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arXiv · 2204.13337

All bi-unitary perfect polynomials over $\F_2$ with only Mersenne primes as odd divisors

Luis H. Gallardo·Olivier Rahavandrainy
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Abstract

The paper is about a polynomial variant of a classical arithmetic problem. More precisely, we obtain all non-splitting bi-unitary perfect polynomials over the prime field of two elements, which have only Mersenne polynomials as odd irreducible divisors.

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Luis H. Gallardo, Olivier Rahavandrainy. 2026-07-31. All bi-unitary perfect polynomials over $\F_2$ with only Mersenne primes as odd divisors. https://arxiv.org/abs/2204.13337

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