Research on General Mathematical Characteristics of Boolean Functions’ Models and their Logical Operations and Table Replacement in Cryptographic Transformations
D.E. AkbarovDoc.physical-mat. Sci., Kokand SPI, Kakand, UzbekistanО. Э. КушматовFergana branch of the Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Tashkent, UzbekistanШ.А. Умаров2Fergana branch of the Tashkent University of Information Technologies named after Muhammad al-Khwarizmi, Tashkent, UzbekistanBakhromjon BozarovFergana, Uzbekistan, Ferghana Polytechnic institute, Fergana, UzbekistanM.Q. AbduolimovaFergana, Uzbekistan, Ferghana Polytechnic institute, Fergana, Uzbekistan
2021en
Ochiq kirishOlmos
Litsenziya: cc-by
ABI
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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.
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