La factorisation de $x^{p^l}-x\in{\mathbb F}_p[x]$ selon la trace
Résumé
We present a few factorizations of polynomials over finite fields. These factorizations are related to traces, compositions of polynomials and binomial coefficients. As a corollary we obtain a description of all irreducible polynomials $Q\in {\mathbb F}_2[x]$ such that $Q(1+x+x^2)$ (or $Q(x+x^2)$) remain irreducible.
Domaines
Théorie des nombres [math.NT]
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