ApCoCoA-1:CharP.XLSolve
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Revision as of 15:20, 6 December 2010 by Stadler (talk | contribs) (ApCoCoA:Char2.XLSolve moved to ApCoCoA:CharP.XLSolve)
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
