Implementation of A Static Images Protection Method in “Quantum World”

Abstract

This study deals with the mechanism of protection of static (fixed) images, based on the permutation of image points (IP), inscribed in the edges of a regular hexagonal pyramid. In contrast to the classical methods of generating permutations, in which the elementary permutation operation is a permutation of two elements, in the proposed method the elementary operation is parametric, i.e. depends on the input parameters of the algorithm, and can affect the permutation of more than two IP. In the previous paper the rotation of hexagon was chosen as elementary permutation. In the present paper several possible modifications of the elementary permutation are considered, and on the basis of the analysis (criterion) of the number of realizable permutations of the initial sequence of IP (SIP) the most acceptable type of modification for the elementary permutation was chosen. The mechanism of protection of static (fixed) images using the permutation is proposed. The analysis of the persistence of this protection mechanism from attacks such as «brute force» is given, and an option that uses the redundancy of the graphical presentation is proposed. Applied analysis of given mechanism has demonstrated its ability to withstand modern cryptanalytic attacks in the application of quantum computing.

Keywords

• quantum cryptanalysis, pixel, static image, hexagon, contour hexagon, regular pyramid, permutation.