ISSN 2071-8594

Russian academy of sciences


Gennady Osipov

V.L. Stefanuk, A.H. Alhussain The control of the level of symbol information safety with the use of integer-valued splitting method


Application of module arithmetic in the problem of control of the level information safety is demonstrated in the paper with the use of a new technique referred to in the paper as integer-valued splitting. The basic definitions and concepts of the method are provided. Arousing mathematical mapping is described in details, its properties have been studied and the basic theorems have been proven with the purpose to justify the use of splitting in practical applications. The corresponding system for safe symbol transmission was programmed and used in the paper to illustrate some special features of the approach.


module arithmetic, integer splitting method, level of splitting, integer-valued splitting properties, integer transformations, integer-valued symbol splitting.

PP. 86-92.


1. Chervyakov N.I., Lyakhov P.A., Babenko M.G., Lavrinenko I.N., Lavrinenko A.V., Computer calculations based on the modular algebra // Publishing and Information Centre «Fabula», 2015 , 210 p.
2. V.L. Stefanuk, A.H. Alhussain, Symmetric Encryption on the Вase of Splitting Method// Bulletin of PFUR, Series Mathematics. information Sciences. Physics, № 2, 2016, p.53-61.
3. V.L. Stefanuk, A.H. Alhussain, Cryptography and encryption as the methods of information protection, information - telecommunication technologies and mathematical modeling of high-tech systems, Moscow, People's Friendship University, 18-22 April, 2016, p.181-182.
4. V.L. Stefanuk, A.H. Alhussain, symmetric encryption based on splitting method // journal «Natural and Technical Sciences »: № 3 (93) 2016 Publishing house « Sputnik+», p.130-133, Russia, Moscow, (p. 141).