# ApCoCoA-1:CharP.GBasisF1024

## Char2.GBasisF1024

Computing a Groebner basis of a given ideal in F_1024.

### Syntax

Char2.GBasisF1024(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 command computes a Groebner basis in the field F_1024 = (Z/(2))[x]/(x^10 + x^3 + x^2 + x + 1).

@param

*Ideal*An Ideal in a Ring over Z, where the elements 0,...,1023 represent the elements of the finite field. For short, the binary representation of the number represents the coefficient vector of the polynomial in the field, e.g. 11 = 8 + 2 + 1 = 2^3 + 2^1 + 2^0. So the number 11 corresponds to the polynomial x^3 + x + 1.@return A Groebner Basis of the given ideal.

### See also

Introduction to Groebner Basis in CoCoA

Representation of finite fields