john-users - Re: Re: how to find a password of 16 digits

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Date: Thu, 1 Feb 2007 08:49:40 -0600
From: "Randy B" <aoz.syn@...il.com>
To: john-users@...ts.openwall.com
Subject: Re: Re: how to find a password of 16 digits

> It's 10 to the 16th power, not vice versa. ...

<yoda>
This is not the mathematician you are looking for
</yoda>

I've grown soft in the 5 years since collegiate statistics.  Could I
say I was thinking of a 10-character hex password?  No?

For posterity's sake, if you have N characters and X equally probable
values for each, your result space is not calculated by N^X, it's X^N.
 Example: 8-character alphanumeric passphrase.

__ __ __ __ __ __ __ __

Each character can be 36 different values; for each value of character
Y, character Y+1 can have 36 values.

36 36 36 36 36 36 36 36
__ __ __ __ __ __ __ __

Therefore, your search space is 36*36*36*36*36*36*36*36, or 36^8 possibilities.

The storage space was calculated at 1 byte per character, adding
'roughly' for delimiters and file structure.  ;-)

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