On Oct 28, 5:25 pm, Roman Pearce <rpear...@gmail.com> wrote:
> On Oct 28, 4:20 am, luisfe <lftab...@yahoo.es> wrote:
>
> > Computing with generic quotient rings I am afraid that will be slow
> > and that will yield to various errors. Specially as in this case,
> > where the ideal is not prime (you are looking for solutions in GF(4)).
>
> Doesn't GF(4) construct a field with 4 elements?  It shouldn't be Z/
> 4Z.  You can overcome this problem by choosing an irreducible
> polynomial of degree 2 modulo 2.  I'm thinking x^2+x+1 :)  Add it to
> the set of polynomials and compute modulo 2, and you have your own
> representation of the field.

GF(4) is fine. What is not prime is the ideal (a^4+a, b^4+b, c^4+c)
used to impose that all the solutions searched are in the field of
four elements instead of the algebraically closed field of
characteristic 2.

Also, I have just realize that this mail is in sage-devel list.
Please, post any further comment in the sage-support mailing list.

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