# ApCoCoA-1:CharP.XLSolve

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Revision as of 14:57, 6 December 2010 by 132.231.10.53 (talk)

## Char2.GBasisF2

Computing the unique `F_2-`rational solution of a given polynomial system over `F_2`.

### Syntax

Char2.XLSolve(F:LIST):LIST

### Description

*Please note:* The function(s) explained on this page is/are using the *ApCoCoAServer*. You will have to start the ApCoCoAServer in order to use it/them.

This command computes the unique `F_2-`rational solution of a polynomial system over `F_2 = Z/(2)`.

@param

*F*A system of polynomial equations over`F_2`having a unique solution.@return The unique solution of the given system in

`F_2`.

#### Example

Use R::=QQ[x,y,z]; I:=Ideal(x-y^2,x^2+xy,y^3); GBasis(I); [x^2 + xy, -y^2 + x, -xy] ------------------------------- Use Z::=ZZ[x,y,z]; -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong ------------------------------- I:=Ideal(x-y^2,x^2+xy,y^3); Char2.GBasisF2(I); -- WARNING: Coeffs are not in a field -- GBasis-related computations could fail to terminate or be wrong -- CoCoAServer: computing Cpu Time = 0 ------------------------------- [y^2 + x, x^2, xy] -------------------------------

### See also

Introduction to Groebner Basis in CoCoA

Representation of finite fields