Geodesic
Algorithm of construction of optimal according to criterion of zero correlation non-binary $S$-boxes
Problemy fiziki, matematiki i tehniki, no. 3 (2015), pp. 94-97

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This paper considers the construction of cryptographic $S$-boxes of the length $N=3^k$, which are optimal from the point of view of the absence of correlation between the output and input vectors. Constructed sets of $S$-boxes can be recommended for upgrading of the existing block symmetric ciphers, as well as for the synthesis of new high-speed encryption algorithms based on the principles of multi-valued logic.
Keywords: $S$-box, Kim scheme.
Mots-clés : matrix of correlation coefficients 
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     author = {O. N. Zhdanov and A. V. Sokolov},
     title = {Algorithm of construction of optimal according to criterion of zero correlation non-binary $S$-boxes},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {94--97},
     publisher = {mathdoc},
     number = {3},
     year = {2015},
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     url = {http://geodesic.mathdoc.fr/item/PFMT_2015_3_a16/}
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O. N. Zhdanov; A. V. Sokolov. Algorithm of construction of optimal according to criterion of zero correlation non-binary $S$-boxes. Problemy fiziki, matematiki i tehniki, no. 3 (2015), pp. 94-97. http://geodesic.mathdoc.fr/item/PFMT_2015_3_a16/