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Cybernetics And Systems Analysis
International Theoretical Science Journal
Volume 55 >>> № 3 MAY — JUNE 2019
UDC 681.322
N.Y. Vozna1, Y.M. Nykolaychuk2, O.I. Volynskyi3


1 Ternopil National Economic University, Ternopil, Ukraine

 nvozna@ukr.net

2 Ternopil National Economic University, Ternopil, Ukraine

 lmnykolaychuk@gmail.com

3 Ternopil National Economic University, Ternopil, Ukraine

 orestsks@ukr.net

ALGORITHMS FOR SOLVING PROBLEMS OF COLOR PIXELS CRYPTIC
PROTECTION IN THE RADEMACHER AND RESIDUE NUMBER SYSTEMS

Abstract. The relevance of the development of theoretical foundations, methods and algorithms for encoding color image pixels by the problem-oriented multifunctional data structuring and the representation of color image code pixels in Rademacher, Krestenson, Rademacher–Krestenson, Haar–Krestenson, and Galois systems is substantiated in this paper. The purpose of the research is to increase the efficiency of the algorithms for digital image transforms, processing and recognition using modular arithmetics with residue number system on the basis of mathematics of arithmetic operations of a non-positional residue number system.

Keywords: algorithms, cryptic protection, color images, theoretical and numerical bases.



FULL TEXT

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