Two new permutation polynomials with the form \({\left(x^{2^k}+x+\delta\right)^{s}+x}\) over \({\mathbb{F}_{2^n}}\)
type: Item
instance of: scholarly article
title: Two new permutation polynomials with the form \({\left(x^{2^k}+x+\delta\right)^{s}+x}\) over \({\mathbb{F}_{2^n}}\)
zbMATH Open document ID: 1215.11116
author: Xiangyong Zeng
author: Xishun Zhu
author: Lei Hu
published in: Applicable Algebra in Engineering, Communication and Computing
publication date: 2010-04-20T00:00:00Z
Mathematics Subject Classification ID: 11T06
zbMATH DE Number: 5695464
zbMATH Keywords: finite field
zbMATH Keywords: permutation polynomial
MaRDI profile type: Publication
full work available at URL: s00200-010-0120-6
OpenAlex ID: W2099205134
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cites work: New Kloosterman sums identities over \(\mathbb F_{2^m}\) for all \(m\).
cites work: A class of permutation polynomials of \(\mathbb F_{2^m}\) related to Dickson polynomials
cites work: When Does a Polynomial Over a Finite Field Permute the Elements of the Field?
cites work: When Does a Polynomial over a Finite Field Permute the Elements of the Field?, II
cites work: Q3136948
cites work: Four classes of permutation polynomials of \(\mathbb F_{2^m}\)
cites work: Permutation polynomials of the \((x^p - x+\delta)^s+L(x)\)
cites work: Construction of cryptographically important Boolean permutations
DOI: 10.1007/S00200-010-0120-6
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description: scientific article; zbMATH DE number 5695464