Synthesis of Discrete and Algebraic Models of Elementary Functions of Data-Controlled Operations

Abstract

Improvement of modern data exchange applications increases the complexity of cybersecurity. This leads to most applicable low-cost cryptographic algorithms becoming ineffective in the near future. On the other hand, CET encryption offers a great opportunity for development of the low-cost cryptography. The following article analyzes previously published results of CET-operations modeling, which serves as the foundation of CET encryption. The CET operations mentioned above use elementary functions as their basis. The results of our analysis allow to conclude that elementary functions of data-controlled operations have not been researched in the past. The primary goal of this article is to research these elementary functions of data-controlled operations and develop a method suitable for synthesis of a group of elementary functions of data-controlled operations. This can assist in automating the process of creating CET operations with defined attributes. This article proves that known discrete models of elementary functions of data-controlled operations do not represent their content and usage specifications during creation of CET operations. We suggest using discrete and algebraic presentation for modeling elementary functions data. The results of our analysis of the synthesized models of elementary functions of data-controlled operations allow us to develop a proper method of their synthesis. This method is adapted for usage in the automated systems of CET-operations modeling. We also provide examples of models of CET operations created based on elementary functions of data-controlled operations. The aforementioned method for synthesis of a group of elementary functions of data-controlled operations allows expanding possibilities for generating these elementary functions within the automated system used for research and creation of CET operations. Presented scientific results can be used for experimental modeling of CET operations, while the implementation algorithms of such operations will be defined by the operations themselves, as well as transformed data. Utilization of these operations allows modification of cryptographic algorithms controlled by encrypted data.