Non-splitting bi-unitary perfect polynomials over ${\mathbb{F}}_4$ with less than five prime factors

Abstract

We identify all non-splitting bi-unitary perfect polynomials over the field ${\mathbb{F}}_4$, which admit at most four irreducible divisors. There is an infinite number of such divisors.

11 pages. arXiv admin note: text overlap with arXiv:2310.05540