Multi-functional parametric (MFP) matrix-algebraic models (MAM) of cryptographic transformations (CTs) with operations by modulo and their modeling

Abstract

New models with modular operations for MD, images, are proposed and considered. The results of their simulation are presented on the example CT over images, which testify to their correct work, convenience (only 1 procedure and one in essence MK!), adaptability to formats, multi-functionality (combination of operationsof block replacements-permutations, interchangeability of cyclic iterations procedures and matrix substitutions in modulus with convenient choice of parameters and management of transformations and key shapes) and efficiency (orientation to matrix processors). The aspects of matrix algebraic procedures and operations by modulo and creation of MK are considered. The results of simulation of direct and inverse CT, their verification confirmed the adequacy of parametricgeneralized MAM, their convenience, multi-functionality, efficiency for use. They are implemented both programmatically and with matrix processors, have high speed and stability of transformations and adapt to the CT over image of different formats.