On Fri, Dec 05, 2008 at 10:21:32AM +0100, Marco Maso wrote:
> When you talk about maximum grade 31 for a x86 and 63 for a x86_64 what
> are you referring?
> If you are referring to the grade of the generator polynomial I'm stuck
> and I couldn't do anything without heavily moddifying the code (if I've
> understood well), if you are talking about the galois field
> "cardinality" this would be not a problem. A field of 2^63 - 1 elements
> is more than enough to represent what I'm trying to do...but probably
> we are in the first case, isn't it?
> 
> I say this beacuse if we are in the second case your reply
> isn't so related to my question about the two errors...

As the Galois field is represented as a set on "int" values the maximum 
Galois feild that can be represented is GF(2^31), which was a primitive 
polynomial of order 32. This is in fact the "grade" I was talking about. 
It seems the grade you are talking about is the order of the BCH 
generator polynomial, which is constructed from the cyclotomic cosets of 
the galois field (cf the cosets function). I'd have to look up the exact 
process to construct the BCH generator polynomial from the cosets, but 
if I remember correctly the order of the BCH generator polynomial is 
always less that the order of the primitive polynomial of the 
galois field, and so yes the limit on the order or "grade" of the BCH 
generator polynomial in the octave-foreg package is 31.. Have you looked 
at the PARI/GP package that might be what you are looking for to work 
with such large generator polynomials? Check

http://pari.math.u-bordeaux.fr/

Regards
David

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