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Password policy – Length vs. Complexity

Friday, November 2, 2007 at 9:33am by Archive
Archive

One of the many topics I like to cover in detail when teaching Essentials of Hacking and Ultimate Hacking is password brute forcing and cracking. I usually start off by letting the students come up with what they think is a strong password policy and later, we analyze common implementations & attacks against them. Inevitably, the password policy they come up with looks a lot like this:

  • At least one uppercase character
  • At least one lowercase character
  • At least one digit
  • At least one symbol
  • At least 7 characters

A quick analysis of this password policy yields the following:

  • Character set is roughly 52 alpha characters + 10 digits + ~12 symbols
  • Password length is >= 7
  • Most people will pick a password that’s 7-8 character (we’ll compromise here)
  • Password keyspace is approximately 74^9 = 66540410775079424 or ~6.7e16

This password policy is inline with what I see on most security engagements. However, the matching implementation that enforces these rules is not as common, but that’s another blog entry. Still, a password policy like this is the common case.

Here’s my password policy (just trying to prove a point here):

  • All lowercase characters
  • At least 15 characters
  • Non dictionary words

A quick analysis of my password policy yields the following:

  • Character set is 26
  • Password length is >= 15
  • Password keyspace is approximately 26^15 = 1677259342285725925376 or ~1.7e21

Let’s figure out which password policy is stronger by using Cain & Abel to test the time required to brute force passwords that are MD5 hashed, which is a common case for web applications.

Exhibit A:

http://vil.nai.com/images/AvertBlog_cain-weak-password-policy.gif
Here’s Cain & Abel attempting to crack all possible passwords for the typical password policy.

Exhibit B:
http://vil.nai.com/images/AvertBlog_cain-strong-password-policy.gif
Here’s Cain & Abel attempting to crack all possible passwords for my password policy.
The bottom line:

  • In general, password length trumps password complexity. This applies to both cracking and rainbow table attacks.
  • Given the opportunity, users will choose the simplest passwords, such as ‘Password1!’, , etc. If you don’t believe me, check out an analysis of the ‘hacked’ Myspace accounts.
  • Make sure you account for human tendencies that include usernames in passwords, too many repeating characters, passwords based on dictionary words, capitalization of the first letter, symbols & digits at the end, etc.
  • Enforce your password policy – duh. Rememer AOL’s old implementation?
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Comments (11)

  • Bill November 27, 2011 9:59PM

    I feel passwords have gotten way out of hand. Every two bob web site seems to insist on draconian passwords with the latest trend being digits letters length and symbols as you indicate.

    I believe the web miesters have totally lost the plot.
    99.99999999% of web sites are not CIA or some other uber secret place.

    Sure I understand identy fraud etc but there must be a better way than to have a million sit5es all with differing requirements and burdening the user?
    ie why the 2 word anti spam filter below?

  • EB March 25, 2009 1:38AM

    Security risk: A password written down on a post it is easy to crack (1 attempt typically).

    Ideally, we should use different passwords of infinite length everywhere, but how can we remember those without typing them down (average Internet user have 30+ passwords to remember)?

    Solution: lock in your users passwords and password algorithms well and make them slow, 1 second response time on a login attempt minimum, increase with further attempts (4 mil attempts per second is just stupid) account lock-down is to be recommended.

    • ed November 14, 2011 4:29PM

      @ EB: A password written down on a post-it is NOT easy to crack. Considering most cracking occurs across state lines, from other states or countries, most people don’t have the post-it at their disposal. That’s saying you could have access to my password, assuming of course I have a post-it note somewhere, then you’d have to know where I live for that to happen, and once you find my house, where in my house this post-it hides. So no, it’s not a security problem. Idiots that put passwords in text documents and save them on their computers, now that’s more likely to be a security risk as the computer itself could be hacked. I doubt that average internet users have 30 passwords to remember, because not many people (including myself) don’t use that many. You can tell me it’s not safe to use the same password 2, 3, or even 4 times, but I’d like to see you guess my 18 character alphanumeric password with both lowercase and uppercase. Based on today’s technology, even if you had a lab of computers searching a billion characters per second, it’d take longer than you or I have to live.
      @ Carly, yes it matters what the length is. The longer you make it, the longer it takes to crack (assuming you use letters both upper and lower case, and numbers. A lot of sites have a maximum of like 30 characters so that’s a good thing, always make a creative and impossible to guess password.

  • aniket October 24, 2008 1:53PM

    well if you try the brute force through ophcrack, it will take much lesser amount of time than this does.
    and yes its true that more the number of letters in the password, the more time it will take to crack it. but still if u keep your password of good length..probably 10-12 characters with numbers, lowercase, uppercase, special symbold etc. its not easy to crack.
    so am kind of 50-50 with what is written above. most of the times it depends upon which software you are using to crack the password. basically the hash plays the important role here.OPHCRACK calculates better hash.it takes much much lesser amt of time. i hvnt tried with the passwords given above. but yes am pretty sure it will crack it in minutes.

  • carly April 27, 2008 3:41PM

    i’m just wondering does it matter what length a password is or is there a maxinim length?

  • Denis Koh November 9, 2007 2:53AM

    Obviously length+complexity is better than length alone. But based on my personal experience when you forced user to used a long and complex password, the changes are they can’t remember it. System policy is one thing, user acceptance is another. More often than not if they can’t remember it they will write the password down. I have seen them do it, and know where their password is on physical medium. Furthermore long complex password will just tempt them to reuse the first few characters of the password. You can have the best system security but it’s useless if the users let you down.

  • Katsuya Uchida November 8, 2007 3:59PM

    One of my password idea is as follow;

    If we memorize password character, it is very difficult to memorize a long characters for password.
    However, if you memorize a password patern, you cannot memorize your password itself.
    That is, I call my password system is “Password Patern memorize system”, instead of “Password memorize system”.

    Fist of all, you create random character table, 10 by 10 for example. (Fig. 1, bellow)

    Then you decide to memorize a password patern.
    For example, 10 characters from 5 column at 2nd line in the ramdom table, your password is JjDX[6$bp}.
    Or to memorize another password patern, L format, that is, 19 characters from 1st row and 10th line, that is, your password is #$Z(!Y`e"%cq]Kau0)>.
    You can decide your password patern and start point in your password patern on your own.

    And if you have 10 accounts, you create 10 random password tables and print them. Probably, If you have these random password table, noone does not crack your password when you memorize a good password patern, even though you show it to a password cracker.
    If your password policy have 35 day password life time, you creat a new random password table and use it as a same password patern, which contains different password characters.

    I creat a random table by Excel, because I do not get a same random table for a long time.
    One of my friend print a random table and past it on his wrist watch, and I print some random tables and past them in my pocket diary.

    Fig. 1: A sample random password table created 10 by 10
    (You can change number of row and column.)
    1 2 3 4 5 6 7 8 9 0
    1 # a o * I g A U \ 3
    2 $ b p } J j D X [ 6
    3 Z 8 | ; F d x R | _
    4 ( f t . N h B V @ 4
    5 ! 9 m + G i C W ‘ 5
    6 Y 7 k { E c w Q – ?
    7 ` e s

    PS
    My website is only Japanese.
    If you can read Japanese, please read the following pdf file.
    http://www.uchidak.com/papers/20060406_Uchidak.pdf

  • Juan Bocanegra November 7, 2007 3:34PM

    Simple password with account lockout sounds tempting. But, what does that do for someone running a reverse brute force?

  • Ahmad Al-Alaiwat November 7, 2007 7:25AM

    When it comes to users’ imagination in choosing a password, length is probably preferred over complexity or length + complexity ;-)

    …and if accounts lockout after, say, 5 tries. Doesn’t that pretty much make it safe to use simple password? ;-)

  • Juan Bocanegra November 3, 2007 6:54AM

    Yes, length is good, but length + complexity is better – but not by much. The main reason I wrote this post entry was to get people thinking and experimenting on finding the sweet spot for their password policy. Every password secured system is different and the password policy that governs how the passwords are created should be tweaked accordingly.
    I believe that after you account for common mistakes in the creation of these policies, you should focus on password length – that’s the main variable that gives passwords their strength.

    My next entry will discuss the intersection of password policies and common (associated) problems, such as account harvesting, lockout, and the rest. Once you start putting these pieces together, entire applications and their user bases can quickly crumble.

  • John L. Galt November 2, 2007 11:12AM

    Nice blog. Harry Waldron, MS MVP, posted a link to this blog at our site, and a discussion has ensued. I myself have posted as well, but re-reading your blog makes me wonder – you say length trumps complexity, but would length + complexity still be better than just length alone?

    You can check out the discussion at the following link:

    http://www.dozleng.com/updates/index.php?showtopic=16191