On Mersenne polynomials over \(\mathbb{F}_2\)

DOI10.1016/j.ffa.2019.06.006zbMath1459.11231OpenAlexW2957531368MaRDI QIDQ2326698

Olivier Rahavandrainy, Luis H. Gallardo

Publication date: 10 October 2019

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2019.06.006

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 (6)

Unnamed Item ⋮ Some families of unitary perfect polynomials over \(\mathbb{F}_2\) ⋮ On the index of special perfect polynomials ⋮ Reduction-free multiplication for finite fields and polynomial rings ⋮ Unnamed Item ⋮ Fixed points of the sum of divisors function on \({{\mathbb{F}}}_2[x\)]

Cites Work

• Unnamed Item
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• On the Nagell-Ljunggren equation $(x^n - 1)/(x - 1) = y^q$
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• A fast algorithm for testing reducibility of trinomials mod~2 and some new primitive trinomials of degree 3021377
• On xn + x + 1 over GF(2)

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