Two types of permutation polynomials with special forms

DOI10.1016/j.ffa.2018.10.008zbMath1432.11178arXiv1805.10926OpenAlexW2962895977WikidataQ128919448 ScholiaQ128919448MaRDI QIDQ1734660

Dabin Zheng, Mu Yuan, Long Yu

Publication date: 27 March 2019

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

Full work available at URL: https://arxiv.org/abs/1805.10926

zbMATH Keywords

symbolic computationfinite fieldpermutation polynomial

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

Related Items (16)

Some classes of permutation polynomials of the form \(b(x^q +ax+\delta)^{\frac{i(q^2 -1)}{d}+1}+c(x^q +ax+\delta)^{\frac{j(q^2 -1)}{d}+1}+L(x)\) over \(\mathbb{F}_{q^2}\) ⋮ Further results on permutation polynomials and complete permutation polynomials over finite fields ⋮ Necessary and sufficient conditions of two classes of permutation polynomials ⋮ New constructions of involutions over finite fields ⋮ Permutation polynomials and their compositional inverses over finite fields by a local method ⋮ A general construction of permutation polynomials of \(\mathbb{F}_{q^2}\) ⋮ On inverses of some permutation polynomials over finite fields of characteristic three ⋮ Constructing permutation trinomials via monomials on the subsets of \(\mu_{q+1}\) ⋮ More constructions of \(n\)-cycle permutations ⋮ Two-to-one mappings and involutions without fixed points over \(\mathbb{F}_{2^n}\) ⋮ Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic ⋮ On a type of permutation rational functions over finite fields ⋮ Two classes of permutation trinomials with Niho exponents ⋮ A link between two classes of permutation polynomials ⋮ Further results on permutation trinomials with Niho exponents ⋮ Characterizations and constructions of \(n\)-to-1 mappings over finite fields

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