Alexander Gruber
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Producing a minimal Gröbner base
4 votes

Does this do what you want? GroebnerReduce[L_, order_: Lexicographic] := Module[{G, V}, G = Union[L, SameTest -> (PolynomialMod[MonomialList[#1, order][[1]], MonomialList[#2, ...

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Find roots of polynomial in field extension $GF(2^n)$?
4 votes

Well, for your example $p(x)=x^8 + x^7 + x^5 + x^3 +1$, the associated extension $GF(2^n)\cong \frac{GF(2)[x]}{\langle p(x) \rangle}$ is a vector space over $GF(2)$ of dimension $8$. The elements of ...

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