METHODS AND SYSTEMS OF INFORMATION PROTECTION, INFORMATION SECURITY

Construction of a reversible full-cycle transformation in a threshold basis

V. G. Nikonov^a, A. I. Zobov<sup>b

a</sup> Russian Academy of Natural Sciences
^b Foundation for the Promotion of Secure Information Technologies

Abstract: The article describes a class of full-cycle transformations in the threshold basis, defined by matrices of coefficients of linear forms, and proves that the definition of the inverse transformation is carried out using a system of threshold functions, the coefficients of which form the transposed matrix with respect to the original one.

Keywords: substitution, threshold function, full cycle.

UDC: 519.7

DOI: 10.33693/2313-223X-2023-10-2-36-41