Non-Binary Cryptographic Functions for Symmetric Ciphers

Alexandr Alexandrovich Kuznetsov, Inna Horkovenko, Olena Maliy, Nikita Goncharov, Тетяна Кузнецова, Nikolaj Kovalenko · 2020

This article explores the methods of mathematical description of regular nonlinearity replacement nodes, computing techniques for their design and evaluation of cryptographic indicators. Non-binary functions are also studied with the help of which we form regular nonlinearity replacement nodes. The results of a computational search for S-boxes using the proposed approach are presented. In terms of nonlinearity and autocorrelation, the formed replacement nodes are shown to have improved properties.

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