Permutation rational functions over quadratic extensions of finite fields

DOI10.1016/j.ffa.2024.102365arXiv2309.04121OpenAlexW4391155290WikidataQ129437965 ScholiaQ129437965MaRDI QIDQ6150569

Ruikai Chen, Sihem Mesnager

Publication date: 6 March 2024

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

Full work available at URL: https://arxiv.org/abs/2309.04121

zbMATH Keywords

finite fieldpermutationpolynomialpermutation rational function

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Finite affine and projective planes (geometric aspects) (51E15) Polynomials over finite fields (11T06) Special polynomials in general fields (12E10) Arithmetic theory of polynomial rings over finite fields (11T55) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

• Note on cubics over \(GF(2^n)\) and \(GF(3^n)\)
• On a type of permutation rational functions over finite fields
• Classification of fractional projective permutations over finite fields
• Full classification of permutation rational functions and complete rational functions of degree three over finite fields
• On a conjecture on permutation rational functions over finite fields
• Permutation polynomials over finite fields -- a survey of recent advances
• Rational functions of degree four that permute the projective line over a finite field
• Evaluation of Weil sums for some polynomials and associated quadratic forms

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