Low-degree permutation rational functions over finite fields

DOI10.4064/aa210521-12-11zbMath1492.11162arXiv2010.15657OpenAlexW3096827676MaRDI QIDQ5065983

Zhiguo Ding, Michael E. Zieve

Publication date: 23 March 2022

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.15657

zbMATH Keywords

finite fieldmonodromy groupsexceptional rational functionpermutation rational function

Mathematics Subject Classification ID

Galois theory (11R32) Polynomials over finite fields (11T06)

Related Items (4)

Using permutation rational functions to obtain permutation arrays with large Hamming distance ⋮ Determination of a class of permutation quadrinomials ⋮ Further investigations on permutation based constructions of bent functions ⋮ Exceptionality of \((X+1)^n + (X -1)^n\)

Cites Work

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• Exceptional polynomials of affine type
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• POLYNORMAL RELATIONS IN CHARACTERISTIC p
• Galois Groups and Complex Multiplication
• The rational function analogue of a question of Schur and exceptionality of permutation representations
• Rational functions of degree four that permute the projective line over a finite field
• Exceptional Covers and Bijections on Rational Points
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