing down one's password:
{{Quote|quote=Simply, people can no longer remember passwords good enough to reliably defend against dictionary attacks, and are much more secure if they choose a password too complicated to remember and then write it down. We're all good at securing small pieces of paper. I recommend that people write their passwords down on a small piece of paper, and keep it with their other valuable small pieces of paper: in their wallet.<ref name="schneier.com"/>}}
The following measures may increase acceptance of strong password requirements, if carefully used:
* a training program. Also, updated training for those who fail to follow the password policy (lost passwords, inadequate passwords, etc.).
* rewarding strong password users by reducing the rate, or eliminating altogether, the need for password changes (password expiration). The strength of user-chosen passwords can be estimated by automatic programs which inspect and evaluate proposed passwords, when setting or changing a password.
* displaying to each user the last login date and time in the hope that the user may notice unauthorized access, suggesting a compromised password.
* allowing users to reset their passwords via an automatic system, which reduces help desk call volume. However, some systems are themselves insecure; for instance, easily guessed or researched answers to password reset questions bypass the advantages of a strong password system.
* using randomly generated passwords that do not allow users to choose their own passwords, or at least offering randomly generated passwords as an option.
=== Memory techniques ===
Password policies sometimes suggest [[Memory improvement|memory technique]]s to assist remembering passwords:
* mnemonic passwords: Some users develop [[mnemonic]] phrases and use them to generate more or less random passwords which are nevertheless relatively easy for the user to remember. For instance, the first letter of each word in a memorable phrase. Research estimates the password strength of such passwords to be about 3.7 bits per character, compared to the 6.6 bits for random passwords from ASCII printable characters.<ref>{{cite conference |url=https://www.internetsociety.org/sites/default/files/ndss2017_03A-4_Kiesel_paper.pdf |title=A Large-scale Analysis of the Mnemonic Password Advice |author=Johannes Kiesel |author2=Benno Stein |author3=Stefan Lucks |year=2017 |publisher=Internet Society |booktitle=Proceedings of the 24th Annual Network and Distributed System Security Symposium (NDSS 17) |url-status=dead |archiveurl=https://web.archive.org/web/20170330174637/https://www.internetsociety.org/sites/default/files/ndss2017_03A-4_Kiesel_paper.pdf |archivedate=2017-03-30 |conference= |access-date=2017-03-30 }}</ref> Silly ones are possibly more memorable.<ref>[http://uc.iupui.edu/uploadedFiles/Learning_Center_Site/Mnemonic%20Devices.pdf ''Mnemonic Devices'' (Indianapolis, Ind.: Bepko Learning Ctr., University College)], as accessed January 19, 2010 {{webarchive |url=https://web.archive.org/web/20100610000727/http://uc.iupui.edu/uploadedFiles/Learning_Center_Site/Mnemonic%20Devices.pdf |date=June 10, 2010 }}</ref> Another way to make random-appearing passwords more memorable is to use random words (see [[diceware]]) or syllables instead of randomly chosen letters.
* after-the-fact mnemonics: After the password has been established, invent a mnemonic that fits.<ref>[http://changingminds.org/techniques/memory/remembering_passwords.htm Remembering Passwords (ChangingMinds.org)] {{webarchive|url=http://archive.wikiwix.com/cache/20100121181700/http://changingminds.org/techniques/memory/remembering_passwords.htm |date=2010-01-21 }}, as accessed January 19, 2010</ref> It does not have to be reasonable or sensible, only memorable. This allows passwords to be random.
* visual representations of passwords: a password is memorized based on a sequence of keys pressed, not the values of the keys themselves, e.g. a sequence !qAsdE#2 represents a [[rhomboid]] on a US keyboard. The method to produce such passwords is called PsychoPass;<ref name=":10">{{cite journal | last1 = Cipresso | first1 = P | last2 = Gaggioli | first2 = A | last3 = Serino | first3 = S | last4 = Cipresso | first4 = S | last5 = Riva | first5 = G | year = 2012 | title = How to Create Memorizable and Strong Passwords | journal = J Med Internet Res | volume = 14 | issue = 1| page = e10 | doi = 10.2196/jmir.1906 | pmid = 22233980 | pmc=3846346}}</ref> moreover, such spatially patterned passwords can be improved.<ref>{{cite journal | pmc = 3742392 | pmid=23942458 | doi=10.2196/jmir.2366 | volume=15 | issue=8 | title=Security analysis and improvements to the PsychoPass method. | year=2013 | journal=J Med Internet Res | page=e161 | last1 = Brumen | first1 = B | last2 = Heričko | first2 = M | last3 = Rozman | first3 = I | last4 = Hölbl | first4 = M}}</ref><ref>{{cite web|url=https://blogs.dropbox.com/tech/2012/04/zxcvbn-realistic-password-strength-estimation/|title=zxcvbn: realistic password strength estimation|website=Dropbox Tech Blog|url-status=live|archiveurl=https://web.archive.org/web/20150405131234/https://blogs.dropbox.com/tech/2012/04/zxcvbn-realistic-password-strength-estimation/|archivedate=2015-04-05}}</ref>
* password patterns: Any pattern in a password makes guessing (automated or not) easier and reduces an attacker's work factor.
** For example, passwords of the following case-insensitive form: consonant, vowel, consonant, consonant, vowel, consonant, number, number (for example ''pinray45'') are called Environ passwords.<ref>{{cite book
| first = Ross
| last = Anderson
| year = 2001
| title = Security engineering: A guide to building dependable distributed systems
| url = https://archive.org/details/securityengineer00ande
| url-access = registration
| publisher = John Wiley & Sons, Inc.
| isbn = 978-0470068526
}}</ref> The pattern of alternating vowel and consonant characters was intended to make passwords more likely to be pronounceable and thus more memorable. Unfortunately, such patterns severely reduce the password's [[information entropy]], making [[brute force attack|brute force]] password attacks considerably more efficient. In the UK in October 2005, employees of [[Departments of the United Kingdom Government|the British government]] were advised to use passwords in this form.{{Citation needed|date=January 2012}}
=== Protecting passwords ===
{{how-to|date=March 2013}}
Computer users are generally advised to "never write down a password anywhere, no matter what" and "never use the same password for more than one account."<ref>{{Cite news|url=https://www.telegraph.co.uk/finance/personalfinance/bank-accounts/12149022/Use-the-same-password-for-everything-Youre-fuelling-a-surge-in-current-account-fraud.html|title=Use the same password for everything? You're fuelling a surge in current account fraud|last=Morley|first=Katie|date=2016-02-10|work=Telegraph.co.uk|access-date=2017-05-22|language=en|url-status=live|archiveurl=https://web.archive.org/web/20170513044756/http://www.telegraph.co.uk/finance/personalfinance/bank-accounts/12149022/Use-the-same-password-for-everything-Youre-fuelling-a-surge-in-current-account-fraud.html|archivedate=2017-05-13}}</ref> However, an ordinary computer user may have dozens of password-protected accounts. Users with multiple accounts needing passwords often give up and use the same password for every account. When varied password complexity requirements prevent use of the same (memorable) scheme for producing high-strength passwords, oversimplified passwords will often be created to satisfy irritating and conflicting password requirements.
A [[Microsoft]] expert was quoted as saying at a 2005 security conference: "I claim that password policy should say you should write down your password. I have 68 different passwords. If I am not allowed to write any of them down, guess what I am going to do? I am going to use the same password on every one of them."<ref>[http://www.cnet.com/news/microsoft-security-guru-jot-down-your-passwords/ Microsoft security guru: Jot down your passwords] {{webarchive|url=https://web.archive.org/web/20160205211730/http://www.cnet.com/news/microsoft-security-guru-jot-down-your-passwords/ |date=2016-02-05 }}, ''c\net'' Retrieved on 2016-02-02</ref>
Software is available for popular hand-held computers that can store passwords for numerous accounts in encrypted form. Passwords can be [[Encryption|encrypted]] by hand on paper and remember the encryption method and key.<ref>Simple methods (e.g., [[Rot13|ROT13]] and [[Cipher#Historical ciphers|some other old ciphers]]) may suffice; for more sophisticated hand-methods see [http://www.schneier.com/solitaire.html Bruce Schneier, The Solitaire Encryption Algorithm (May 26, 1999) (ver. 1.2)] {{webarchive|url=https://web.archive.org/web/20151113061059/https://www.schneier.com/solitaire.html |date=November 13, 2015 }}, as accessed January 19, 2010, and [http://www.ibm.com/developerworks/power/library/pa-bigiron5/ Sam Siewert, ''Big Iron Lessons, Part 5: Introduction to Cryptography, From Egypt Through Enigma'' (IBM, July 26, 2005)] {{webarchive|url=https://web.archive.org/web/20100803202847/http://www.ibm.com/developerworks/power/library/pa-bigiron5/ |date=August 3, 2010 }}, as accessed January 19, 2010.</ref>
A single "master" password can be used with software to generate a new password for each application, based on the master password and the application's name. This approach is used by Stanford's PwdHash,<ref>{{cite conference |url=http://crypto.stanford.edu/PwdHash/pwdhash.pdf |title=Stronger Password Authentication Using Browser Extensions |author=Blake Ross |author2=Collin Jackson |author3=Nicholas Miyake |author4=Dan Boneh |author5=John C. Mitchell |year=2005 |publisher=USENIX |booktitle=Proceedings of the 14th Usenix Security Symposium |pages=17–32 |url-status=live |archiveurl=http://archive.wikiwix.com/cache/20120429031741/http://crypto.stanford.edu/PwdHash/pwdhash.pdf |archivedate=2012-04-29 }}</ref> Princeton's Password Multiplier,<ref>{{cite conference |url=http://www.cs.utexas.edu/~bwaters/publications/papers/www2005.pdf |title=A Convenient Method for Securely Managing Passwords |author=J. Alex Halderman |author2=Brent Waters |author3=Edward W. Felten |year=2005 |publisher=ACM |pages=1–9 |url-status=live |archiveurl=https://web.archive.org/web/20160115062049/http://www.cs.utexas.edu/~bwaters/publications/papers/www2005.pdf |archivedate=2016-01-15 |author-link=J. Alex Halderman }}</ref> and other stateless password managers. In this approach, protecting the master password is essential, as all passwords are compromised if the master password is revealed, and lost if the master password is forgotten or misplaced.
==Password managers==
{{Main|Password manager}}
A reasonable compromise for using large numbers of passwords is to record them in a password manager program, which include stand-alone applications, web browser extensions, or a manager built into the operating system. A password manager allows the user to use hundreds of different passwords, and only have to remember a single password, the one which opens the encrypted password database. Needless to say, this single password should be strong and well-protected (not recorded anywhere). Most password managers can automatically create strong passwords using a cryptographically secure [[random password generator]], as well as calculating the entropy of the generated password. A good password manager will provide resistance against attacks such as [[key logging]], clipboard logging and various other memory spying techniques.
==See also==
* [[Keystroke logging]]
* [[Passphrase]]
* [[Phishing]]
* [[Vulnerability (computing)]]
== References ==
{{Reflist|30em}}
== External links ==
* [http://tools.ietf.org/html/rfc4086 RFC 4086: Randomness Requirements for Security]
* [https://web.archive.org/web/20160416035311/http://www.architectingsecurity.com/2010/09/11/password-patterns/ Password Patterns:The next generation dictionary attacks]
{{DEFAULTSORT:Password Strength}}
[[Category:Cryptography]]
[[Category:Password authentication]]<noinclude>
<small>This page was moved from [[:en:Password strength]]. Its edit history can be viewed at [[Password strength/edithistory]]</small></noinclude>
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{{short description|Measure of the effectiveness of a password in resisting guessing and brute-force attacks}}
[[File:KeePass random password.png|thumb|400px|Options menu of the [[random password generation]] tool in [[KeePass]]. Enabling more character subsets raises the strength of generated passwords a small amount, whereas increasing their length raises the strength a large amount.]]
'''Password strength''' is a measure of the effectiveness of a [[password]] against guessing or [[brute-force attack]]s. In its usual form, it estimates how many trials an attacker who does not have direct access to the password would need, on average, to guess it correctly. The strength of a password is a function of length, complexity, and unpredictability.<ref name=CERT>{{cite web | url = http://www.us-cert.gov/cas/tips/ST04-002.html | title = Cyber Security Tip ST04-002 | work = Choosing and Protecting Passwords | publisher = US CERT | accessdate = June 20, 2009 | url-status = live | archiveurl = https://web.archive.org/web/20090707141138/http://www.us-cert.gov/cas/tips/ST04-002.html | archivedate = July 7, 2009 }}</ref>
Using strong passwords lowers overall [[risk]] of a security breach, but strong passwords do not replace the need for other effective [[security controls]]. The effectiveness of a password of a given strength is strongly determined by the design and implementation of the [[Authentication#Factors and identity|factors]] (knowledge, ownership, inherence). The first factor is the main focus in this article.
The rate at which an attacker can submit guessed passwords to the system is a key factor in determining system security. Some systems impose a time-out of several seconds after a small number (e.g. three) of failed password entry attempts. In the absence of other vulnerabilities, such systems can be effectively secured with relatively simple passwords. However, the system must store information about the user's passwords in some form and if that information is stolen, say by breaching system security, the user's passwords can be at risk.
In 2019, the United Kingdom's [[National Cyber Security Centre (United Kingdom)|NCSC]] analysed public databases of breached accounts to see which words, phrases and strings people used. Top of the list was 123456, appearing in more than 23 million passwords. The second-most popular string, 123456789, was not much harder to crack, while the top five included "[[qwerty]]", "password" and 1111111.<ref>{{Cite web|url=https://www.bbc.com/news/technology-47974583|title=Millions using 123456 as password, security study finds|date=21 April 2019|website=BBC News|access-date=24 April 2019}}</ref>
==Password creation==
Passwords are created either automatically (using randomizing equipment) or by a human; the latter case is more common. While the strength of randomly chosen passwords against a [[brute-force attack]] can be calculated with precision, determining the strength of human-generated passwords is challenging.
Typically, humans are asked to choose a password, sometimes guided by suggestions or restricted by a set of rules, when creating a new account for a computer system or Internet Web site. Only rough estimates of strength are possible, since humans tend to follow patterns in such tasks, and those patterns can usually assist an attacker.<ref name=NIST /> In addition, lists of commonly chosen passwords are widely available for use by password guessing programs. Such lists include the numerous online dictionaries for various human languages, breached databases of plaintext and hashed passwords from various online business and social accounts, along with other common passwords. All items in such lists are considered weak, as are passwords that are simple modifications of them. For some decades, investigations of passwords on multi-user computer systems have shown that 40% or more{{Citation needed|date=March 2016}} are readily guessed using only computer programs, and more can be found when information about a particular user is taken into account during the attack.
==Password guess validation==
Systems that use passwords for authentication must have some way to check any password entered to gain access. If the valid passwords are simply stored in a system file or database, an attacker who gains sufficient access to the system will obtain all user passwords, giving the attacker access to all accounts on the attacked system, and possibly other systems where users employ the same or similar passwords. One way to reduce this risk is to store only a [[cryptographic hash]] of each password instead of the password itself. Standard cryptographic hashes, such as the [[Secure Hash Algorithm (disambiguation)|Secure Hash Algorithm]] (SHA) series, are very hard to reverse, so an attacker who gets hold of the hash value cannot directly recover the password. However, knowledge of the hash value lets the attacker quickly test guesses offline. [[Password cracking]] programs are widely available that will test a large number of trial passwords against a purloined cryptographic hash.
Improvements in computing technology keep increasing the rate at which guessed passwords can be tested. For example, in 2010, the [[Georgia Tech Research Institute]] developed a method of using [[GPGPU]] to crack passwords much faster.<ref name="gtri"/> [[Elcomsoft]] invented the usage of common graphic cards for quicker password recovery in August 2007 and soon filed a corresponding patent in the US.<ref name="belenko">{{ cite patent | country=US | number=7929707 | status=patent | title=Use of graphics processors as parallel math co-processors for password recovery | assign1=Elcomsoft Co. Ltd. | inventor= Andrey V. Belenko | gdate=2011-04-19 }}</ref> By 2011, commercial products were available that claimed the ability to test up to 112,000 passwords per second on a standard desktop computer, using a high-end graphics processor for that time.<ref name=elcomsoft>[http://www.elcomsoft.com/eprb.html#gpu Elcomsoft.com] {{webarchive|url=https://web.archive.org/web/20061017173506/http://www.elcomsoft.com/eprb.html |date=2006-10-17 }}, [[ElcomSoft]] Password Recovery Speed table, [[NTLM]] passwords, [[Nvidia Tesla]] S1070 GPU, accessed 2011-02-01</ref> Such a device will crack a 6 letter single-case password in one day. Note that the work can be distributed over many computers for an additional speedup proportional to the number of available computers with comparable GPUs. Special [[key stretching]] hashes are available that take a relatively long time to compute, reducing the rate at which guessing can take place. Although it is considered best practice to use key stretching, many common systems do not.
Another situation where quick guessing is possible is when the password is used to form a [[cryptographic key]]. In such cases, an attacker can quickly check to see if a guessed password successfully decodes encrypted data. For example, one commercial product claims to test 103,000 [[Wi-Fi Protected Access|WPA]] PSK passwords per second.<ref>[http://www.elcomsoft.com/ewsa.html Elcomsoft Wireless Security Auditor, HD5970 GPU] {{webarchive|url=https://web.archive.org/web/20110219131825/http://www.elcomsoft.com/ewsa.html |date=2011-02-19 }} accessed 2011-02-11</ref>
If a password system only stores the hash of the password, an attacker can pre-compute hash values for common passwords variants and for all passwords shorter than a certain length, allowing very rapid recovery of the password once its hash is obtained. Very long lists of pre-computed password hashes can be efficiently stored using [[rainbow tables]]. This method of attack can be foiled by storing a random value, called a [[cryptographic salt]], along with the hash. The salt is combined with the password when computing the hash, so an attacker precomputing a rainbow table would have to store for each password its hash with every possible salt value. This becomes infeasible if the salt has a big enough range, say a 32-bit number. Unfortunately, many authentication systems in common use do not employ salts and rainbow tables are available on the Internet for several such systems.
===Entropy as a measure of password strength===
It is usual in the computer industry to specify password strength in terms of [[information entropy]] which is measured in [[bit]]s and is a concept from [[information theory]]. Instead of the number of guesses needed to find the password with certainty, the [[Binary logarithm|base-2 logarithm]] of that number is given, which is commonly referred to as the number of "entropy bits" in a password, though this is not exactly the same quantity as information entropy.<ref>{{cite conference |url=http://www.isiweb.ee.ethz.ch/archive/massey_pub/pdf/BI633.pdf |title=Guessing and entropy |author=James Massey |authorlink= |year=1994 |publisher=IEEE |pages=204|booktitle=Proceedings of 1994 IEEE International Symposium on Information Theory|author-link=James Massey }}</ref> A password with an entropy of 42 bits calculated in this way would be as strong as a string of 42 bits chosen randomly, for example by a [[fair coin]] toss. Put another way, a password with an entropy of 42 bits would require 2<sup>42</sup> (4,398,046,511,104) attempts to exhaust all possibilities during a [[brute force search]]. Thus, by increasing the entropy of the password by one bit the number of guesses required doubles, making an attacker's task twice as difficult. On average, an attacker will have to try half the possible number of passwords before finding the correct one.<ref name=NIST />
=== Random passwords ===
{{Main|Random password generator}}
Random passwords consist of a string of symbols of specified length taken from some set of symbols using a random selection process in which each symbol is equally likely to be selected. The symbols can be individual characters from a character set (e.g., the [[ASCII]] character set), syllables designed to form pronounceable passwords, or even words from a word list (thus forming a [[passphrase]]).
The strength of random passwords depends on the actual entropy of the underlying number generator; however, these are often not truly random, but pseudorandom. Many publicly available password generators use random number generators found in programming libraries that offer limited entropy. However most modern operating systems offer cryptographically strong random number generators that are suitable for password generation. It is also possible to use ordinary [[dice]] to generate random passwords. ''See [[Random password generator#Stronger methods|stronger methods]].'' Random password programs often have the ability to ensure that the resulting password complies with a local [[password policy]]; for instance, by always producing a mix of letters, numbers and special characters.
For passwords generated by a process that randomly selects a string of symbols of length, ''L'', from a set of ''N'' possible symbols, the number of possible passwords can be found by raising the number of symbols to the power ''L'', i.e. ''N''<sup>''L''</sup>. Increasing either ''L'' or ''N'' will strengthen the generated password. The strength of a random password as measured by the [[information entropy]] is just the [[binary logarithm|base-2 logarithm]] or log<sub>2</sub> of the number of possible passwords, assuming each symbol in the password is produced independently. Thus a random password's information entropy, ''H'', is given by the formula:
{{align|center|
<math>H = \log_2 N^L = L\log_2 N = L {\log N \over \log 2}</math>
}}
where ''N'' is the number of possible symbols and ''L'' is the number of symbols in the password. ''H'' is measured in [[bit]]s.<ref name=NIST/><ref>Schneier, B: ''Applied Cryptography'', 2e, page 233 ff. John Wiley and Sons.</ref> In the last expression, ''log'' can be to any [[Base (exponentiation)|base]].
:{| class="wikitable" style="text-align: right;"
|+ Entropy per symbol for different symbol sets
! Symbol set || Symbol count ''N'' || Entropy per symbol ''H''
|-
| align=left|[[Arabic numerals]] (0–9) (e.g. [[Personal identification number|PIN]]) || 10 || {{Rnd|3.3219280948874|3}} bits
|-
| align=left|[[hexadecimal]] numerals (0–9, A–F) (e.g. [[Wired Equivalent Privacy|WEP]] keys) || 16 || 4.000 bits
|-
| align=left|[[Case sensitivity|Case insensitive]] [[Latin alphabet]] (a–z or A–Z) || 26 || {{Rnd|4.7004397181411|3}} bits
|-
| align=left|Case insensitive [[alphanumeric]] (a–z or A–Z, 0–9) || 36 || {{Rnd|5.1699250014423|3}} bits
|-
| align=left|[[Case sensitivity|Case sensitive]] Latin alphabet (a–z, A–Z) || 52 || {{Rnd|5.7004397181411|3}} bits
|-
| align=left|Case sensitive alphanumeric (a–z, A–Z, 0–9) || 62 || {{Rnd|5.9541963103869|3}} bits
|-
| align=left|All [[Printable characters|ASCII printable characters]] except space || 94 || {{Rnd|6.55458885|3}} bits
|-
| align=left|All [[Latin-1 Supplement|Latin-1 Supplement characters]] || 94 || {{Rnd|6.55458885|3}} bits
|-
| align=left|All [[Printable characters|ASCII printable characters]] || 95 || {{Rnd|6.5698556083309|3}} bits
|-
| align=left|All [[Extended ASCII|extended ASCII printable characters]] || 218 || {{Rnd|7.7681843247769|3}} bits
|-
| align=left|[[Binary number|Binary]] (0–255 or 8 [[bit]]s or 1 [[byte]]) || 256 || {{Rnd|8|3}} bits
|-
| align=left|[[Diceware]] word list || 7776 || {{Rnd|12.924812503606|3}} bits per word
|}
A [[binary number|binary]] [[byte]] is usually expressed using two hexadecimal characters.
To find the length, ''L,'' needed to achieve a desired strength ''H,'' with a password drawn randomly from a set of ''N'' symbols, one computes:
{{align|center|
<math>L = {H \over \log_2 N}</math>
}}
rounded up to the next largest [[natural number|whole number]].
The following table uses this formula to show the required lengths of truly randomly generated passwords to achieve desired password entropies for common symbol sets:
{| class="wikitable"
|+ Lengths ''L'' of truly randomly generated passwords required to achieve a desired password entropy ''H'' for symbol sets containing ''N'' symbols
|-
! rowspan=2|Desired password<br>entropy ''H'' !!rowspan=2| [[Arabic numerals|Arabic<br>numerals]]!!rowspan=2| [[Hexadecimal]] !! colspan=2|[[Case sensitivity|Case insensitive]] !! colspan=2|[[Case sensitivity|Case sensitive]] !! All ASCII !! All [[Extended ASCII|Extended<br>ASCII]] !! rowspan=2|[[Diceware]]<br>word list
|-
! [[Latin alphabet|Latin<br>alphabet]] !![[alphanumeric|alpha-<br>numeric]] !! Latin<br>alphabet !! alpha-<br>numeric !!colspan=2|[[printable characters]]
|-
| 8 bits (1 byte) || 3 || 2 || 2 || 2 || 2 || 2 || 2 || 2 || 1 word
|-
| 32 bits (4 bytes) || 10 || 8 || 7 || 7 || 6 || 6 || 5 || 5 || 3 words
|-
| 40 bits (5 bytes) || 13 || 10 || 9 || 8 || 8 || 7 || 7 || 6 || 4 words
|-
| 64 bits (8 bytes) || 20 || 16 || 14 || 13 || 12 || 11 || 10 || 9 || 5 words
|-
| 80 bits (10 bytes) || 25 || 20 || 18 || 16 || 15 || 14 || 13 || 11 || 7 words
|-
| 96 bits (12 bytes) || 29 || 24 || 21 || 19 || 17 || 17 || 15 || 13 || 8 words
|-
| 128 bits (16 bytes) || 39 || 32 || 28 || 25 || 23 || 22 || 20 || 17 || 10 words
|-
| 160 bits (20 bytes) || 49 || 40 || 35 || 31 || 29 || 27 || 25 || 21 || 13 words
|-
| 192 bits (24 bytes) || 58 || 48 || 41 || 38 || 34 || 33 || 30 || 25 || 15 words
|-
| 224 bits (28 bytes) || 68 || 56 || 48 || 44 || 40 || 38 || 35 || 29 || 18 words
|-
| 256 bits (32 bytes) || 78 || 64 || 55 || 50 || 45 || 43 || 39 || 33 || 20 words
|}
=== Human-generated passwords ===
People are notoriously poor at achieving sufficient entropy to produce satisfactory passwords. According to one study involving half a million users, the average password entropy was estimated at 40.54 bits.<ref>{{cite journal|last1=Florencio|first1=Dinei|last2=Herley|first2=Cormac|title=A Large-Scale Study of Web Password Habits|journal=Proceeds of the International World Wide Web Conference Committee|date=May 8, 2007|url=http://research.microsoft.com/pubs/74164/www2007.pdf|ref=ACM 978-1-59593-654-7/07/0005.|url-status=live|archiveurl=https://web.archive.org/web/20150327031521/http://research.microsoft.com/pubs/74164/www2007.pdf|archivedate=March 27, 2015}}</ref> Some stage magicians exploit this inability for amusement, in a minor way, by divining supposed random choices (of numbers, say) made by audience members.
Thus, in one analysis of over 3 million eight-character passwords, the letter "e" was used over 1.5 million times, while the letter "f" was used only 250,000 times. A [[uniform distribution (discrete)|uniform distribution]] would have had each character being used about 900,000 times. The most common number used is "1", whereas the most common letters are a, e, o, and r.<ref name=perfect />
Users rarely make full use of larger character sets in forming passwords. For example, hacking results obtained from a MySpace phishing scheme in 2006 revealed 34,000 passwords, of which only 8.3% used mixed case, numbers, and symbols.<ref name=myspace-passwords>{{cite news | url = http://archive.wired.com/politics/security/commentary/securitymatters/2006/12/72300?currentPage=all | title = MySpace Passwords aren't so Dumb | author = Bruce Schneier | publisher = Wired Magazine | accessdate = April 11, 2008 | date = December 14, 2006 | url-status = live | archiveurl = https://web.archive.org/web/20140521031354/http://archive.wired.com/politics/security/commentary/securitymatters/2006/12/72300?currentPage=all | archivedate = May 21, 2014 }}</ref>
The full strength associated with using the entire ASCII character set (numerals, mixed case letters and special characters) is only achieved if each possible password is equally likely. This seems to suggest that all passwords must contain characters from each of several character classes, perhaps upper and lower case letters, numbers, and non-alphanumeric characters. In fact, such a requirement is a pattern in password choice and can be expected to reduce an attacker's "work factor" (in Claude Shannon's terms). This is a reduction in password "strength". A better requirement would be to require a password NOT to contain any word in an online dictionary, or list of names, or any license plate pattern from any state (in the US) or country (as in the EU). If patterned choices are required, humans are likely to use them in predictable ways, such as capitalizing a letter, adding one or two numbers, and a special character. This predictability means that the increase in password strength is minor when compared to random passwords.
==== NIST Special Publication 800-63-2 ====
[[NIST]] Special Publication 800-63 of June 2004 (revision 2) suggested a scheme to approximate the entropy of human-generated passwords:<ref name=NIST>{{cite web | url = http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf | title = SP 800-63 – Electronic Authentication Guideline | publisher = NIST | accessdate = April 20, 2014 | url-status = dead | archiveurl = https://web.archive.org/web/20040712152833/http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf | archivedate = July 12, 2004 }} {{Webarchive|url=https://web.archive.org/web/20040712152833/http://csrc.nist.gov/publications/nistpubs/800-63/SP800-63v6_3_3.pdf |date=July 12, 2004 }}</ref>
Using this scheme, an eight-character human-selected password without upper case characters and non-alphabetic characters OR with either but of the two character sets is estimated to have 18 bits of entropy. The NIST publication concedes that at the time of development, little information was available on the real world selection of passwords. Later research into human-selected password entropy using newly available real world data has demonstrated that the NIST scheme does not provide a valid metric for entropy estimation of human-selected passwords.<ref name=WeirEtAl>{{cite web | url = http://reusablesec.blogspot.com/2010/10/new-paper-on-password-security-metrics.html | title = Testing Metrics for Password Creation Policies by Attacking Large Sets of Revealed Passwords | format = PDF | author1 = Matt Weir | author2 = Susdhir Aggarwal | author3 = Michael Collins | author4 = Henry Stern | date = 7 October 2010 | accessdate = March 21, 2012 | url-status = live | archiveurl = https://web.archive.org/web/20120706124704/http://reusablesec.blogspot.com/2010/10/new-paper-on-password-security-metrics.html | archivedate = July 6, 2012 }}</ref> The June 2017 revision of SP 800-63 (Revision 3) drops this approach.<ref>{{cite web | url = https://pages.nist.gov/800-63-3 | title = SP 800-63-3 – Digital Identity Guidelines | format = PDF | publisher = NIST | date = June 2017 | accessdate = August 6, 2017 | url-status = live | archiveurl = https://web.archive.org/web/20170806142240/https://pages.nist.gov/800-63-3/ | archivedate = August 6, 2017 }}</ref>
===Usability and implementation considerations===
Because national keyboard implementations vary, not all 94 ASCII printable characters can be used everywhere.<!-- The situation of assorted 7-bit ASCII character sets is long and sordid, quite indeterminate, and basically a dog's breakfast. The advent of Unicode / UCS has at least 'settled' what the lowest 128 characters are, though this is not exactly what most of the prior character sets had. --> This can present a problem to an international traveler who wished to log into remote system using a keyboard on a local computer. ''See'' [[List of Latin-script keyboard layouts|''keyboard layout'']]. Many hand held devices, such as [[tablet computer]]s and [[smart phone]]s, require complex shift sequences or keyboard app swapping to enter special characters.
Authentication programs vary in which characters they allow in passwords. Some do not recognize case differences (e.g., the upper-case "E" is considered equivalent to the lower-case "e"), others prohibit some of the other symbols. In the past few decades, systems have permitted more characters in passwords, but limitations still exist. Systems also vary in the maximum length of passwords allowed.
As a practical matter, passwords must be both reasonable and functional for the end user as well as strong enough for the intended purpose. Passwords that are too difficult to remember may be forgotten and so are more likely to be written on paper, which some consider a security risk.<ref name=Gartner>{{cite web | url = http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf | title = Passwords are Near the Breaking Point | publisher = Gartner | author = A. Allan | accessdate = April 10, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20060427032938/http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf | archivedate = April 27, 2006 }} {{Webarchive|url=https://web.archive.org/web/20060427032938/http://www.indevis.de/dokumente/gartner_passwords_breakpoint.pdf |date=April 27, 2006 }}</ref> In contrast, others argue that forcing users to remember passwords without assistance can only accommodate weak passwords, and thus poses a greater security risk. According to [[Bruce Schneier]], most people are good at securing their wallets or purses, which is a "great place" to store a written password.<ref name=Schneier-writedown>{{cite web | url = http://www.schneier.com/blog/archives/2005/06/write_down_your.html | title = Schneier on Security | work = Write Down Your Password | author = Bruce Schneier | accessdate = April 10, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080413032636/http://www.schneier.com/blog/archives/2005/06/write_down_your.html | archivedate = April 13, 2008 }}</ref>
== Required bits of entropy ==
The minimum number of bits of entropy needed for a password depends on the [[threat model]] for the given application. If [[key stretching]] is not used, passwords with more entropy are needed. RFC 4086, "Randomness Requirements for Security", presents some example threat models and how to calculate the entropy desired for each one.<ref>{{cite IETF | title = Randomness Requirements for Security | rfc = 4086}}</ref> Their answers vary between 29 bits of entropy needed if only online attacks are expected, and up to 96 bits of entropy needed for important cryptographic keys used in applications like encryption where the password or key needs to be secure for a long period of time and stretching isn't applicable. A 2010 [[Georgia Tech Research Institute]] study based on unstretched keys recommended a 12-character random password, but as a minimum length requirement.<ref name="gtri">{{cite web|url=http://www.gtri.gatech.edu/casestudy/Teraflop-Troubles-Power-Graphics-Processing-Units-GPUs-Password-Security-System|title=Teraflop Troubles: The Power of Graphics Processing Units May Threaten the World's Password Security System|publisher=[[Georgia Tech Research Institute]]|accessdate=2010-11-07|url-status=live|archiveurl=https://web.archive.org/web/20101230063449/http://www.gtri.gatech.edu/casestudy/Teraflop-Troubles-Power-Graphics-Processing-Units-GPUs-Password-Security-System|archivedate=2010-12-30}}</ref><ref name="msnbc">{{cite news|url=http://www.nbcnews.com/id/38771772|title=Want to deter hackers? Make your password longer|publisher=[[NBC News]]|date=2010-08-19|accessdate=2010-11-07}}</ref>. Keep in mind that computing power continues to grow, so to prevent offline attacks the required bits of entropy should also increase over time.
The upper end is related to the stringent requirements of choosing keys used in encryption. In 1999, [[EFF DES cracker|an Electronic Frontier Foundation project]] broke 56-bit [[Data Encryption Standard|DES]] encryption in less than a day using specially designed hardware.<ref name=EFF-deep-crack>{{cite web | url = http://w2.eff.org/Privacy/Crypto/Crypto_misc/DESCracker/HTML/19980716_eff_descracker_pressrel.html | title = EFF DES Cracker machine brings honesty to crypto debate | publisher = EFF | accessdate = March 27, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20100101001853/http://w2.eff.org/Privacy/Crypto/Crypto_misc/DESCracker/HTML/19980716_eff_descracker_pressrel.html | archivedate = January 1, 2010 }}</ref> In 2002, ''[[distributed.net]]'' cracked a 64-bit key in 4 years, 9 months, and 23 days.<ref name=distributed>{{cite web | url = http://stats.distributed.net/projects.php?project_id=5 | title = 64-bit key project status | publisher = Distributed.net | accessdate = March 27, 2008 | archive-url = https://web.archive.org/web/20130910051812/http://stats.distributed.net/projects.php?project_id=5 | archive-date = September 10, 2013 | url-status = dead }}</ref> As of October 12, 2011, ''distributed.net'' estimates that cracking a 72-bit key using current hardware will take about 45,579 days or 124.8 years.<ref name=distributed-72>{{cite web | url = http://stats.distributed.net/projects.php?project_id=8 | title = 72-bit key project status | publisher = Distributed.net | accessdate = October 12, 2011 }}</ref> Due to currently understood limitations from fundamental physics, there is no expectation that any [[digital computer]] (or combination) will be capable of breaking 256-bit encryption via a brute-force attack.<ref name=schneier-cyptogram>{{cite web | url = http://www.schneier.com/crypto-gram-9902.html | title = Snakeoil: Warning Sign #5: Ridiculous key lengths | author = Bruce Schneier | accessdate = March 27, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080418225248/http://www.schneier.com/crypto-gram-9902.html | archivedate = April 18, 2008 }}</ref> Whether or not [[quantum computers]] will be able to do so in practice is still unknown, though theoretical analysis suggests such possibilities.<ref>{{cite web |url=https://stackoverflow.com/questions/2768807/quantum-computing-and-encryption-breaking |title=Quantum Computing and Encryption Breaking |publisher=Stack Overflow |date=2011-05-27 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130521043721/http://stackoverflow.com/questions/2768807/quantum-computing-and-encryption-breaking |archivedate=2013-05-21 }}</ref>
== Guidelines for strong passwords ==
=== Common guidelines ===
Guidelines for choosing good passwords are typically designed to make passwords harder to discover by intelligent guessing. Common guidelines advocated by proponents of software system security include:<ref>Microsoft Corporation, [http://www.microsoft.com/protect/yourself/password/create.mspx Strong passwords: How to create and use them] {{webarchive|url=https://web.archive.org/web/20080101132156/http://www.microsoft.com/protect/yourself/password/create.mspx |date=2008-01-01 }}</ref><ref name="schneier07">Bruce Schneier, [http://www.schneier.com/blog/archives/2007/01/choosing_secure.html Choosing Secure Passwords] {{webarchive|url=https://web.archive.org/web/20080223002450/http://www.schneier.com/blog/archives/2007/01/choosing_secure.html |date=2008-02-23 }}</ref><ref>Google, Inc., [https://www.google.com/accounts/PasswordHelp How safe is your password?] {{webarchive|url=https://web.archive.org/web/20080222225549/https://www.google.com/accounts/PasswordHelp |date=2008-02-22 }}</ref><ref name="UMD01">University of Maryland, [http://www.cs.umd.edu/faq/Passwords.shtml Choosing a Good Password] {{webarchive|url=https://web.archive.org/web/20140614022254/http://www.cs.umd.edu/faq/Passwords.shtml |date=2014-06-14 }}</ref><ref name="Bidwell000">{{cite book
| first = Teri
| last = Bidwell
| title = Hack Proofing Your Identity in the Information Age
| url = https://archive.org/details/hackproofingyour0000bidw
| url-access = registration
| publisher = Syngress Publishing
| year = 2002
| isbn = 978-1-931836-51-7
}}</ref>
* Use a minimum password length of 10 or more characters if permitted.
* Include lowercase and uppercase alphabetic characters, numbers and symbols if permitted.
* Generate passwords randomly where feasible.
* Avoid using the same password twice (e.g., across multiple user accounts and/or software systems).
* Avoid character repetition, keyboard patterns, dictionary words, letter or number sequences.
* Avoid using information that is or might become publicly associated with the user or the account, such as username, ancestors' names or dates.
* Avoid using information that the user's colleagues and/or acquaintances might know to be associated with the user, such as relative or pet names, romantic links (current or past) and biographical information (e.g., ID numbers, ancestors' names or dates)..
* Do not use passwords which consist wholly of any simple combination of the aforementioned weak components.
Some guidelines advise against writing passwords down, while others, noting the large numbers of password protected systems users must access, encourage writing down passwords as long as the written password lists are kept in a safe place, not attached to a monitor or in an unlocked desk drawer.<ref name="schneier.com">{{cite web|url=http://www.schneier.com/blog/archives/2005/06/write_down_your.html|title=Write Down Your Password - Schneier on Security|website=www.schneier.com|url-status=live|archiveurl=https://web.archive.org/web/20080413032636/http://www.schneier.com/blog/archives/2005/06/write_down_your.html|archivedate=2008-04-13}}</ref> Use of a [[password manager]] is recommended by the NCSC.<ref name="National Cyber Security Centre">{{cite web|url=https://www.ncsc.gov.uk/blog-post/what-does-ncsc-think-password-managers|title=What does the NCSC think of password managers?|website=www.ncsc.gov.uk|url-status=live|archiveurl=https://web.archive.org/web/20190305053922/https://www.ncsc.gov.uk/blog-post/what-does-ncsc-think-password-managers|archivedate=2019-03-05}}</ref>
The possible character set for a password can be constrained by different web sites or by the range of keyboards on which the password must be entered.<ref>E.g., for a keyboard with only 17 nonalphanumeric characters, see one for a BlackBerry phone in [http://www.hardwaresecrets.com/fullimage.php?image=18705 an enlarged image] {{webarchive|url=https://web.archive.org/web/20110406121058/http://www.hardwaresecrets.com/fullimage.php?image=18705 |date=2011-04-06 }} in support of [http://www.hardwaresecrets.com/article/795/2 Sandy Berger, ''BlackBerry Tour 9630 (Verizon) Cell Phone Review'', in Hardware Secrets (August 31, 2009)] {{webarchive|url=https://web.archive.org/web/20110406121111/http://www.hardwaresecrets.com/article/795/2 |date=April 6, 2011 }}, both as accessed January 19, 2010. That some websites don’t allow nonalphanumerics is indicated by [http://forums.theregister.co.uk/post/527230 Kanhef, ''Idiots, For Different Reasons'' (June 30, 2009) (topic post)] {{webarchive|url=https://web.archive.org/web/20110406121058/http://forums.theregister.co.uk/post/527230 |date=April 6, 2011 }}, as accessed January 20, 2010.</ref>
=== Examples of weak passwords ===
{{See also|Password cracking|List of the most common passwords}}
As with any security measure, passwords vary in effectiveness (i.e., strength); some are weaker than others. For example, the difference in weakness between a dictionary word and a word with obfuscation (i.e., letters in the password are substituted by, say, numbers — a common approach) may cost a password cracking device a few more seconds; this adds little strength. The examples below illustrate various ways weak passwords might be constructed, all of which are based on simple patterns which result in extremely low entropy, allowing them to be tested automatically at high speeds.:<ref name=perfect>{{cite book
| last = Burnett
| first = Mark
| editor = Kleiman, Dave
| title = Perfect Passwords
| publisher = Syngress Publishing
| year = 2006
| location = Rockland, Massachusetts
| isbn = 978-1-59749-041-2
| page = 181
| editor-link = Dave Kleiman }}</ref>
* [[Default password]]s (as supplied by the system vendor and meant to be changed at installation time): ''password'', ''default'', ''admin'', ''guest'', etc. Lists of default passwords are widely available on the internet.
* Dictionary words: ''chameleon'', ''RedSox'', ''sandbags'', ''bunnyhop!'', ''IntenseCrabtree'', etc., including words in non-English dictionaries.
* Words with numbers appended: ''password1'', ''deer2000'', ''john1234'', etc., can be easily tested automatically with little lost time.
* Words with simple obfuscation: ''p@ssw0rd'', ''l33th4x0r'', ''g0ldf1sh'', etc., can be tested automatically with little additional effort. For example, a domain administrator password compromised in the [[DigiNotar]] attack was reportedly ''Pr0d@dm1n.''<ref>{{cite web |url=http://thehackernews.com/2011/09/comodohacker-responsible-for-diginotar.html |title=ComodoHacker responsible for DigiNotar Attack – Hacking News |publisher=Thehackernews.com |date=2011-09-06 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130517204022/http://thehackernews.com/2011/09/comodohacker-responsible-for-diginotar.html |archivedate=2013-05-17 }}</ref>
* Doubled words: ''crabcrab'', ''stopstop'', ''treetree'', ''passpass'', etc.
* Common sequences from a keyboard row: ''qwerty'', ''123456'', ''asdfgh'', ''fred'', etc.
* Numeric sequences based on well known numbers such as 911 <sup>([[9-1-1]], [[September 11 attacks|9/11]])</sup>, 314159... <sup>([[pi]])</sup>, 27182... <sup>([[E (mathematical constant)|e]])</sup>, 112 <sup>([[112 (emergency telephone number)|1-1-2]])</sup>, etc.
* Identifiers: ''jsmith123'', ''1/1/1970'', ''555–1234'', one's username, etc.
* Weak passwords in non-English languages, such as contraseña (Spanish) and ji32k7au4a83 (bopomofo keyboard encoding from Chinese)<ref>{{cite news|url=https://www.iheart.com/content/2019-03-08-heres-why-ji32k7au4a83-is-a-surprisingly-common-password/|title=Here's Why 'ji32k7au4a83' Is A Surprisingly Common Password|accessdate=25 March 2019|date=8 March 2019|author=Dave Basner}}</ref>
* Anything personally related to an individual: license plate number, Social Security number, current or past telephone numbers, student ID, current address, previous addresses, birthday, sports team, relative's or pet's names/nicknames/birthdays/initials, etc., can easily be tested automatically after a simple investigation of a person's details.
* Dates: dates follow a pattern and make your password weak.
There are many other ways a password can be weak,<ref>Bidwell, p. 87</ref> corresponding to the strengths of various attack schemes; the core principle is that a password should have high entropy (usually taken to be equivalent to randomness) and ''not'' be readily derivable by any "clever" pattern, nor should passwords be mixed with information identifying the user. On-line services often provide a restore password function that a hacker can figure out and by doing so bypass a password. Choosing hard-to-guess restore password questions can further secure the password.<ref>{{cite web |url=http://www.lockdown.co.uk/?pg=password_guide |title=Guidelines for choosing a good password |publisher=Lockdown.co.uk |date=2009-07-10 |accessdate=2013-03-17 |url-status=live |archiveurl=https://web.archive.org/web/20130326163635/http://www.lockdown.co.uk/?pg=password_guide |archivedate=2013-03-26 }}</ref>
=== Rethinking password change guidelines ===
{{outdated section|reason="standards of today" and processor speeds have both changed significantly since 2012|date=September 2017}}
In December, 2012, [[William Cheswick]] wrote an article published in ACM magazine that included the mathematical possibilities of how easy or difficult it would be to break passwords that are constructed using the commonly recommended, and sometimes followed, standards of today. In his article, William showed that a standard eight character alpha-numeric password could withstand a brute force attack of ten million attempts per second, and remain unbroken for 252 days. Ten million attempts each second is the acceptable rate of attempts using a multi-core system that most users would have access to. A much greater degree of attempts, at the rate of 7 billion per second, could also be achieved when using modern GPUs. At this rate, the same 8 character full alpha-numeric password could be broken in approximately 0.36 days (i.e. 9 hours). Increasing the password complexity to a 13 character full alpha-numeric password increases the time needed to crack it to more than 900,000 years at 7 billion attempts per second. This is, of course, assuming the password does not use a common word that a dictionary attack could break much sooner. Using a password of this strength reduces the obligation to change it as often as many organizations require, including the U.S. Government, as it could not be reasonably broken in such a short period of time.<ref>{{Cite web|url=https://queue.acm.org/detail.cfm?id=2422416|title=HTML version - Rethinking Passwords|last=William|first=Cheswick|date=2012-12-31|website=[[Association for Computing Machinery]] (ACM)|url-status=live|archive-url=https://archive.today/20191103172648/https://queue.acm.org/detail.cfm?id=2422416|archive-date=2019-11-03|access-date=2019-11-03}}</ref><ref>{{Cite journal|url=https://dl.acm.org/citation.cfm?doid=2405116.2422416|title=ACM Digital Library - Rethinking Passwords|last=William|first=Cheswick|date=2012-12-31|journal=Queue|url-status=live|archive-url=https://archive.today/20191103173450/https://dl.acm.org/citation.cfm?doid=2405116.2422416|archive-date=2019-11-03|access-date=2019-11-03}}</ref>
== Password policy ==
{{Main|Password policy}}
A password policy is a guide to choosing satisfactory passwords. It is intended to:
* assist users in choosing strong passwords
* ensure the passwords are suited to the target population
* provide recommendations for users with regard to the handling of their passwords
* impose a requirement to change any password which has been lost or compromised, and perhaps that no password be used longer than a limited time
* (in some cases) prescribe the pattern of characters which passwords must contain
* use a [[Blacklist (computing)#Usernames and passwords|password blacklist]] to block the usage of weak or easily guessed passwords.
For example, password expiration is often covered by password policies. Password expiration serves two purposes:<ref name=LOPSA>{{cite web | url = http://lopsa.org/node/295 | title = In Defense of Password Expiration | publisher = League of Professional Systems Administrators | accessdate = April 14, 2008 | url-status = dead | archiveurl = https://web.archive.org/web/20081012063918/http://lopsa.org/node/295 | archivedate = October 12, 2008 }} {{Webarchive|url=https://web.archive.org/web/20081012063918/http://lopsa.org/node/295 |date=October 12, 2008 }}</ref>
* If the time to crack a password is estimated to be 100 days, password expiration times fewer than 100 days may help ensure insufficient time for an attacker.
* If a password has been compromised, requiring it to be changed regularly should limit the access time for the attacker.
However, password expiration has its drawbacks:<ref name=WEB>{{cite web
|url = https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry
|title = The problems with forcing regular password expiry
|date = 15 April 2016
|work = IA Matters
|publisher = CESG: the Information Security Arm of GCHQ
|accessdate = 5 Aug 2016
|url-status = dead
|archiveurl = https://web.archive.org/web/20160817223701/https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry
|archivedate = 17 August 2016
}} {{Webarchive|url=https://web.archive.org/web/20160817223701/https://www.cesg.gov.uk/articles/problems-forcing-regular-password-expiry |date=17 August 2016 }}</ref><ref name=CERIAS>{{cite web | url = http://www.cerias.purdue.edu/weblogs/spaf/general/post-30/ | title = Security Myths and Passwords | publisher = The Center for Education and Research in Information Assurance and Security | author = Eugene Spafford | accessdate = April 14, 2008 | url-status = live | archiveurl = https://web.archive.org/web/20080411123000/http://www.cerias.purdue.edu/weblogs/spaf/general/post-30/ | archivedate = April 11, 2008 }}</ref>
* Asking users to change passwords frequently encourages simple, weak passwords.
* If one has a truly strong password, there is little point in changing it. Changing passwords which are already strong introduces risk that the new password may be less strong.
* A compromised password is likely to be used immediately by an attacker to install a [[backdoor (computing)|backdoor]], often via [[privilege escalation]]. Once this is accomplished, password changes won't prevent future attacker access.
* Moving from never changing one's password to changing the password on every authenticate attempt (pass ''or'' fail attempts) only doubles the number of attempts the attacker must make on average before guessing the password in a brute force attack. One gains ''much'' more security by just increasing the password length by one character than changing the password on every use.
=== Creating and handling passwords ===
The hardest passwords to crack, for a given length and character set, are random character strings; if long enough they resist brute force attacks (because there are many characters) and guessing attacks (due to high entropy). However, such passwords are typically the hardest to remember. The imposition of a requirement for such passwords in a password policy may encourage users to write them down, store them in [[mobile device]]s, or share them with others as a safeguard against memory failure. While some people consider each of these user resorts to increase security risks, others suggest the absurdity of expecting users to remember distinct complex passwords for each of the dozens of accounts they access. For example, in 2005, security expert [[Bruce Schneier]] recommended writing down one's password:
{{Quote|quote=Simply, people can no longer remember passwords good enough to reliably defend against dictionary attacks, and are much more secure if they choose a password too complicated to remember and then write it down. We're all good at securing small pieces of paper. I recommend that people write their passwords down on a small piece of paper, and keep it with their other valuable small pieces of paper: in their wallet.<ref name="schneier.com"/>}}
The following measures may increase acceptance of strong password requirements, if carefully used:
* a training program. Also, updated training for those who fail to follow the password policy (lost passwords, inadequate passwords, etc.).
* rewarding strong password users by reducing the rate, or eliminating altogether, the need for password changes (password expiration). The strength of user-chosen passwords can be estimated by automatic programs which inspect and evaluate proposed passwords, when setting or changing a password.
* displaying to each user the last login date and time in the hope that the user may notice unauthorized access, suggesting a compromised password.
* allowing users to reset their passwords via an automatic system, which reduces help desk call volume. However, some systems are themselves insecure; for instance, easily guessed or researched answers to password reset questions bypass the advantages of a strong password system.
* using randomly generated passwords that do not allow users to choose their own passwords, or at least offering randomly generated passwords as an option.
=== Memory techniques ===
Password policies sometimes suggest [[Memory improvement|memory technique]]s to assist remembering passwords:
* mnemonic passwords: Some users develop [[mnemonic]] phrases and use them to generate more or less random passwords which are nevertheless relatively easy for the user to remember. For instance, the first letter of each word in a memorable phrase. Research estimates the password strength of such passwords to be about 3.7 bits per character, compared to the 6.6 bits for random passwords from ASCII printable characters.<ref>{{cite conference |url=https://www.internetsociety.org/sites/default/files/ndss2017_03A-4_Kiesel_paper.pdf |title=A Large-scale Analysis of the Mnemonic Password Advice |author=Johannes Kiesel |author2=Benno Stein |author3=Stefan Lucks |year=2017 |publisher=Internet Society |booktitle=Proceedings of the 24th Annual Network and Distributed System Security Symposium (NDSS 17) |url-status=dead |archiveurl=https://web.archive.org/web/20170330174637/https://www.internetsociety.org/sites/default/files/ndss2017_03A-4_Kiesel_paper.pdf |archivedate=2017-03-30 |conference= |access-date=2017-03-30 }}</ref> Silly ones are possibly more memorable.<ref>[http://uc.iupui.edu/uploadedFiles/Learning_Center_Site/Mnemonic%20Devices.pdf ''Mnemonic Devices'' (Indianapolis, Ind.: Bepko Learning Ctr., University College)], as accessed January 19, 2010 {{webarchive |url=https://web.archive.org/web/20100610000727/http://uc.iupui.edu/uploadedFiles/Learning_Center_Site/Mnemonic%20Devices.pdf |date=June 10, 2010 }}</ref> Another way to make random-appearing passwords more memorable is to use random words (see [[diceware]]) or syllables instead of randomly chosen letters.
* after-the-fact mnemonics: After the password has been established, invent a mnemonic that fits.<ref>[http://changingminds.org/techniques/memory/remembering_passwords.htm Remembering Passwords (ChangingMinds.org)] {{webarchive|url=http://archive.wikiwix.com/cache/20100121181700/http://changingminds.org/techniques/memory/remembering_passwords.htm |date=2010-01-21 }}, as accessed January 19, 2010</ref> It does not have to be reasonable or sensible, only memorable. This allows passwords to be random.
* visual representations of passwords: a password is memorized based on a sequence of keys pressed, not the values of the keys themselves, e.g. a sequence !qAsdE#2 represents a [[rhomboid]] on a US keyboard. The method to produce such passwords is called PsychoPass;<ref name=":10">{{cite journal | last1 = Cipresso | first1 = P | last2 = Gaggioli | first2 = A | last3 = Serino | first3 = S | last4 = Cipresso | first4 = S | last5 = Riva | first5 = G | year = 2012 | title = How to Create Memorizable and Strong Passwords | journal = J Med Internet Res | volume = 14 | issue = 1| page = e10 | doi = 10.2196/jmir.1906 | pmid = 22233980 | pmc=3846346}}</ref> moreover, such spatially patterned passwords can be improved.<ref>{{cite journal | pmc = 3742392 | pmid=23942458 | doi=10.2196/jmir.2366 | volume=15 | issue=8 | title=Security analysis and improvements to the PsychoPass method. | year=2013 | journal=J Med Internet Res | page=e161 | last1 = Brumen | first1 = B | last2 = Heričko | first2 = M | last3 = Rozman | first3 = I | last4 = Hölbl | first4 = M}}</ref><ref>{{cite web|url=https://blogs.dropbox.com/tech/2012/04/zxcvbn-realistic-password-strength-estimation/|title=zxcvbn: realistic password strength estimation|website=Dropbox Tech Blog|url-status=live|archiveurl=https://web.archive.org/web/20150405131234/https://blogs.dropbox.com/tech/2012/04/zxcvbn-realistic-password-strength-estimation/|archivedate=2015-04-05}}</ref>
* password patterns: Any pattern in a password makes guessing (automated or not) easier and reduces an attacker's work factor.
** For example, passwords of the following case-insensitive form: consonant, vowel, consonant, consonant, vowel, consonant, number, number (for example ''pinray45'') are called Environ passwords.<ref>{{cite book
| first = Ross
| last = Anderson
| year = 2001
| title = Security engineering: A guide to building dependable distributed systems
| url = https://archive.org/details/securityengineer00ande
| url-access = registration
| publisher = John Wiley & Sons, Inc.
| isbn = 978-0470068526
}}</ref> The pattern of alternating vowel and consonant characters was intended to make passwords more likely to be pronounceable and thus more memorable. Unfortunately, such patterns severely reduce the password's [[information entropy]], making [[brute force attack|brute force]] password attacks considerably more efficient. In the UK in October 2005, employees of [[Departments of the United Kingdom Government|the British government]] were advised to use passwords in this form.{{Citation needed|date=January 2012}}
=== Protecting passwords ===
{{how-to|date=March 2013}}
Computer users are generally advised to "never write down a password anywhere, no matter what" and "never use the same password for more than one account."<ref>{{Cite news|url=https://www.telegraph.co.uk/finance/personalfinance/bank-accounts/12149022/Use-the-same-password-for-everything-Youre-fuelling-a-surge-in-current-account-fraud.html|title=Use the same password for everything? You're fuelling a surge in current account fraud|last=Morley|first=Katie|date=2016-02-10|work=Telegraph.co.uk|access-date=2017-05-22|language=en|url-status=live|archiveurl=https://web.archive.org/web/20170513044756/http://www.telegraph.co.uk/finance/personalfinance/bank-accounts/12149022/Use-the-same-password-for-everything-Youre-fuelling-a-surge-in-current-account-fraud.html|archivedate=2017-05-13}}</ref> However, an ordinary computer user may have dozens of password-protected accounts. Users with multiple accounts needing passwords often give up and use the same password for every account. When varied password complexity requirements prevent use of the same (memorable) scheme for producing high-strength passwords, oversimplified passwords will often be created to satisfy irritating and conflicting password requirements.
A [[Microsoft]] expert was quoted as saying at a 2005 security conference: "I claim that password policy should say you should write down your password. I have 68 different passwords. If I am not allowed to write any of them down, guess what I am going to do? I am going to use the same password on every one of them."<ref>[http://www.cnet.com/news/microsoft-security-guru-jot-down-your-passwords/ Microsoft security guru: Jot down your passwords] {{webarchive|url=https://web.archive.org/web/20160205211730/http://www.cnet.com/news/microsoft-security-guru-jot-down-your-passwords/ |date=2016-02-05 }}, ''c\net'' Retrieved on 2016-02-02</ref>
Software is available for popular hand-held computers that can store passwords for numerous accounts in encrypted form. Passwords can be [[Encryption|encrypted]] by hand on paper and remember the encryption method and key.<ref>Simple methods (e.g., [[Rot13|ROT13]] and [[Cipher#Historical ciphers|some other old ciphers]]) may suffice; for more sophisticated hand-methods see [http://www.schneier.com/solitaire.html Bruce Schneier, The Solitaire Encryption Algorithm (May 26, 1999) (ver. 1.2)] {{webarchive|url=https://web.archive.org/web/20151113061059/https://www.schneier.com/solitaire.html |date=November 13, 2015 }}, as accessed January 19, 2010, and [http://www.ibm.com/developerworks/power/library/pa-bigiron5/ Sam Siewert, ''Big Iron Lessons, Part 5: Introduction to Cryptography, From Egypt Through Enigma'' (IBM, July 26, 2005)] {{webarchive|url=https://web.archive.org/web/20100803202847/http://www.ibm.com/developerworks/power/library/pa-bigiron5/ |date=August 3, 2010 }}, as accessed January 19, 2010.</ref>
A single "master" password can be used with software to generate a new password for each application, based on the master password and the application's name. This approach is used by Stanford's PwdHash,<ref>{{cite conference |url=http://crypto.stanford.edu/PwdHash/pwdhash.pdf |title=Stronger Password Authentication Using Browser Extensions |author=Blake Ross |author2=Collin Jackson |author3=Nicholas Miyake |author4=Dan Boneh |author5=John C. Mitchell |year=2005 |publisher=USENIX |booktitle=Proceedings of the 14th Usenix Security Symposium |pages=17–32 |url-status=live |archiveurl=http://archive.wikiwix.com/cache/20120429031741/http://crypto.stanford.edu/PwdHash/pwdhash.pdf |archivedate=2012-04-29 }}</ref> Princeton's Password Multiplier,<ref>{{cite conference |url=http://www.cs.utexas.edu/~bwaters/publications/papers/www2005.pdf |title=A Convenient Method for Securely Managing Passwords |author=J. Alex Halderman |author2=Brent Waters |author3=Edward W. Felten |year=2005 |publisher=ACM |pages=1–9 |url-status=live |archiveurl=https://web.archive.org/web/20160115062049/http://www.cs.utexas.edu/~bwaters/publications/papers/www2005.pdf |archivedate=2016-01-15 |author-link=J. Alex Halderman }}</ref> and other stateless password managers. In this approach, protecting the master password is essential, as all passwords are compromised if the master password is revealed, and lost if the master password is forgotten or misplaced.
==Password managers==
{{Main|Password manager}}
A reasonable compromise for using large numbers of passwords is to record them in a password manager program, which include stand-alone applications, web browser extensions, or a manager built into the operating system. A password manager allows the user to use hundreds of different passwords, and only have to remember a single password, the one which opens the encrypted password database. Needless to say, this single password should be strong and well-protected (not recorded anywhere). Most password managers can automatically create strong passwords using a cryptographically secure [[random password generator]], as well as calculating the entropy of the generated password. A good password manager will provide resistance against attacks such as [[key logging]], clipboard logging and various other memory spying techniques.
==See also==
* [[Keystroke logging]]
* [[Passphrase]]
* [[Phishing]]
* [[Vulnerability (computing)]]
== References ==
{{Reflist|30em}}
== External links ==
* [http://tools.ietf.org/html/rfc4086 RFC 4086: Randomness Requirements for Security]
* [https://web.archive.org/web/20160416035311/http://www.architectingsecurity.com/2010/09/11/password-patterns/ Password Patterns:The next generation dictionary attacks]
{{DEFAULTSORT:Password Strength}}
[[Category:Cryptography]]
[[Category:Password authentication]]<noinclude>
<small>This page was moved from [[:en:Password strength]]. Its edit history can be viewed at [[Password strength/edithistory]]</small></noinclude>
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2025-07-04T11:47:55Z
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removeSection(sectionNumber, sectionTitle, reason);
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'''Raspad Svetoga Rimskog Carstva''' ([[Earthling]]) službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref name="Britannica: End of the HRE">{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref name="Proleksis: Njemačka">{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref name="Britannica: End of the HRE" /> i [[Rimsko-njemački car|titule]].<<ref name="HE: Njemačka">{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref name="Dugački">{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref name="HE: Franjo I.">{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref name="GHDI: Francis II">{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref name="HLB: Ende des Alten Reiches">{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref name="Bbritannica: End of the HRE">{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref name="Prorleksis: Njemačka">{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref name="Britannica: End of the HRE" /> i [[Rimsko-njemački car|titule]].<<ref name="HE: mNjemačka">{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref name="dDugački">{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref name="HeE: Franjo I.">{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref name="GHeDI: Francis II">{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref name="HLBf: Ende des Alten Reiches">{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
Službeno se dogodio [[6. kolovoza]] [[1806.]] godine,<ref>{{Cite web|title=End of the Holy Roman Empire|trans-title=Kraj Svetoga Rimskog Carstva|url=https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|url-status=live|archive-url=https://web.archive.org/web/20180106122329/https://www.britannica.com/place/Germany/End-of-the-Holy-Roman-Empire|archive-date=2018-01-06|access-date=2024-10-20|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref> kada se [[Franjo II., car Svetog Rimskog Carstva|Franjo II.]], posljednji rimsko-njemački car, odrekao [[Carska kruna Svetoga Rimskog Carstva|carske krune]]<ref>{{Cite web|title=Njemačka|url=https://proleksis.lzmk.hr/39383/|url-status=live|archive-url=https://web.archive.org/web/20131002062416/https://proleksis.lzmk.hr/39383/|archive-date=2013-10-02|access-date=2024-10-21|website=Proleksis enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> i [[Rimsko-njemački car|titule]].<ref>{{Cite web|title=Njemačka|url=https://www.enciklopedija.hr/clanak/njemacka|url-status=live|archive-url=https://web.archive.org/web/20231224114752/https://www.enciklopedija.hr/clanak/njemacka|archive-date=2023-12-24|access-date=2024-10-20|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref><ref>{{Cite web|last=Dugački|first=Vlatka|title=Sveto Rimsko Carstvo Njemačke Narodnosti|url=https://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|url-status=live|archive-url=https://web.archive.org/web/20170623035200/http://leksikon.muzej-marindrzic.eu/sveto-rimsko-carstvo-njemacke-narodnosti/|archive-date=2017-06-23|access-date=2024-10-21|website=Leksikon Marina Držića|publisher=[[Leksikografski zavod Miroslav Krleža]] – [[Dom Marina Držića]]}}</ref> Franjo je ukinuo [[Sveto Rimsko Carstvo]] kako titula [[Rimsko-njemački car|rimsko-njemačkoga cara]] ne bi pripala [[Napoleon I. Bonaparte|Napoleonu I. Bonaparteu]]<ref>{{Cite web|title=Franjo I.|url=https://www.enciklopedija.hr/clanak/20489|url-status=live|archive-url=https://web.archive.org/web/20231227153712/https://www.enciklopedija.hr/clanak/20489|archive-date=2023-12-27|access-date=2024-07-21|website=Hrvatska enciklopedija, mrežno izdanje|publisher=[[Leksikografski zavod Miroslav Krleža]]}}</ref> iako je on također proglasio ukinuće Carstva iste godine.<ref>{{Cite web|title=Francis II, Holy Roman Emperor (c. 1804)|trans-title=Franjo II., rimsko-njemački car (oko 1804.)|url=https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|url-status=live|archive-url=https://web.archive.org/web/20240726191357/https://germanhistorydocs.org/en/the-holy-roman-empire-1648-1815/francis-ii-holy-roman-emperor-c-1804|archive-date=2024-07-26|access-date=2025-04-17|website=German History in Documents and Images|publisher=[[Njemački povijesni institut u Washingtonu]]|language=en}}</ref> Sveto Rimsko Carstvo već se ''[[de facto]]'' raspalo kada su se Napoleonovi njemački saveznici odvojili od Svetoga Rimskog Carstva i pridružili [[Rajnska konfederacija|Rajnskoj konfederaciji]].<ref>{{Cite web|last=Burgdorf|first=Wolfgang|author-link=Wolfgang Burgdorf|date=2023-04-26|title=Ende des Alten Reiches|trans-title=Kraj Staroga Reicha|url=https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|url-status=live|archive-url=https://web.archive.org/web/20230607080728/https://www.historisches-lexikon-bayerns.de/Lexikon/Ende_des_Alten_Reiches|archive-date=2023-06-07|access-date=2025-02-25|website=[[Historisches Lexikon Bayerns]]|language=de}}</ref>
Sveto Rimsko Carstvo počelo je slabiti već u [[11. stoljeće|11. stoljeću]] tijekom [[Borba za investituru|Borbe za investituru]], a u [[16. stoljeće|16. stoljeću]] bilo je »toliko [[Decentralizacija|decentralizirano]] da je bilo nešto više od labave [[Federacija|federacije]]«.<ref>{{Cite web|title=Why did the Holy Roman Empire fall?|trans-title=Zašto je Sveto Rimsko Carstvo palo?|url=https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|url-status=live|archive-url=https://web.archive.org/web/20221208074933/https://www.britannica.com/question/Why-did-the-Holy-Roman-Empire-fall|archive-date=2022-12-08|access-date=2025-05-31|website=Britannica|publisher=[[Encyclopædia Britannica, Inc.]]|language=en}}</ref>
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{{sust:cdb2|pg=Password strength|cat=B|texto=motivoooooo|{{sust:CURRENTDAY}}|{{sust:CURRENTMONTHNAME}}}} [[User:Nacaru|Nacaru]] ([[User talk:Nacaru|talk]]) 18:41, 3 July 2025 (UTC)
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Wikipedia:Requests/Permissions/Awesome Aasim (3)
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Created page with "<!--@Bureaucrats: If you close this request as {{Done}} add {{Request-done|1=~~~~|2=Closing rationale}} to the top of the page. If you close it as {{Not done}}, add {{Request-not done|1=~~~~|2=Closing rationale}} there, then close with {{Request closed}}.--> === [[User:{{subst:REVISIONUSER}}|{{subst:REVISIONUSER}}]] === * {{User3|{{subst:REVISIONUSER}}}}, [[Special:CentralAuth/{{subst:REVISIONUSER}}|global contribs]] ~~~~~ * '''Motive for request:''' I created a user scr..."
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<!--@Bureaucrats: If you close this request as {{Done}} add {{Request-done|1=~~~~|2=Closing rationale}} to the top of the page. If you close it as {{Not done}}, add {{Request-not done|1=~~~~|2=Closing rationale}} there, then close with {{Request closed}}.-->
=== [[User:Awesome Aasim|Awesome Aasim]] ===
* {{User3|Awesome Aasim}}, [[Special:CentralAuth/Awesome Aasim|global contribs]] 19:42, 3 July 2025 (UTC)
* '''Motive for request:''' I created a user script that adds a right click menu and I need to test certain moderation buttons to ensure they are working correctly. Please grant admin for one month with an additional month extension if necessary. Script is [[en:User:Awesome_Aasim/linkinfo.js|here]].
* '''Requested rights:''' Administrator
* '''Comments:''' <!-- Comments of other users -->
<!-- DO NOT FORGET to transclude your request at THE TOP of [[Wikipedia:Requests/Permissions]] or nobody will see it! -->
[[Category:!Requests]]
[[Category:Really big category]]
__NOINDEX__
o2gmqdcrruva0m2w42xvupr8jh9lusv
SomeTestAAAA
0
166965
665268
2025-07-03T21:37:24Z
~2025-123935
69399
test
665268
wikitext
text/x-wiki
testteste
nogfnfm
gmfds;gmsf
tyreyter
e06jea3q987uhqbz61m42nnunqo7p3z
665269
665268
2025-07-03T21:38:30Z
~2025-123935
69399
More test
665269
wikitext
text/x-wiki
testteste
nogfnfm
gmfds;gmsf
tyreyter
hfsh
some test or toher things and so on
7j42jsy2rku6ajdgepuuyy9cage0ht6
665270
665269
2025-07-03T21:39:17Z
~2025-123935
69399
test 3
665270
wikitext
text/x-wiki
testteste
nogfnfm
gmfds;gmsf
tyreyter
hfsh
some test or toher things and so on
again
byhb3b66h7w2ca9vsmjfef27xion2f9
665271
665270
2025-07-03T21:41:09Z
~2025-123935
69399
removing evth
665271
wikitext
text/x-wiki
a
frkhg3ewxov0h1g2eh87fri7z1g12ns
665272
665271
2025-07-03T21:44:00Z
~2025-123935
69399
delete this page notice
665272
wikitext
text/x-wiki
dont' know ho to delete this page, feel free to delete, thx, bye
h3vpbtwh8rqd3417g0okla6t5273s9y
665277
665272
2025-07-04T09:48:08Z
~2025-129469
69407
typo
665277
wikitext
text/x-wiki
dont' know how to delete this page, feel free to delete, thx, bye
aitxdwv0yud722iaiwn94sepnbyl8p5
User:Supertian8
2
166966
665273
2025-07-04T01:34:01Z
Supertian8
67751
Created page with "{{subst:#if:rij|true|false}}"
665273
wikitext
text/x-wiki
true
b7o6pblbd63a6t14ndtc0bkou7rp6mz
Test gallery
0
166967
665279
2025-07-04T11:35:51Z
A smart kitten
58826
to try and test how pageimage classes work with <gallery> tags
665279
wikitext
text/x-wiki
<gallery>
File:Server.jpg
File:Fox.jpg
</gallery>
bp706ybn0f2ch0tvff26d2aysxzbpzo
665280
665279
2025-07-04T11:36:25Z
A smart kitten
58826
try adding the notpageimage class to the gallery itself
665280
wikitext
text/x-wiki
<gallery class=notpageimage>
File:Server.jpg
File:Fox.jpg
</gallery>
hbwoqrs2zxq576zo69lmurvbz4korqh