Hi there,

let me (ab)use this opportunity to point to a library for doing these things 
over finite fields (for crypto) I came across by chance.

   http://crypto.stanford.edu/pbc/

PBC stands for Pairing-Based Cryptography and is a library for ... well ... 
pairings in cryptography (where everybody is pretty crazy about pairings 
these days). The focus seems to be 'industrial' applications rather than 
research (playing around). 

It is 
 * GPL v3 (!)
 * well documented: reference manual, tutorial, examples
 * small: 500k
 * used by a couple of applications
 * claimed to be fast: I have no idea how fast 'fast' should be though

So if you care about pairings, it might be worth a look/wrap etc.

Cheers,
Martin

PS: The PBC website links to Sage btw.



-- 
name: Martin Albrecht
_pgp: http://pgp.mit.edu:11371/pks/lookup?op=get&search=0x8EF0DC99
_www: http://www.informatik.uni-bremen.de/~malb
_jab: [EMAIL PROTECTED]


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