All bi-unitary perfect polynomials over F 2 only divisible by x, x + 1 and by Mersenne primes

Luis H. Gallardo -; Olivier Rahavandrainy

Preprints, Working Papers, ... Year : 2022

All bi-unitary perfect polynomials over F 2 only divisible by x, x + 1 and by Mersenne primes

, (1)

Luis H. Gallardo -

Function : Author

Olivier Rahavandrainy

Function : Author

Laboratoire de Mathématiques de Bretagne Atlantique

Abstract

We give all non splitting bi-unitary perfect polynomials over the prime field of two elements, which have only Mersenne polynomials as odd irreducible divisors.

Keywords

Bi-unitary divisors Mersenne primes finite fields b) Mathematics Subject Classification (2010): 11T55 11T06

Domains

Mathematics [math]

Fichier principal

B-u-p--all-Mers-divisors.pdf (90.52 Ko)

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Olivier Rahavandrainy : Connect in order to contact the contributor

https://hal.univ-brest.fr/hal-03653825

Submitted on : Thursday, April 28, 2022-10:28:41 AM

Last modification on : Friday, May 3, 2024-10:30:22 AM

Long-term archiving on : Friday, July 29, 2022-6:18:07 PM

Dates and versions

hal-03653825 , version 1 (28-04-2022)

Identifiers

HAL Id : hal-03653825 , version 1

Cite

Luis H. Gallardo -, Olivier Rahavandrainy. All bi-unitary perfect polynomials over F 2 only divisible by x, x + 1 and by Mersenne primes. 2022. ⟨hal-03653825⟩

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All bi-unitary perfect polynomials over F 2 only divisible by x, x + 1 and by Mersenne primes

Abstract

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