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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2014 Issue 2(35), Pages 199–207 (Mi vsgtu1316)

This article is cited in 1 paper

Discrete Mathematics

Rising of Efficiency of Enciphering on the Basis of Summation of Products

A. I. Nikonov

Samara State Technical University, Samara, 443100, Russian Federation

Abstract: The properties of the code numbers made on the basis of the sums with products of weight and free components are considered. Free components appear here, at first, as equal powers of members of an arithmetical progression, secondly, as members of a geometrical progression, and, in the third, as members of sequence of the combined type. Besides, the structure of the specified properties includes character of a modification of relative summarized residuals depending on a modification of parameters of considered aspects of sequences. With respect to the introduction of a membership of parameters of considered sequences to set of real numbers the made code number also is characterized by the raised efficiency.

Keywords: relative summarized residual, functional sequence, sequence parameter, difference, derivative.

UDC: 519.72:004.056.55

MSC: Primary 68P25; Secondary 05A10

Original article submitted 23/IV/2014
revision submitted – 18/V/2014

DOI: 10.14498/vsgtu1316



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