Date: 01 February 2001
How hard is it to choose a good password? Most people believe that choosing
a good password is easy. After all, how is somebody going to guess my wife's
maiden name?
In reality, people usually choose poor passwords. In 1990 [
Klein 1990] an attempt to crack a large password database revealed over
three hundred passwords in the first fifteen minutes! One fifth of all
password were obtained in the first week and approximately one quarter were
cracked by the end of the search. More than half of the cracked passwords
were six characters or less and some accounts didn't even have a password.
An intruder only needs one password!
Choosing a good password is a trade off between something that is
difficult to guess versus something that is easy to remember. While
@G7x.m^l is probably a good password, nobody will remember it and it is
certain to appear as a sticky note attached to a terminal. Conversely, your
first name is very easy to remember, but it is also trivial to guess.
Some simple rules of thumb
Some simple guidelines that will help you choose better passwords are:
- A password should be a minimum of eight characters long.
- Try to include some form of punctuation or digit.
- Use mixed case passwords if possible.
- Choose a phrase or a combination of words, that make the password
easier to remember.
- Do not use a word that can be found in any dictionary
(including foreign language dictionaries).
- Do not use a keyboard pattern such as qwertyui or oeuidhtn
(look at a Dvorak keyboard).
- Do not repeat any character more than once in a row like zzzzzzzz.
- Do not use all punctuation, all digit or all alphabetic.
- Do not use things that can be easily determined such as:
- Phone numbers.
- Car registration.
- Friends' or relatives' names.
- Your name or employment details.
- Any Date.
- Never use your account name as its password.
- Use different passwords for each machine.
- Change the password regularly and do not reuse passwords.
- Do not append or prepend a digit or punctuation mark to a word.
- Do not reverse words.
- Do not replace letters with similar looking numbers. For instance, all
of the letters i should not be blindly replaced replaced by the
digit 1.
Cracking passwords
The principle behind password cracking is quite simple: take a large word
list, encrypt each word and check if the encrypted string matches the user's
password. Word lists that are used frequently include English and other
language dictionaries, common names, pet names, television and movie
characters, character patterns on keyboards (for example, qwerty) and
jargon or slang terms.
To allow for the case that the user has not chosen a word in your word
list, an intruder can and usually will apply a large number of simple rules
to each word in the word list and check if any of these encrypt to the
user's passwords. Typical rules include appending and prepending digits and
other punctuation characters to words, reversing words, capitalising words,
converting words to all upper or all lower case, substituting letters or
digits for other letters and naturally many combinations of these. Since
computers are fast, applying these rules and encrypting the resulting guess
doesn't take much time and a lot of guesses can be made in a very short
time.
In addition, a CD based database is supposed to have been produced that
contains every word in a large dictionary plus many rule based permutations
of these words encrypted in every possible manner. This reduces password
cracking to a simple (and fast) database lookup.
How long is a good password?
The simple answer to this is that in general the longer the password the
better.
Assuming that you're using a reasonable selection of characters for your
password, say letters and numbers, then the following table presents the
number of passwords possible for the various choices of length. It also
includes an estimate of how much time would be required to crack the
password using a brute force attack.
The cracking time field is derived from a report in September
1993, that claimed the record for the speed of cracking passwords. The claim
was that 6.4 million passwords per second could be tested. Given that
computer speeds are increasing continuously, the following times are almost
certainly over estimates of the actual time required.
Number of passwords for each length
Length |
Number of Passwords |
Number of passwords |
Cracking Time |
---|
1 |
62 |
Not nearly enough |
Try this by hand |
2 |
3844 |
Three thousand |
Almost no time |
3 |
238328 |
One quarter of a million |
Less than one second |
4 |
14776336 |
Fourteen million |
Two seconds |
5 |
916132832 |
Almost one billion |
Two and a half minutes |
6 |
56800235584 |
Fifty six billion |
Two and a half hours |
7 |
3521614606208 |
Three and a half trillion |
One week |
8 |
218340105584896 |
Two hundred trillion |
One year |
9 |
13537086546263552 |
Thirteen quadrillion |
Seventy years |
10 |
839299365868340224 |
Eighty hundred and forty quadrillion |
Forty centuries |
11 |
52036560683837093888 |
Lots |
A quarter of a million years |
12 |
3226266762397899821056 |
Even more |
Sixteen million years |
Having said that longer is better, it is important to note that many
machines artificially restrict the length of the password usually by
silently truncating what you enter to their maximum length. Since this
length is often eight characters under Unix, the rest of this article will
assume that an eight character password is being used.
What characters should a good password contain?
The previous section assumed that passwords consisted of upper and lower
case letters and digits. What happens if this character set is increased or
decreased? The following table presents some of the options for eight
character passwords:
Number of eight character passwords
Type of Password |
Number of
Characters |
Number of
Passwords |
Cracking Time |
---|
7-bit ASCII |
128 |
72057594037927936 |
Three hundred and fifty years |
Printable Characters |
95 |
6634204312890625 |
Thirty three years |
Letters and Numbers |
62 |
218340105584896 |
One year |
Letters only |
52 |
53459728531456 |
Ninety six days |
Lowercase with one Uppercase |
26/special |
1670616516608 |
Three days |
Lowercase only |
26 |
208827064576 |
Nine hours |
English words: eight letters or longer |
special |
250000 |
Less than one second |
So clearly, the richer the character set being used, the harder it will
be to crack passwords. You should attempt to include as a minimum both upper
and lower case characters and if possible, you should also include some
digits, punctuation symbols and/or control codes in your password.
Examples of how to construct good passwords
So now that typical bad passwords have been discussed, how is a good
password constructed? Try combining two or more words together or taking the
first (or second or last) letter of each word in an easily remembered
phrase. Then mangle the result by adding capitals, digits and punctuation
characters. As an extra measure, control characters can also be introduced.
Some examples of using multiple words with punctuation
Here is a pair of good examples of using multiple words:
- gOt%L0st! - got lost!
- heLP4me$ - help for me (money)
And here is a bad one:
Some examples of using a phrase
Here are three good examples of using phrases:
- rsKf0myH - Raindrops keep falling on my head.
- wru2rxy? - Who are you to ask why.
- bWiIso3! - Beware the ides of March!
And here is a bad one:
- Aaaaaaaa - Always assert an ambiguous axiom and argue
aggressively.
As a final note, all the sample passwords listed in this article are now
known, and should not be used by anyone.
References
KLEIN 1990
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