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Two classes of differentially 4-uniform permutations over \(\mathbb{F}_{2^n}\) with \(n\) even

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Publication:2008871
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DOI10.3934/amc.2020008OpenAlexW2969538472MaRDI QIDQ2008871

Guangkui Xu, Longjiang Qu

Publication date: 26 November 2019

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2020008


zbMATH Keywords

nonlinearitypermutationinvolutionsubstitution boxalgebraic degreedifferentially 4-uniform function


Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Boolean functions (06E30)


Related Items (4)

A new class of differential 4-uniform permutations from exponential permutation ⋮ Differentially low uniform permutations from known 4-uniform functions ⋮ Constructing differentially 4-uniform involutions over \(\mathbb{F}_{2^{2k}}\) by using Carlitz form ⋮ Low \(c\)-differential uniformity for functions modified on subfields




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