> Polynomials over Fields of Characteristic zero in the beginning. But the
> algorithms are formulated in the general setting. But all the
> applications that come to my mind are for characteristic 0.

okay, you'll get support for QQ and absolute number fields using libSingular. 
Relative number fields should also be do-able. 

> Probably this is different in Coding/Kryptotheory ?

We like characteristic two a lot here.

> >> Integer Lattices are all over the place with binomial ideals. Are there
> >> classes for integer lattices, or is someone working on such things?
> >
> > We have some lattice algorithms (LLL and BKZ) which act on integer
> > matrices:
> >
> > sage: A = random_matrix(ZZ, 10, 10)
> > sage: A.LLL()
> > sage: A.BKZ()
>
> Nice ...

It actually also is quite fast thanks to fpLLL and afaik the only publically 
available (open-source) implementation of BKZ in NTL.

Cheers,
Martin

-- 
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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