La factorisation de $x^{p^l}-x\in{\mathbb F}\_p[x]$ selon la trace

Roland Bacher

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La factorisation de $x^{p^l}-x\in{\mathbb F}\_p[x]$ selon la trace

Roland Bacher

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Abstract

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.

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BibTeX RIS

Roland Bacher. 2006-07-18. La factorisation de $x^{p^l}-x\in{\mathbb F}\_p[x]$ selon la trace. https://arxiv.org/abs/math/0607413

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