Permutation polynomials of the form \(x + \gamma \mathrm{Tr}_q^{q^n}(h(x))\)
type: Item
instance of: scholarly article
title: Permutation polynomials of the form \(x + \gamma \mathrm{Tr}_q^{q^n}(h(x))\)
zbMATH Open document ID: 1427.11140
author: Zhengbang Zha
author: Lei Hu
author: Zhizheng Zhang
published in: Finite Fields and their Applications
publication date: 2019-11-22T00:00:00Z
Mathematics Subject Classification ID: 11T06
zbMATH DE Number: 7135100
zbMATH Keywords: finite field
zbMATH Keywords: permutation polynomial
zbMATH Keywords: trace function
MaRDI profile type: Publication
full work available at URL: j.ffa.2019.101573
OpenAlex ID: W2965456502
cites work: On constructing permutations of finite fields
cites work: Permutations via linear translators
cites work: On a Class of Permutation Polynomials over $\mathbb{F}_{2^n}$
cites work: When does \(G(x)+\gamma \, \text{Tr}(H(x))\) permute \(\mathbb F_{p^n}\)?
cites work: Sparse permutations with low differential uniformity
cites work: Further results on complete permutation monomials over finite fields
cites work: Permutation polynomials over finite fields -- a survey of recent advances
cites work: Constructing permutations of finite fields via linear translators
cites work: Permutation polynomials of the form \(X + \gamma \mathrm{Tr}(X^k)\)
cites work: Permutation polynomials of the form \(cx+\mathrm{Tr}_{q^l/ q}(x^a)\) and permutation trinomials over finite fields with even characteristic
cites work: A note on permutation polynomials over finite fields
cites work: Specific permutation polynomials over finite fields
cites work: Handbook of finite fields
cites work: Permutation polynomials and group permutation polynomials
cites work: Two classes of permutation polynomials having the form \((x^{2^m}+x+\delta)^s+x\)
cites work: A class of new permutation trinomials
cites work: Cyclotomic Mapping Permutation Polynomials over Finite Fields
cites work: Permutation polynomials over finite fields from a powerful lemma
cites work: SOME FAMILIES OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS
DOI: 10.1016/J.FFA.2019.101573
Recommended article: Permutation polynomials of the form \(X + \gamma \mathrm{Tr}(X^k)\)
Recommended article: 5. Results on permutation polynomials of shape xt + γTrq n/q(xd)
Recommended article: Q4954643
Recommended article: Q6043490
Recommended article: Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\)
Recommended article: On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$
Recommended article: Permutation polynomials of \(\mathbb F_{q^2}\) of the form \(aX+X^{r(q-1)+1}\)
Recommended article: Permutation polynomials of the form \(cx+\mathrm{Tr}_{q^l/ q}(x^a)\) and permutation trinomials over finite fields with even characteristic
Recommended article: On permutation polynomials of the formx1+2k+ L(x)
Recommended article: Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
description: scientific article; zbMATH DE number 7135100