Localization of Disturbance Region of Formal Parameters of Steganographic Cover to Ensure Steganosystem Stability

The effectiveness of information security in any industry critically depends on the theoretical basis, which is based on the methods and algorithms used. Existing mathematical approaches do not fully eliminate theoretical problems in information security, leaving the task of their improvement and further development urgent. Today, one of the most effective and powerful means of information security is steganography. Given this, the study aims to increase the efficiency of steganographic systems. The efficiency of a steganographic system is understood as an assessment of its resistance to attacks against an embedded message, with a digital image considered as a cover. The goal of the work is achieved by substantiating the localization of the perturbation region of formal parameters of the complete set, defining the cover as a result of the steganographic transformation, which is the maximum number of blocks of the cover matrix. The most important result of the work is obtaining a sufficient condition for ensuring the resistance of the steganography algorithm to disturbances, which has been practically implemented during the development of the steganographic transformation of the singular decomposition region of the cover matrix and made it possible to increase the steganosystem efficiency by 57% as compared to the prototype. The obtained sufficient condition can be effectively used to select parameters of the steganomethod, which will ensure its relatively significant resistance to disturbing actions and a priori qualitative assessment of the insensitivity degree and reduction of the sensitivity of a steganomessage, as has been demonstrated in this study work using examples of specific steganomethods.