The parity of the number of irreducible factors for some pentanomials

DOI10.1016/J.FFA.2009.05.003zbMath1219.11179OpenAlexW2085575150MaRDI QIDQ623239

Ryul Kim, Wolfram Koepf

Publication date: 14 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2009.05.003

zbMATH Keywords

finite fieldirreducible polynomialstype II pentanomials

Mathematics Subject Classification ID

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

Related Items (6)

Swan-like results for binomials and trinomials over finite fields of odd characteristic ⋮ Division of tetranomials by type II pentanomials and orthogonal arrays ⋮ Parity of the number of irreducible factors for composite polynomials ⋮ A Swan-like note for a family of binary pentanomials ⋮ A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields ⋮ On Mersenne polynomials over \(\mathbb{F}_2\)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• A Swan-like theorem
• Factorization of polynomials over finite fields
• On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields
• Swan's theorem for binary tetranomials
• On the number of trace-one elements in polynomial bases for \({\mathbb F}_{2^n}\)
• Constructing composite field representations for efficient conversion
• Parallel multipliers based on special irreducible pentanomials

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