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arXiv · 2202.08126

Admissible family for binary perfect polynomials

Luis H. Gallardo·Olivier Rahavandrainy
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Abstract

The paper is about an arithmetic problem in $\F_2[x]$. We give \emph{admissible} (necessary) conditions satisfied by a set of odd prime divisors of perfect polynomials over $\F_2$. This allows us to prove a new characterization of \emph{all} known perfect polynomials, and to open a way of finding more of them (if they exist).

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Luis H. Gallardo, Olivier Rahavandrainy. 2022-02-16. Admissible family for binary perfect polynomials. https://arxiv.org/abs/2202.08126

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