STUDY OF MATHEMATICAL MODEL OF TWO-OPERAND GROUP MATRIX CRYPTOGRAPHIC TRANSFORMATION

Abstract

The article considers and theoretically substantiates the results of checking the correctness of the proposed mathematical model for constructing a direct and inverse two-operand group matrix cryptographic transformation using mathematical apparatus of block matrix theory. According to the results of the research, the correctness of mathematical model for constructing an inverse group matrix cryptographic transformation has been established, which is tested on complete sets of group and non-group operations. The proposed model for constructing an inverse group matrix cryptographic transformation provides the correct synthesis of inverse transformation in the absence of non-group operations on the main diagonal of the matrix of group operation. The obtained results confirm the correct construction of inverse transformation on the basis of the proposed model, the implementation of which provides a reduction in the complexity of calculations. This result has shown the correctness of finding the inverse matrix with the help of proposed model.

Keywords

• пряме та обернене криптографічне перетворення
• двохоперандні криптографічні перетворення
• коректність моделі
• матрична операція