Bill Allombert on Mon, 26 Mar 2007 13:32:28 +0200 |
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Re: PARI/GP support for finite fields element v2 |
On Mon, Mar 26, 2007 at 01:17:46PM +1000, Joerg Arndt wrote: > * Bill Allombert <Bill.Allombert@math.u-bordeaux1.fr> [Mar 26. 2007 10:27]: > > I assume there will not be a change in the efficiency of the > methods, just a better interface, right? Depends what you call the methods. It is way faster than using Mod(x*Mod(1,n),ffinit(p,n)) > Specialized routines for GF(p^n) where p<256 would be faster > than the existing routines (using version 2.3.1). > For binary fields, the NTL library gives state of art peformace. Special support for GF(2,n) is in the work. But this will still be much slower than NTL. > I suggest to include (make somehow usable) the known factorizations > of numbers p^n-1, see > http://www.jjj.de/pari/mersfact.inc.gp There are some plan to do that, but there are better way to do it than to store the whole factorisation. Cheers, Bill.