On splitting perfect polynomials over \(\mathbb F_{p^2}\)

DOI10.4171/PM/1843zbMath1209.11105arXiv0911.1475OpenAlexW2094953601MaRDI QIDQ838402

Olivier Rahavandrainy, Luis H. Gallardo

Publication date: 25 August 2009

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1475

zbMATH Keywords

finite fieldspolynomialscirculant matricessum of divisorsquadratic extensions

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (2)

All unitary perfect polynomials over \(\mathbb F_2\) with at most four distinct irreducible factors ⋮ Fixed points of the sum of divisors function on \({{\mathbb{F}}}_2[x\)]

Cites Work

• On perfect polynomials over \(\mathbb F_4\)
• Perfect polynomials over \(\mathbb F_4\) with less than five prime factors
• On a conjecture of Beard, O'Connell and West concerning perfect polynomials
• Odd perfect polynomials over \(\mathbb F_2\)
• The sum of the divisors of a polynomial
• Even perfect polynomials over $F_2$ with four prime factors
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