Hi,

I am using tower of extensions on top of a binary field. Is this the
way to do it??

F1.<a> = GF(2^4);
_.<x> = PolynomialRing(F1);
f = x^2 + x + F1(1);
F2 = F1.extension(f, 'x');
_.<y> = PolynomialRing(F2);
g = y^2 + y + F2(x);
F3 = F2.extension(g, 'y');


Does sage support arithmetic of F2, F3 (addition, multiplication,
inverse etc) ? If yes, can you give some links to some documentation
or anything..

Can you provide some examples of how to do arithmetic in F2, F3 in
sage.

Thanks,

Anup.



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