New explicit constructions of differentially 4-uniform permutations via special partitions of \(\mathbb{F}_{2^{2 k}}\)

DOI10.1016/j.ffa.2016.03.003zbMath1408.94957OpenAlexW2311450064MaRDI QIDQ285462

Chik How Tan, Jie Peng

Publication date: 19 May 2016

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2016.03.003

zbMATH Keywords

\(\omega\)-congruentcoset of subgroupdifferentially 4-uniformpermutation functionS-box

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Finite fields (field-theoretic aspects) (12E20)

Related Items (12)

Implicit Quadratic Property of Differentially 4-Uniform Permutations ⋮ On the construction of differentially 4-uniform involutions ⋮ A note on the differential spectrum of a differentially 4-uniform power function ⋮ New differentially 4-uniform permutations from modifications of the inverse function ⋮ Vectorial Boolean functions with very low differential-linear uniformity using Maiorana-McFarland type construction ⋮ More low differential uniformity permutations over \(\mathbb{F}_{2^{2 k}}\) with \(k\) odd ⋮ On CCZ-equivalence between the Bracken-Tan-Tan function and power functions ⋮ Differentially low uniform permutations from known 4-uniform functions ⋮ Involutory differentially 4-uniform permutations from known constructions ⋮ On constructions and properties of \((n,m)\)-functions with maximal number of bent components ⋮ Constructing new differentially 4-uniform permutations from known ones ⋮ Constructing differentially 4-uniform involutions over \(\mathbb{F}_{2^{2k}}\) by using Carlitz form

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