Algorithms for Solving Problems of Cryptographic Protection of Color Image Pixels in the Rademacher’s Basis and Residue Number Systems

Abstract

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.