Rising of Efficiency of Enciphering on the Basis of~Summation of Products
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2014), pp. 199-207.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{VSGTU_2014_2_a17,
     author = {A. I. Nikonov},
     title = {Rising of {Efficiency} of {Enciphering} on the {Basis} {of~Summation} of {Products}},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {199--207},
     publisher = {mathdoc},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2014_2_a17/}
}
TY  - JOUR
AU  - A. I. Nikonov
TI  - Rising of Efficiency of Enciphering on the Basis of~Summation of Products
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2014
SP  - 199
EP  - 207
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2014_2_a17/
LA  - ru
ID  - VSGTU_2014_2_a17
ER  - 
%0 Journal Article
%A A. I. Nikonov
%T Rising of Efficiency of Enciphering on the Basis of~Summation of Products
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2014
%P 199-207
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2014_2_a17/
%G ru
%F VSGTU_2014_2_a17
A. I. Nikonov. Rising of Efficiency of Enciphering on the Basis of~Summation of Products. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2014), pp. 199-207. http://geodesic.mathdoc.fr/item/VSGTU_2014_2_a17/

[1] A. I. Nikonov, “Enciphering on the basis of the sums with products of weight and free components as summands”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2012, no. 4(29), 199–206 (In Russian) | DOI

[2] A. I. Nikonov, “Converting the Sum of Weighted Degrees of Natural Numbers with the Same Parameters”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2010, no. 1(20), 258–262 (In Russian) | DOI

[3] A. I. Nikonov, “On One Property of the Weighed Sums of Equal Powers as Matrix Products”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2010, no. 5(21), 313–317 (In Russian) | DOI

[4] A. I. Nikonov, “Conditions of separability of weight factors from the sums with members of sequences of two aspects”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2013, no. 2(31), 91–100 (In Russian) | DOI

[5] V. A. Il'in, V. A. Sadovnichii, B. Kh. Sendov, Matematicheskiy analiz [Mathematical analysis], v. 2, Moscow State Univ. Press, Moscow, 1987, 358 pp. (In Russian)

[6] N. N. Vorob'yev, Teoriya ryadov [Theory of Series], Nauka, Moscow, 1979, 408 pp. (In Russian)

[7] A. I. Nikonov, “Reduction of the sum of the weight equal powers to explicit combinatorial representation”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2012, no. 3(28), 163–169 (In Russian) | DOI | Zbl

[8] J. A. Anderson, Discrete Mathematics with Combinatorics, Prentice Hall, Upper Saddle River, NJ, 2001, xiv+807 pp. ; Dzh. Anderson, Diskretnaya matematika i kombinatorika, Vilyams, M., 2004, 960 pp. | Zbl

[9] S. V. Sudoplatov, E. V. Ovchinnikova, Elementy diskretnoy matematiki [Elements of. discrete mathematics], INFRA-M, Moscow, 2002, 280 pp. (In Russian)

[10] N. Ya. Vilenkin, Kombinatorika [Combinatorics], Nauka, Moscow, 1969, 328 pp. (In Russian) | Zbl