A new class of differential 4-uniform permutations from exponential permutation

DOI10.1007/S00200-021-00528-1OpenAlexW3205454984WikidataQ115609101 ScholiaQ115609101MaRDI QIDQ6080425

Rajendra K. Sharma, Yogesh Kumar, P. R. Mishra

Publication date: 30 October 2023

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-021-00528-1

zbMATH Keywords

permutationsBoolean functionsdifferential uniformity

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Cryptography (94A60) Boolean functions (06E30)

Cites Work

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• APN permutations on \(\mathbb Z_n\) and Costas arrays
• Nonlinear functions in abelian groups and relative difference sets.
• Two classes of differentially 4-uniform permutations over \(\mathbb{F}_{2^n}\) with \(n\) even
• Constructing new differentially 4-uniform permutations from the inverse function
• Cryptanalysis of a Theorem: Decomposing the Only Known Solution to the Big APN Problem
• SAFER K-64: A byte-oriented block-ciphering algorithm
• On the Nonlinearity of Exponential Welch Costas Functions
• Constructing Differentially 4-Uniform Permutations Over <formula formulatype="inline"><tex Notation="TeX">${\BBF}_{2^{2k}}$</tex> </formula> via the Switching Method

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