On the cycle structure of permutation polynomials

DOI10.1016/j.ffa.2007.08.003zbMath1153.11057OpenAlexW1976636244MaRDI QIDQ938756

Wilfried Meidl, Alev Topuzoğlu, Ayça Çeşmelioǧlu

Publication date: 27 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2007.08.003

zbMATH Keywords

cycle structurepermutation polynomialsinversive generators

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (18)

On the boomerang uniformity of permutations of low Carlitz rank ⋮ Rédei permutations with the same cycle structure ⋮ On the Carlitz rank of permutation polynomials ⋮ Groups of permutations generated by function-linear translator pairs ⋮ Complete mappings and Carlitz rank ⋮ Permutations from an arithmetic setting ⋮ Permutations on finite fields with invariant cycle structure on lines ⋮ The cycle structure of a class of permutation polynomials ⋮ The Carlitz rank of permutations of finite fields: a survey ⋮ Rédei permutations with cycles of the same length ⋮ On the Carlitz rank of permutations of \(\mathbb F_q\) and pseudorandom sequences ⋮ The dynamics of permutations on irreducible polynomials ⋮ Fixed points of rational functions satisfying the Carlitz property ⋮ Permutation polynomials and factorization ⋮ Connecting two types of representations of a permutation of \(\mathbb{F}_q\) ⋮ Constructing differentially 4-uniform involutions over \(\mathbb{F}_{2^{2k}}\) by using Carlitz form ⋮ Permutations of finite fields with prescribed properties ⋮ Regular complete permutation polynomials over \(\mathbb{F}_{2^n} \)

Cites Work

• Cycle decomposition by disjoint transpositions
• Cycle decomposition by transpositions
• The period lengths of inversive pseudorandom vector generations
• On the cycle structure of repeated exponentiation modulo a prime
• On inversive maximal period polynomials over finite fields
• Cycle structure of automorphisms of finite cyclic groups
• Permutations in a finite field
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