V. O. Osipyan
Kuban State University
14 Papers
27 Citations
V. O. Osipyan is an academic researcher from Kuban State University. The author has contributed to research in topics: Diophantine equation & Cryptosystem. The author has an hindex of 4, co-authored 10 publications.
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Papers
Development of information security system mathematical models by the solutions of the multigrade Diophantine equation systems
V. O. Osipyan,K. I. Litvinov,R. Kh. Bagdasaryan,E. P. Lukashchik,S. G. Sinitsa,A. S. Zhuk +5 more
- 12 Sep 2019
TL;DR: In this paper there are theorems that demonstrate the validity of using Diophantine equations parametric solutions properties for information security system mathematical models, and the proof of a generalization of the known Frolov's theorem is done and represented.
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Building of alphabetic data protection cryptosystems on the base of equal power knapsacks with Diophantine problems
V. O. Osipyan
- 25 Oct 2012
TL;DR: The theorems about equal power knapsacks, components of which are the parametrical solution of Tarry-Ascot multistage Diophantine equation system or the numerical solution of such a system were formulated, and mathematical models of alphabet cryptosystems, based on non-standard knapsack, and Merkle-Hellman scheme are adduced.
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Mathematical modelling of cryptosystems based on Diophantine problem with gamma superposition method
V. O. Osipyan
- 08 Sep 2015
TL;DR: The mathematical model of cryptosystem based on the method of gamma superposition, in which the algorithm of the inverse transformation of the closed text is reduced to the impossibility of problem solution is developed, and the problem of working out of alphabetic Cryptosystems mathematical models is considered.
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Different models of information protection system, based on the functional knapsack
V. O. Osipyan
- 14 Nov 2011
TL;DR: This study offers an algorithm of building of universal and generalized public-key information protection system based on easy functional knapsack problem KF, which allows to control in a more secure and flexible way the key space and key inputs.
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Mathematical model of the polyalphabetic information security system based on the normal generalized knapsack
V. O. Osipyan
- 09 Sep 2014
TL;DR: The algorithm of packing the normal generalized knapsack with predetermined threshold value p and cryptosystem with the open key based on p-ary Warshamov's code with generalizedknapsack's function is proposed.
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