hi Axelle,

simple google.com search on "sliding window montgomergy" shows
at least two pointers:
    http://citeseer.nj.nec.com/kaya96analyzing.html
    http://users.belgacom.net/dhem/these/

Hope one can read that papers to better understand OpenSSL code

best wishes,
Vadim

On Tue, Apr 01, 2003 at 05:07:29PM -0500, Axelle Apvrille (LMC) wrote:
> Hi,
> I'm trying to understand the code that is written in openssl/crypto/bn. 
> I have found some "old" documentation at 
> http://www.columbia.edu/~ariel/ssleay/cryptosupp_index.html, but this is 
> incomplete.
> 
> I'd like to find some developer level documentation explaining how to 
> use the BN_xxx functions, and basically how they are implemented.
> 
> 
> For instance:
> - what's the use of the BN_CTX structure ? Is it to maintain sort of a 
> pool of BIGNUMs instead of always allocating new BIGNUMs ? what do the 
> tos,pos, depth and too_many fields mean ? what's the correct way of 
> using the BN_CTX_xxxx functions (declare a BN_CTX * pointer, do a 
> BN_CTX_start on it, retrieve an available buffer with BN_CTX_get...)
> 
> - is there some explanation step by step of the bn_mod_exp_mont function 
> (in bn_exp.c) ? I've got the reference algorithms of Montgomery just 
> next to me (in chap 14 of "Handbook of Applied Cryptography"), but I'm 
> quite lost at matching the steps with the actual coding.
> 
> - the bn_mod_exp_mont() function uses a "window". Is there a link to the 
>  "sliding window" technique the Handbook of Applied Crypto talks about ?
> 
> Thanks
> Axelle.
> 
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