Modeling a method for generating a stream of secret keys in the form of permutation matrices for encryption-masking of video frames and studying its characteristics

Abstract

The article considers a method of forming a stream of secret matrix keys in the form of permutation matrices. On the basis of consideration of the advantages of matrix models and cryptosystems for masking video frames, the urgent need to form a stream of secret matrix keys (MKs) is stressed. It is shown that, taking into account of crypto-transformations in matrix affine-permutation ciphers, a number of keys in the form of permutation matrices (MPs) are required for the successful use of the latter in frame masking tasks. To solve this problem the article proposes a approach of generating a series of MKs (MPs). The method is based on the use of a series of crypto-transformations of the base key using affine encryption while changing the keys of this cipher in accordance with the generated random sequence. Functionality and advantages of the proposed method are demonstrated by model experiments in the Mathcad, screenshots the created modules. The properties of a set of generated MKs (MPs) were investigated using mutual correlation and equivalence normalized functions. Adequacy and stability of the method were confirmed. The advantage of the method is the focus on parallel processing, ease of adaptation to different formats of images, isomorphism of visualization of keys.