On perfect polynomials over \(\mathbb F_4\)
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Publication:1780145
zbMath1131.11079MaRDI QIDQ1780145
Olivier Rahavandrainy, Luis H. Gallardo
Publication date: 7 June 2005
Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/53778
Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)
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On splitting perfect polynomials over \(\mathbb F_{p^2}\) ⋮ Odd perfect polynomials over \(\mathbb F_2\) ⋮ All unitary perfect polynomials over \(\mathbb F_2\) with at most four distinct irreducible factors ⋮ Unitary perfect polynomials over \(\mathbb {F}_4\) with less than five prime factors ⋮ Perfect polynomials over \(\mathbb F_4\) with less than five prime factors ⋮ On a conjecture of Beard, O'Connell and West concerning perfect polynomials ⋮ There is no odd perfect polynomial over \(\mathbb F_{2}\) with four prime factors ⋮ Fixed points of the sum of divisors function on \({{\mathbb{F}}}_2[x\)]
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