On odd prime divisors of binary perfect polynomials
L. H. Gallardo, O. Rahavandrainy
TL;DR
This paper establishes necessary conditions for the odd prime divisors of binary perfect polynomials, leading to a new characterization of all known perfect binary polynomials.
Contribution
It provides a novel set of criteria that describe the odd prime divisors, enhancing understanding of binary perfect polynomials and their structure.
Findings
Necessary conditions for odd prime divisors identified
New characterization of known perfect binary polynomials
Improved understanding of polynomial divisor structure
Abstract
We give necessary conditions satisfied by the set of odd prime divisors of binary perfect polynomials. This allows us to get a new characterization of all the known perfect binary polynomials.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Mathematical Theories · Advanced Topics in Algebra