On bi-unitary perfect polynomials over $F_2$
Number Theory
2022-05-10 v2
Abstract
We give all bi-unitary non splitting even perfect polynomials over the prime field of two elements, which are divisible by Mersenne irreducible polynomials raised to special exponents. We also identify all bi-unitary perfect polynomials over the same field, with at most four irreducible factors. We then complete, in this manner, a list given by J.T. B. Beard Jr.
Cite
@article{arxiv.1810.09697,
title = {On bi-unitary perfect polynomials over $F_2$},
author = {Olivier Rahavandrainy},
journal= {arXiv preprint arXiv:1810.09697},
year = {2022}
}
Comments
We get more general results in Theorem 1.1. Corollary 5.27 and Theorem 1.3 are false