ApCoCoA-1:CharP.GBasisModSquares
Char2.GBasisModSquares
Computing a Groebner Basis of a given ideal intersected with x^2-x for all indeterminates x.
Syntax
Char2.GBasisModSquares(Ideal:IDEAL):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 function returns the reduced Groebner basis for the given ideal intersected with the ideal generated by x^2-x for all indeterminates. If x^2-x for
all indeterminates is in the ideal (e.g. the set of zeros is a subset of {0,1}^n) this method should produce the Groebner Basis much faster!
Please be aware, that this is much more efficient if the term ordering is Lex, DegLex or DegRevLex. Otherwise, first a DegRevLex Groebner Basis is computed and then transformed with the FGLM-algorithm.
@param Ideal An Ideal.
@return The reduced Groebner Basis of the given ideal.
See also
Representation of finite fields
