V.B. Ufimtseva, N.Y. Karpenko

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The article is devoted to the development of the hash-function of the symmetrical transformation of information which is characterized by the improved indices of mixing. The possibilities of applying the mathematical apparatus of the theory of Fibonacci's numbers for fulfilling the operations of cryptographic conversions are analyzed. Practical principles are developed and the properties of the cryptographic transformations of information with the use for the procedures of the coding of the mathematical of the generalized numbers and matrices of Fibonacci are analyzed. The analysis of the indices of statistical safety is done and the effectiveness of the use of matrix conversion of Fibonacci, from the point of view of an improvement in the indices of mixing, with the development of the systems of symmetrical cryptographic coding is experimentally checked and confirmed.