MATHEMATICAL MODEL AND SOFTWARE CALCULATOR FOR EVALUATING MEDIA CONTENT ENCRYPTION PARAMETERS
Abstract
In the context of the rapid development of digital technologies and the growing volume of multimedia content transmitted over open telecommunication channels, fundamental issues of information security are of critical importance. Multimedia data regularly become targets of cyberattacks and unauthorized access. The practical application of encryption requires consideration of numerous technical factors, as media content fundamentally differs from transactional data due to its specific entropy characteristics and varying compression potential. Despite the existence of theoretical research, there is currently a shortage of comprehensive mathematical models capable of organically combining performance evaluation, data size variation, and security levels into a single predictive system adaptable to the content type. The article presents a mathematical model and a software calculator for a comprehensive evaluation of multimedia data encryption parameters. The developed predictive model covers four types of media data (video, audio, images, documents) and five popular symmetric encryption algorithms (AES-128, AES-256, ChaCha20, Blowfish, Twofish). Symmetric encryption is considered an indispensable choice for the mass processing of large multimedia files due to its high performance speed. The proposed mathematical apparatus allows for accurate forecasting of the encrypted file size, encryption time, security level, and computational resource requirements with an average error of less than 5 %. To account for the stochastic nature of the processing, a corresponding component was introduced into the model, which allowed the formation of realistic confidence intervals. In addition, the study formulates and solves the problem of multi-criteria optimization for algorithm selection. By applying the Pareto optimality method and normalized weighted sums, the ability to flexibly balance cryptographic security and hardware performance is provided. The forecasting models were successfully verified through full-scale experiments. The validation results proved the high accuracy of the developed apparatus: the root mean square error (RMSE) was 0.21 s, and the maximum relative error did not exceed 3.2 %. It was established that the file size and hardware performance have a decisive influence on the encryption time, while the impact of the media content type is secondary. The practical significance of the work is confirmed by the development of software – an interactive web calculator that encapsulates the mathematical apparatus under an intuitive interface. This software tool is implemented as a single-page application (SPA) capable of generating dynamic recommendations, such as the feasibility of switching to the ChaCha20 algorithm on low-power devices. The created tool is intended for practical use by information security specialists and can be effectively integrated into DevSecOps processes, as well as applied by architects when designing video surveillance systems, streaming platforms, and PACS medical databases.
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