PERMUTATION POLYNOMIALS OF DEGREE 8 OVER FINITE FIELDS OF ODD CHARACTERISTIC

DOI10.1017/S0004972719000674zbMath1456.11227arXiv1905.04202OpenAlexW3101959259MaRDI QIDQ5212959

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Publication date: 31 January 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04202

zbMATH Keywords

permutation polynomialHermite's criterionCarlitz conjecture

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Software, source code, etc. for problems pertaining to number theory (11-04)

Related Items (3)

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

Uses Software

• SageMath
• SINGULAR

Cites Work

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• Permutation polynomials of degree 6 or 7 over finite fields of characteristic 2
• Schur covers and Carlitz's conjecture
• A family of skew Hadamard difference sets
• Carlitz-Wan conjecture for permutation polynomials and Weil bound for curves over finite fields
• The calculation of radical ideals in positive characteristic
• Lenstra's proof of the Carlitz-Wan conjecture on exceptional polynomials: An elementary version
• A classification of permutation polynomials of degree 7 over finite fields
• Permutation polynomials over finite fields -- a survey of recent advances
• A geometric approach to permutation polynomials over a finite field
• Handbook of Finite Fields
• Values of polynomials over finite fields

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