Geodesic
On the accuracy of matrix-graph approach to investigation of transformation mixing properties
Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 57-59

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Experimental results of evaluating the accuracy of matrix-graph approach to investigation of nonlinear transformation mixing properties are obtained. The experiment has been carried out with all those transformations of the binary $n$-dimensional vectors set, for which the mixing graph is the Wielandt graph with $n$ vertices, and also with the round substitutions used in AES, Kuznechik, and Magma block ciphers. It is shown that results obtained by matrix-graph approach are accurate for 25 % of transformations with the mixing Wielandt graph (for $n=9,10,11$) and for round substitutions in AES and Kuznechik algorithms. The results are not accurate for round substitution in Magma algorithm and for 75 % of transformations with the mixing Wielandt graph.
Keywords: mixing properties, matrix-graph approach, Wielandt graph, AES, Kuznechik
Mots-clés : Magma. 
@article{PDMA_2016_9_a22,
     author = {S. N. Kyazhin and P. V. Lebedev},
     title = {On the accuracy of matrix-graph approach to investigation of transformation mixing properties},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {57--59},
     publisher = {mathdoc},
     number = {9},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2016_9_a22/}
}
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S. N. Kyazhin; P. V. Lebedev. On the accuracy of matrix-graph approach to investigation of transformation mixing properties. Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 57-59. http://geodesic.mathdoc.fr/item/PDMA_2016_9_a22/