Bounds on the maximum nonlinearity of permutations on the rings $${\mathbb {Z}}_p$$ and $${\mathbb {Z}}_{2p}$$
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory
Link
https://link.springer.com/content/pdf/10.1007/s00200-022-00594-z.pdf
Reference18 articles.
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3. Biham, E., Shamir, A.: Differential cryptanalysis of DES-like cryptosystems. J. Cryptol. 4, 3–72 (1991). https://doi.org/10.1007/BF00630563
4. Budaghyan, L., Pott, A.: On differential uniformity and nonlinearity of functions. Discrete Math. 309, 371–384 (2009). https://doi.org/10.1016/j.disc.2007.12.025
5. Drakakis, K., Gow, R., McGuire, G.: APN permutations on $${\mathbb{Z} }_{n}$$ and Costas arrays. Discrete Appl. Math. 157, 3320–3326 (2009)
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1. Construction of highly nonlinear permutations on Z2p with differential uniformity at most 8;Finite Fields and Their Applications;2023-12
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