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VanishingIdeal -- vanishing ideal of an evaluation code

Description

This key stores the vanishing ideal of the set of points that are used for constructing an EvaluationCode.

This symbol is provided by the package CodingTheory.

i1 : F=GF(4);
i2 : R=F[x,y];
i3 : P={{0,0},{1,0},{0,1},{a,a}};
i4 : S={x+y,x^2+y^2, a+x*y^2};
i5 : C=evaluationCode(F,P,S);
i6 : C.VanishingIdeal

                          2              2    2
o6 = ideal (x*y + (a + 1)y  + (a + 1)y, x  + y  + x + y)

o6 : Ideal of R

For the programmer

The object VanishingIdeal is a symbol.


The source of this document is in CodingTheory.m2:5157:0.