Algorithms for Solving Problems of Cryptographic Protection of Color Image Pixels in the Rademacher’s Basis 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–Chres...

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Bibliographic Details
Published in:Cybernetics and systems analysis 2019-05, Vol.55 (3), p.474-487
Main Authors: Vozna, N. Y., Nykolaychuk, Y. M., Volynskyi, O. I.
Format: Article
Language:English
Subjects:
Algorithms
Arithmetic
Artificial Intelligence
Color imagery
Control
Cryptography
Digital imaging
Displays (Marketing)
Image processing equipment
Mathematics
Mathematics and Statistics
Number systems
Object recognition
Personal computers
Pixels
Processor Architectures
Residue number systems
Software Engineering/Programming and Operating Systems
Systems Theory
Telecommunications systems
Televisions
Video cameras
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Summary: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.
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-019-00155-2