On a conjecture of differentially 8-uniform power functions
type: Item
instance of: scholarly article
title: On a conjecture of differentially 8-uniform power functions
zbMATH Open document ID: 1402.11149
author: Maosheng Xiong
author: Haode Yan
author: Pingzhi Yuan
published in: Designs, Codes and Cryptography
publication date: 2018-07-03T00:00:00Z
Mathematics Subject Classification ID: 11T06
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 11T71
Mathematics Subject Classification ID: 11L05
zbMATH DE Number: 6898265
zbMATH Keywords: power permutations
zbMATH Keywords: differential uniformity
zbMATH Keywords: differential spectrum
zbMATH Keywords: Kloosterman sums
MaRDI profile type: Publication
full work available at URL: s10623-017-0416-7
OpenAlex ID: W2761692269
Wikidata QID: Q123290857
cites work: On the solution of algebraic equations over finite fields
cites work: Differential cryptanalysis of DES-like cryptosystems
cites work: More differentially 6-uniform power functions
cites work: Differential properties of power functions
cites work: Differential Properties of ${x\mapsto x^{2^{t}-1}}$
cites work: Q4737268
cites work: Kloosterman sums and finite field extensions
cites work: Cryptanalysis of Block Ciphers with Overdefined Systems of Equations
cites work: Some new three-valued crosscorrelation functions for binary m-sequences
cites work: CCZ equivalence of power functions
cites work: On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\)
cites work: \(X^{2^l+1}+x+a\) and related affine polynomials over \(\mathrm{GF}(2^k\))
cites work: The interpolation attack on block ciphers
cites work: Some new results on permutation polynomials over finite fields
DOI: 10.1007/S10623-017-0416-7
Recommended article: A note on Weyl's inequality for eighth powers
Recommended article: Constructions with high algebraic degree of differentially 4-uniform \((n, n - 1)\)-functions and differentially 8-uniform \((n, n - 2)\)-functions
Recommended article: On sums of eighth powers
Recommended article: On powers of the theta-function greater than the eighth
Recommended article: Some classes of power functions with low \(c\)-differential uniformity over finite fields
Recommended article: Q3829630
Recommended article: Q3474731
description: scientific article; zbMATH DE number 6898265