All unitary perfect polynomials over $F_2$ with less than five distinct prime factors

TL;DR

This paper classifies all unitary perfect polynomials over the finite field F_2 that have fewer than five distinct prime factors, expanding understanding of their structure.

Contribution

It provides a complete list of such polynomials with fewer than five prime factors, a new classification in the field of polynomial perfectness over F_2.

Findings

All unitary perfect polynomials over F_2 with less than five prime factors are identified.

The classification narrows the search for such polynomials in algebraic number theory.

Results contribute to the understanding of polynomial perfectness over finite fields.

Abstract

We find all unitary perfect polynomials over the prime field $\F_2$ with less than five distinct prime factors.