On Monday, May 4, 2015 at 7:58:19 AM UTC-7, Evrim Ulu wrote: > > I see that, thanks for the info. > > Actually F16.extension(..).gen().multiplicative_order() gives > NotImplementedError > > So basically, if i want to simulate the behaviour I can take two poly > f(x), g(x) and generate a field using modulus f(g(x)) composition i > guess. > Only if you care about having that basis (is f(g(x)) guaranteed to be irreducible?) You can also just construct k=GF(2^(4*7),'a') and hope the underlying library takes a smart choice for its generator. You can then see how GF[x]/(x^7+x+1) embeds by asking for (k[x](x^7+x+1)).roots()
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