Chehade, H.; Miari, D.; Alkhezi, Y. Bi-Unitary Superperfect Polynomials over 𝔽2 with at Most Two Irreducible Factors. Symmetry2023, 15, 2134.
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. Symmetry2023, 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.
