Differential \(\delta \)-uniformity and non-linearity of permutations over \(\mathbb{Z}_n\)

DOI10.1016/j.tcs.2022.08.031OpenAlexW4294862421MaRDI QIDQ2087452

R. K. Sharma, Nupur Gupta, Yogesh Kumar, P. R. Mishra

Publication date: 21 October 2022

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2022.08.031

zbMATH Keywords

nonlinearitydifferential uniformityinversion permutation

Mathematics Subject Classification ID

Theory of computing (68Qxx)

Uses Software

• SAFER

Cites Work

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• APN permutations on \(\mathbb Z_n\) and Costas arrays
• Polynomial functions (mod m)
• Nonlinear functions in abelian groups and relative difference sets.
• Highly nonlinear mappings
• Affine equivalence and non-linearity of permutations over \(\mathbb Z_n\)
• SAFER K-64: A byte-oriented block-ciphering algorithm
• Nonlinearity of k-cycle permutations on ℤn
• On Almost Perfect Nonlinear Permutations
• Permutation polynomials modulo \(2^w\)

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