Thank you. But when I try to solve
f1=x1 + x2 + x4 + x10 + x31 + x43 + x56 ,
f2=x2 + x3 + x5 + x11 + x32 +x44 + x57,

it becomes very slow. Is there any faster approach like
F4 algorithm available in Sage?



On 8 December 2012 17:25, Martin Albrecht <martinralbre...@googlemail.com>wrote:

> Or compute a Gröbner basis:
>
> sage: P.<x,y> = BooleanPolynomialRing()
> sage: Ideal(x^2 + y^2).groebner_basis()
> [x + y]
> sage: Ideal(x^2 + y^2).variety()
> [{y: 0, x: 0}, {y: 1, x: 1}]
>
> On Saturday 08 Dec 2012, Volker Braun wrote:
> > I take it you mean polynomial equations:
> >
> > sage: AA.<x,y> = AffineSpace(GF(2),2)
> > sage: S = AA.subscheme(x^2+y^2)
> > sage: S.point_set().points()
> > [(0, 0), (1, 1)]
> >
> > On Saturday, December 8, 2012 6:14:19 AM UTC, Santanu wrote:
> > >   I have a system of non linear equations over GF(2). How to solve
> > >
> > > them in Sage?
>
> Cheers,
> Martin
>
> --
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