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How to evaluate all the essentially distinct polynomials in 4 variables over $F_2$ on points of $F_2 ^ 4$
I am a beginner with Mathematica. For my research purpose I would like to get a list of all the polynomials in $F_2[x,y,z,w]$ and for each polynomial I would like to know the result that it gives then ...
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Interpolating a Bivariate Polynomial over a Finite Field
Let $F=GF(p)$ be a finite field, $p$ prime and write $F^\times=\{x_1,\ldots,x_n\}$.
I'm trying to implement an earlier version of Sudan's list-decoding algorithm for Reed Solomon Codes
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How do I make Reduce yield all solutions explicitly?
Say I want to do the following:
Reduce[ x+y+z==1, {x,y,z}, Modulus -> 7 ]
then I get a solution with parameters, C[1] :
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1answer
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How to do the polynomial stuff over finite fields extensions fast?
This question is raised from the problem of package FiniteFields being very slow (please, see the corresponding question): I have had an evidence that Mathematica ...