On Maxima Distribution of Full Differentials and Linear Hulls of Block Symmetric Ciphers

The problem of determination of maxima distribution laws of full differentials and linear bias of block symmetric ciphers as substitution transformations is considered. Well-known theoretical results, published in literature, are given, as well as experiment results on making the laws of maxima distribution of full differential transitions and maximum biasess of linear hulls for reduced cipher model from Belorussian standard and cipher Kalina, which practically confirm theoretical calculations, are presented. The results testify that maximum values of differential and linear probabilities are concentrated close to their average values and for evaluation of indexes of cipher provable security it's enough to make a test of proximity of differential and linear cipher indexes, received for one arbitrarily taken cipher key corresponding to indexes of random substitutions.

Provided by: mecs-press Topic: Security Date Added: Nov 2013 Format: PDF

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