Maqola

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

AIP conference proceedingsjournal2021en

ABI

Annotatsiya

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.

Mavzular

Fractal and DNA sequence analysis Coding theory and cryptography Algorithms and Data Compression

Identifikatorlar

DOI: 10.1063/5.0056841

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