Алгоритми розв'язання задач криптозахисту пікселів кольорових зображень у базисі Радемахера та залишкових класах / Возна Н. Я., Николайчук Я. М., Волинський О. І. (2019)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2019, 55 (3))

Vozna N.Y., Nykolaychuk Y.M., Volynskyi O.I.
Algorithms for solving problems of color pixels cryptic protection in the rademacher and residue number systems

This paper substantiates the urgency of developing theoretical foundations, methods, and algorithms for cryptographic protection of color image pixels using problem-oriented multifunctional data structuring and representing codes of color image pixels in the Rademacher, Chrestenson, Rademacher–Chrestenson, Haar–Chrestenson, and Galois systems and investigates the possibility of increasing the operating speed of algorithms for transforming, processing, and recognizing digital images using the modular arithmetic of residue number systems based on the mathematics of arithmetic operations of a non-positional residue number system. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: algorithm, color image, cryptoprotection, number-theoretic basis, Algorithms, Cryptography, Metadata, Numbering systems, Pixels, Arithmetic operations, Color images, cryptoprotection, Modular arithmetic, number-theoretic basis, Operating speed, Residue number system, Theoretical foundations, Color


Cite:
Vozna N.Y., Nykolaychuk Y.M., Volynskyi O.I. (2019). Algorithms for solving problems of color pixels cryptic protection in the rademacher and residue number systems. Cybernetics and Systems Analysis, 55 (3), 149-163. doi: https://doi.org/10.1007/s10559-019-00155-2 http://jnas.nbuv.gov.ua/article/UJRN-0000986326 [In Ukrainian].


 

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