bump, since there was no answer so far and despite i don't know the
answer it should be rather simple ... ?

On Jul 27, 7:01 pm, lesshaste <[email protected]> wrote:
> I am new to sage and am attempting to solve systems of multivariate
> polys over GF(2).  My first attempt with a small example is
>
> R.<a111,a112,a121,a122,b111,b112,b211,b212,c111,c112>=GF(2)[]
> I=(a111 * b111 * c111 + a112 * b112 * c112 - 1 , a111 * b211 * c111 +
> a112 * b212 * c112 - 0 , a121 * b111 * c111 + a122 * b112 * c112 ,
> a121 * b211 * c111 + a122 * b212 * c112 - 1)*R
> B= I.groebner_basis();
>
> That works fine but how do I now solve B in sage to actually an
> answer?  In my case I only need one answer rather than the full list
> of possible solutions.
>
> Also, I read back in April that there was a plan to implement
> Faugere's F4 algorithm. As the systems I want to solve are very large,
> I would be particularly interested in that or any related tools that
> are in development. (Anyone working on an XL variant?)
>
> Raphael
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