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All Bi-Unitary Superperfect Polynomials over F2 with at Most Two Irreducible Factors
Version 1
: Received: 16 October 2023 / Approved: 17 October 2023 / Online: 17 October 2023 (11:59:49 CEST)
A peer-reviewed article of this Preprint also exists.
Chehade, H.; Miari, D.; Alkhezi, Y. Bi-Unitary Superperfect Polynomials over 𝔽2 with at Most Two Irreducible Factors. Symmetry 2023, 15, 2134. Chehade, H.; Miari, D.; Alkhezi, Y. Bi-Unitary Superperfect Polynomials over 𝔽2 with at Most Two Irreducible Factors. Symmetry 2023, 15, 2134.
Abstract
In this paper, we give all non splitting bi-unitary superperfect polynomials divisible by one or two irreducible polynomials over the prime field of two elements. We prove the nonexistence of odd bi-unitary superperfect polynomials over F2.
Keywords
sum of divisors; bi-unitary divisors; polynomials; finite fields; characteristic 2
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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