One more question If I may ask.
Is there a way to get the minimal poly of some conjugates over GF(2^4)?
I always end up degree 28 in this case, i want to see some of degree 7.
I've tried to embed it into GF(2^4)[x] and factor yet no luck.
Best,
evrim.
2015-05-04 20:04 GMT+03:00 Evrim Ulu :
> Th
Thats right f(g(x)) is not irreducible obviously, shame on me.
I did this to get the order:
sage: (k[x](x^7+x+1)).roots()[0][0].multiplicative_order()
127
First root, multiplicative order.
The real confusion comes from the notation I guess. When you said
k[x](x^7+x+1) i obviously thought we are
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 u
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.
best
evrim.
2015-05-04 17:55 GMT+03
On 4 May 2015 at 15:22, Evrim Ulu wrote:
>
> Here it is:
>
> F16.extension(modulus=x^7+x+1)
To quote from the documentation of the extension() method used here:
"Extensions of non-prime finite fields by polynomials are not yet
supported: we fall back to generic code:"
follwed by an example. In
Here it is:
F16.extension(modulus=x^7+x+1)
On Monday, May 4, 2015 at 5:02:52 PM UTC+3, Evrim Ulu wrote:
>
> Hello,
>
> I'm having trouble extending a finite field. Any help would be appreciated.
>
> F16 = GF(16, 'g')
> F16_x. = PolynomialRing(F16, 'x')
> HH = GF(F16^7, modulus=x^7 + x + 1, name=
