All bi-unitary perfect polynomials over $\F_2$ with only Mersenne primes as odd divisors

Abstract

The paper is about a polynomial variant of a classical arithmetic problem. More precisely, we obtain all non-splitting bi-unitary perfect polynomials over the prime field of two elements, which have only Mersenne polynomials as odd irreducible divisors.

arXiv comment13 pages. arXiv admin note: text overlap with arXiv:1810.09697