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Modeling a reverse two-operand four-digit operation of minimal complexity for strictly sustainable cryptographic coding

I. Fedotova-Piven, N. Lada, O. Melnik, M. Pustovit
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Description: The article is devoted to the modeling of matrix operations of cryptographic transformation of information. The logical functions were applied in the operation matrix cryptographic transformation of information based on addition modulo two for the protection of the confidential information resources. It was developed a construction technology of the reverse two-operand four-digit operation of minimal complexity with a property of strictly sustainable cryptographic coding. Initially, the reverse four-digit single-operand operations of minimal complexity were constructed by the method of synthesis of reverse matrix cryptographic transformations. A model of a simplified two-operand four-digit operation of minimal complexity was constructed without taking into account the signals of the inversion of functions, then a truth table was constructed for the synthesis of the inverse function signal processing model. A model for processing inversion signals is constructed. As a result of minimization, a reverse four-digit two-operand operation of minimal complexity of strictly sustainable cryptographic coding is constructed. Such strictly sustainable cryptographic coding is essential for reducing any correlation between the values of digits of an unencoded and coded message when attempting to decode a coded message. The proposed technology for constructing a reverse two-operand four-digit operation of minimal complexity with the strictly sustainable cryptographic coding property is verified by creating one of the two-operand four-digit operations for stream encryption. The applying of proposed technology of constructing a reverse two-operand four-digit operation of minimal complexity with the strictly sustainable cryptographic coding property allows to construct of highly reliable systems of cryptographic information protection systems and to improve their cryptographic strength.


Keywords: cryptographic transformation, logical functions, addition modulo two, strictly sustainable cryptographic encoding, matrix operations, mathematical model, reverse operation

References

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Reference:
 Fedotova-Piven, I.M., Lada, N.V., Melnyk, O.H. and Pustovit, M.O. (2019), “Tekhnolohiia pobudovy obernenoi dvokhoperandnoi chotyrokhrozriadnoi operatsii minimalnoi skladnosti dlia strohoho stiikoho kryptohrafichnoho koduvannia” [Modeling a reverse two-operand four-digit operation of minimal complexity for strictly sustainable cryptographic coding], Information Processing Systems, Vol. 1(156), pp. 101-105. https://doi.org/10.30748/soi.2019.156.13.