Development of a method for generating substitution tables for binary and ternary number systems
Timur AbdullaevDepartment of Information Security, Faculty of Applied mathematics and intellectual technologies, National University of Uzbekistan named after Mirzo Ulugbek, City Tashkent, UzbekistanGayrat JuraevDepartment of Information Security, Faculty of Applied mathematics and intellectual technologies, National University of Uzbekistan named after Mirzo Ulugbek, City Tashkent, Uzbekistan
ABI
Аннотация
The article proposes a technique for generating substitution tables for 256 elements for binary and 729 elements for ternary number systems, estimates the correlation coefficients, avalanche effect and nonlinearity (Hamming distance) of the obtained substitution tables, and also describes a computational experiment for finding the coefficients of the Algebraic Normal Form (ANF) the output functions of the table substitution for 729 values (S-box) and the estimation of its algebraic degree of nonlinearity. The resulting S-boxes can be further used as cryptographic primitives in encryption algorithms.
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