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Date: Sat, 17 Jun 2006 00:54:11 +0300
From: Pietari Kivikangas <JTR1998@...l.ru>
To: john-users@...ts.openwall.com
Subject: Re:  Re: Inverted chatsets?

Pietari Kivikangas wrote:
> When the rec_entry variable in the module inc.c (in .rec file produced 
> by John The Ripper version 1.7 it is stored at the 11th position from 
> the end of file, the following numbers are 0 and 8) reaches the range 
> of values 3000-3419, the probability of the next password candidate 
> being the password you are looking for floats in the range between 
> 1/0x00003afa8baa2780LL and 1/0x00000057cfdce769LL.
Sorry, i calculated wrong. Below the calculations seem to be correct 
(i'm not a specialist in statistics though):

Total amount of all possible password candidates: 6634204312890625
Approximated total number of password candidates within the 'rec_entry' 
value 3000: 0x00000057cfdce769 = 377149515625, i.e. about 0.00568% of 
all passwords.
Approximated total number of password candidates within the 'rec_entry' 
value 3419: 0x00003afa8baa2780 = 64847759419264, i.e. about 0.97748% of 
all passwords.
So in both cases the probability for a single candidate is equal, i.e. 
0.00568% / 377149515625 = 0.97748% / 64847759419264 = 
1,5073397695288715005983296011248e-16 (without %). But for the 
'rec_entry' value 3419 there are much more password candidates than for 
3000.

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