Lexicographic Order and Its Application in Testing the Randomness of DES S-boxes
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Graphical Abstract
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Abstract
This paper consists of two parts, the forst of which prover a theorem that can calculate the lexicographic order of a permutation. In the second part the paper applies the lexicograhic order to test the randomness fo the DES S-boxws by two means-Pearson χ2 test and Kolmogorov test.
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