Abstract
A new approach to constructing SPN block symmetric ciphers is presented, which allows random S-blocks to be used in ciphers without sacrificing strength.Its basis is an improved construction of a cyclic transformation constructed using the principles of controlled substitutions, when the results of previous substitution transformations are fed to the inputs of the substitution transforms along with the current values of the segments of the input data blocks.This allows you to activate almost all S-blocks of the second and subsequent cipher cycles and, as a result, improve the dynamic indicators of cipher arrival to the state of random substitution. Examples are given of constructing such ciphers and a number of modern ciphers, improved by replacing their first cycles with a cyclic transformation of a new design. The randomness indices of ciphers with improved cycles are estimated. The results of the analysis of their resistance indicators and the possibility of using random substitutions in ciphers are discussed. The results of an experimental verification of the effectiveness of using random S-blocks in new ciphers are demonstrated. It is concluded that the proposed construction of the cyclic function really allows one to construct ciphers in which substitutions from the output of the random substitution generator can be applied practically without selection without reducing the resistance.Keywords: controlled S-blocks, dynamic indicators of the cipher's arrival to the state of random substitution, active S-blocks, random S-blocks, randomness indicators, strength indicators

Keywords
controlled S-blocks, dynamic indicators of the cipher's arrival to the state of random substitution, active S-blocks, random S-blocks, randomness indicators, strength indicators

Cite this paper
Lisickiy K.E., Dolgov V.I., Lisickaya I.V., Cipher with random substitutions , SCIREA Journal of Physics. Volume 4, Issue 6, December 2019 | PP. 281-310.

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