The block parametric matrix affine-permutation ciphers (BP_MAPCs) with isomorphic representations and their research

Abstract

First, we will give a brief overview of the proposed multifunctional block parametric MAPSs, their subspecies of vector affine permutation ciphers (VAPSs), and show that to achieve the goal it is advisable to use the isomorphism of various representations of permutations (matrices or vectors), which act as the main and block-wise, vector matrix keys. Modeling confirms the adequacy of the proposed block parametric ciphers (MAPS) with isomorphic representations of the MP of significant dimensions and blocks and their good characteristics, their advantages, including increased stability and enhanced functionality. The processes of crypto-transformations, generation of MP, main MP and turn-key processes, their advantages are clearly shown by a number of model experiments. The models are simple, convenient, adapted for multi-format and color images, implemented by matrix processors, have high efficiency, stability, and speed.