Main Article Content

Abstract

This given article inquires general mathematical characteristics of models of Boolean functions’ logical operations and table replacement. A rule is proposed for modeling the analytical model of the truth table in the form of a Zhegalkin polynomial. It is universal and it allows widespread effective use of it in the development of hardware-software and software cryptographic information security tools. In addition, the generality of the proposed rule will provide a broad effective application in the field of automation and control of processes with digital technologies and tools.

Keywords

mathematical model logical operation table replacement truth table regularity irregularity bit connections Boolean function Zhegalkin polynomial digital technology automation mathematical induction

Article Details

How to Cite
Akbarov, D., Kushmatov, O. E., Umarov, S. A., Bozarov, B. I., & Abduolimova, M. (2021). Research on General Mathematical Characteristics of Boolean Functions’ Models and their Logical Operations and Table Replacement in Cryptographic Transformations. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 2(11), 36-43. Retrieved from http://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/122

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