ApCoCoA-1:CharP.BBasisMutantStrategyF2

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charP.BBasisMutantStrategyF2

Computes a Border Basis of a given ideal over F_2.

Syntax

```charP.BBasisMutantStrategyF2(I:IDEAL):LIST of POLY
```

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.

Let I be a zero-dimensional ideal over a polynomial ring with coefficient ring F2. This function computes a border basis of the zero-dimensional radical ideal generated by I and the field polynomials. Furthermore, it uses the Mutant Strategy for stable span computations.

• @param I A zero-dimensional ideal.

• @return A border basis of the zero-dimensional radical ideal generated by the Ideal I and the field polynomials.

Example

```Use Z/(2)[x[1..4]];
F:=[
x[1]x[2] + x[2]x[3] + x[2]x[4] + x[3]x[4] + x[1] + x[3] + 1,
x[1]x[2] + x[1]x[3] + x[1]x[4] + x[3]x[4] + x[2] + x[3] + 1,
x[1]x[2] + x[1]x[3] + x[2]x[3] + x[3]x[4] + x[1] + x[4] + 1,
x[1]x[3] + x[2]x[3] + x[1]x[4] + x[2]x[4] + 1
];

-- Then we compute a Border Basis with
charP.BBasisMutantStrategyF2(Ideal(F));

[x[4] + 1, x[3], x[2] + 1, x[1]]

```