On Dec 12, 12:10 am, juaninf <juan...@gmail.com> wrote:
> Hi everybody
>
> I want choose different minimal polynomial to build a Galois Field
> 2^m, how?
>
> For example: m = 8
>
> sageF.<a>=GF(2^8)
> sage:print a.minpoly()
> I get ...
> x^8 + x^4 + x^3 + x^2 + 1
> but I want now other polynomial for example
> x^8+x^7+x^4+x^3+x+1
> How?
>
> thanks

sage: K.<z>=GF(2)[]
sage: F.<x>=GF(2^8,name='x',modulus=z^8+z^4+z^3+z+1)
sage: F
Finite Field in x of size 2^8
sage: F.polynomial()
x^8 + x^4 + x^3 + x + 1

Andrzej Chrzeszczyk

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