Re: ffgen

[Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>]

On Thu, Jul 13, 2017 at 05:20:34PM +0200, Eric J. Van der Velden wrote:
> Hi Bill,
> 
> Thanks! I will try ffprimroot.
> 
> I am sorry, I do not know the term "field generator". Do you mean like i in
> F₉, which is of order 4, but 1 and i are a vectorspace basis over F₃ of F₉?

A generator g of K is a element of K such that all subfields of K
containing g are equal to K.

If K is isomorphic to F_{p^n}, then g is a generator if and only if
1,g,...,g^(n-1) is a basis of K seen as a F_p vector space.

Cheers,
Bill.