Even perfect polynomials over $F_2$ with four prime factors

zbMath1239.11142arXiv0712.2602MaRDI QIDQ3635607

Luis H. Gallardo, Olivier Rahavandrainy

Publication date: 6 July 2009

Full work available at URL: https://arxiv.org/abs/0712.2602

zbMATH Keywords

finite fieldspolynomialssum of divisorscharacteristic 2

Mathematics Subject Classification ID

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

Related Items (9)

On splitting perfect polynomials over \(\mathbb F_{p^2}\) ⋮ Some families of unitary 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 ⋮ Characterization of sporadic perfect polynomials over \(\mathbb{F}_2\) ⋮ On even (unitary) perfect polynomials over \(\mathbb F_2\) ⋮ Unnamed Item ⋮ On Mersenne polynomials over \(\mathbb{F}_2\) ⋮ Fixed points of the sum of divisors function on \({{\mathbb{F}}}_2[x\)]

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