Large classes of permutation polynomials over \(\mathbb {F}_{q^2}\)

DOI10.1007/s10623-015-0172-5zbMath1396.11139arXiv1510.02021OpenAlexW3125502342MaRDI QIDQ329193

Yanbin Zheng, Pingzhi Yuan, Pei Dingyi

Publication date: 21 October 2016

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02021

zbMATH Keywords

finite fieldpermutationAGW criterioncommutative diagram

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06)

Related Items (11)

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 \(\mathbb{F}_{q^2}\) ⋮ New constructions of permutation polynomials of the form \(x^rh\left( x^{q-1}\right) \) over \({\mathbb F}_{q^2}\) ⋮ The additive index of polynomials over finite fields ⋮ A recursive construction of permutation polynomials over \(\mathbb F_{q^2}\) with odd characteristic related to Rédei functions ⋮ Further results on complete permutation monomials over finite fields ⋮ Permutation polynomials and their compositional inverses over finite fields by a local method ⋮ On inverses of some permutation polynomials over finite fields of characteristic three ⋮ Constructing permutation trinomials via monomials on the subsets of \(\mu_{q+1}\) ⋮ Further results on permutation polynomials via linear translators ⋮ Two classes of permutation trinomials with Niho exponents over finite fields with even characteristic ⋮ Two classes of permutation trinomials with Niho exponents

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