On Mar 9, 6:38 pm, Nick Alexander <[email protected]> wrote:
> On 9-Mar-09, at 8:48 AM, Noel wrote:
>
>
>
> > Hello Y'all,
>
> > What's the best way of listing all polynomials of a given degree with
> > coefficients in a finite field?
>
> If you want a one liner, you could use
>
> sage: [ GF(3)['x'](list(t)) for t in  (GF(3)^2) ]
> [0, 1, 2, x, x + 1, x + 2, 2*x, 2*x + 1, 2*x + 2]
>
> Nick

if you want another one liner, and an exact degree, you could use

list(GF(3)['x'].polynomials(of_degree=2))

Yann
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