A mathematical model of the cryptosystem based on the linear Diophantine equation-Reference-Cited by-同舟云学术

A mathematical model of the cryptosystem based on the linear Diophantine equation

Published:2018-09-10 Issue: Volume: Page:
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Container-title:Proceedings of the 11th International Conference on Security of Information and Networks
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Author:

Osipyan Valeriy O.¹,Litvinov Kirill I.¹

Affiliation:

1. Kuban State University, Russian Federation

Publisher

ACM

Link

https://dl.acm.org/doi/pdf/10.1145/3264437.3264464

Reference13 articles.

1. C. Shannon. Communication theory of secrecy systems Bell System Techn. J. 28 № 4 -- 1949. P. 656--715. C. Shannon. Communication theory of secrecy systems Bell System Techn. J. 28 № 4 -- 1949. P. 656--715.

2. Yu. V. Matiyasevich "Diophantine sets" Uspekhi Mat. Nauk 27: 5(167) p. 185--222. Yu. V. Matiyasevich "Diophantine sets" Uspekhi Mat. Nauk 27:5(167) p. 185--222.

3. L.E. Dickson. History of the Theory of Numbers. vol.2. Diophantine Analysis. N.Y.1971. L.E. Dickson. History of the Theory of Numbers. vol.2. Diophantine Analysis. N.Y.1971.

4. V. O. Osipyan. Mathematical modelling of cryptosystems based on Diophantine problem with gamma superposition method // SIN '15 Proceedings of the 8th International Conference on Security of Information and Networks ACM 2015. pp 338--341. 10.1145/2799979.2800026 V. O. Osipyan. Mathematical modelling of cryptosystems based on Diophantine problem with gamma superposition method // SIN '15 Proceedings of the 8th International Conference on Security of Information and Networks ACM 2015. pp 338--341. 10.1145/2799979.2800026

5. V.O. Osipyan. Building of alphabetic data protection cryptosystems on the base of equal power knapsacks with Diophantine problems // ACM 2012 pp.124--129. 10.1145/2388576.2388593 V.O. Osipyan. Building of alphabetic data protection cryptosystems on the base of equal power knapsacks with Diophantine problems // ACM 2012 pp.124--129. 10.1145/2388576.2388593