Non-splitting bi-unitary perfect polynomials over $\mathbb{F}_4$ with less than five prime factors

Fuente: arXiv
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Autore principale: Rahavandrainy, Olivier
Natura: Preprint
Pubblicazione: 2024
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author Rahavandrainy, Olivier
author_facet Rahavandrainy, Olivier
contents We identify all non-splitting bi-unitary perfect polynomials over the field $\mathbb{F}_4$, which admit at most four irreducible divisors. There is an infinite number of such divisors.
format Preprint
id arxiv_https___arxiv_org_abs_2412_17850
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Non-splitting bi-unitary perfect polynomials over $\mathbb{F}_4$ with less than five prime factors
Rahavandrainy, Olivier
Number Theory
(2010): 11T55, 11T06
We identify all non-splitting bi-unitary perfect polynomials over the field $\mathbb{F}_4$, which admit at most four irreducible divisors. There is an infinite number of such divisors.
title Non-splitting bi-unitary perfect polynomials over $\mathbb{F}_4$ with less than five prime factors
topic Number Theory
(2010): 11T55, 11T06
url https://arxiv.org/abs/2412.17850