Dickson polynomials that are involutions

DOI10.1142/9789814719261_0003zbMath1382.11087OpenAlexW2402083131MaRDI QIDQ2829797

Sihem Mesnager, Sumanta Sarkar, Pascale Charpin

Publication date: 8 November 2016

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

Full work available at URL: https://hal.inria.fr/hal-01237332/file/Fq12.pdf

zbMATH Keywords

Dickson polynomialsDickson involutions

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (13)

New constructions of involutions over finite fields ⋮ A new construction for involutions over finite fields ⋮ On inverses of permutation polynomials of the form \(x(x^s-a)^{(q^m-1)/s}\) over \(\mathbb{F}_{q^n}\) ⋮ Rédei permutations with cycles of the same length ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The graph structure of Chebyshev polynomials over finite fields and applications ⋮ The functional graph of linear maps over finite fields and applications ⋮ Two-to-one mappings and involutions without fixed points over \(\mathbb{F}_{2^n}\) ⋮ Characterizations and constructions of triple-cycle permutations of the form \(x^rh(x^s)\) ⋮ Fixed points of rational functions satisfying the Carlitz property ⋮ A trigonometric approach for Dickson polynomials over fields of characteristic two ⋮ Regular complete permutation polynomials over \(\mathbb{F}_{2^n} \)

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