Browsing by Author "Sysoienko, S.V."

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    Побудова узагальненої математичної моделі групового матричного криптографічного перетворення. GENERAL CONSTRUCTION OF MATHEMATICAL MODEL OF GROUP MATRIX CRYPTOGRAPHIC TRANSFORMATION
    (2018) Сисоєнко, С.В.; Sysoienko, S.V.; Миронець, І.В.; Myronets, I.V.; Бабенко, В.Г.; Babenko, V.H.
    In the process of conducting this scientific research, the model for constructing a cryptographic transformation based on the use of two-operand operations has been improved by implementing hierarchical group transformation, and finding the new relationships between the direct and inverse operations to improve the encryption results. It is proposed to apply the method of increasing the stability of pseudo- random sequences to improve the quality of cryptographic transformation based on the hierarchical application of two-operand information transformation operations. The model of cryptographic transformation has been improved based on the use of two- operand operations, by implementing a hierarchical structure of the transformation to increase the results stability. A method has been developed for increasing the speed of implementation of a group matrix cryptographic transformation based on the proposed generalized mathematical model of a matrix of group cryptographic transformation by reducing the complexity of the construction and implementation of the inverse transform, which provided a reduction of mathematical complexity and speed cryptographic transformation. Based on the study of the mathematical model of two-operand group matrix cryptographic transformations, a generalized (by the number of operands) mathematical model of the matrix of group cryptographic transformation is proposed and its correctness is verified. Based on the generalized mathematical model of the matrix of group cryptographic transformation, a method is developed for increasing the speed of group matrix cryptographic transformation. According to the results of modeling and practical implementation of the developed method, quantitative characteristics of the decrease in complexity and increase in the speed of implementation of the mathematical model of the matrix of group cryptographic transformation were determined which depend on matrices of arbitrary dimension. On the basis of the mathematical apparatus of block matrices, the correctness of the generalized mathematical model for constructing the inverse group matrix cryptographic transformation was verified.