Permutation polynomials of degree 6 or 7 over finite fields of characteristic 2

DOI10.1016/j.ffa.2010.07.001zbMath1206.11145arXiv1002.2796OpenAlexW2124672636MaRDI QIDQ609359

Qing Xiang, David B. Chandler, Jiyou Li

Publication date: 30 November 2010

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

Full work available at URL: https://arxiv.org/abs/1002.2796

zbMATH Keywords

finite fieldpermutation polynomialmultinomial coefficient

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (15)

A power sum formula by Carlitz and its applications to permutation rational functions of finite fields ⋮ Using permutation rational functions to obtain permutation arrays with large Hamming distance ⋮ Ambiguity, deficiency and differential spectrum of normalized permutation polynomials over finite fields ⋮ More classes of permutation hexanomials and pentanomials over finite fields with even characteristic ⋮ On inverses of permutation polynomials of the form \(x(x^s-a)^{(q^m-1)/s}\) over \(\mathbb{F}_{q^n}\) ⋮ Improved lower bounds for permutation arrays using permutation rational functions ⋮ Permutation polynomials of degree 8 over finite fields of characteristic 2 ⋮ Rational functions of degree four that permute the projective line over a finite field ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ PERMUTATION POLYNOMIALS OF DEGREE 8 OVER FINITE FIELDS OF ODD CHARACTERISTIC ⋮ On permutation polynomials over finite fields of characteristic 2 ⋮ Determination of a type of permutation binomials and trinomials ⋮ A note on good permutation codes from Reed-Solomon codes ⋮ A classification of permutation polynomials of degree 7 over finite fields ⋮ Boomerang uniformity of normalized permutation polynomials of low degree

Cites Work

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• Schur covers and Carlitz's conjecture
• Permutation polynomials: A matrix analogue of Schur's conjecture and a survey of recent results
• Lenstra's proof of the Carlitz-Wan conjecture on exceptional polynomials: An elementary version
• When Does a Polynomial Over a Finite Field Permute the Elements of the Field?
• When Does a Polynomial over a Finite Field Permute the Elements of the Field?, II

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