Choosing Substitutions for Symmetric Cryptographic Algorithms Based on the Analysis of Their Algebraic Properties
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Abstract
An approach for protection symmetric cryptographic primitives against algebraic cryptanalysis is considered in the article. A proof of the minimal order of the system of equations, which describe arbitrary S-box with n-bit input and m-bit output, is given. There are proposed several indicators for S-boxes comparison based on the analysis of block ciphers. Nonlinear components of modern ciphers including AES/Rijndael, Camellia, Kalyna and Labyrinth are compared according to the proposed criterion.
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