Development of algorithms for data transmission in sensor networks based on fully homomorphic encryption using symmetric Kuznyechik algorithm

Abstract

Abstract The article presents the development of algorithms for data transmission in wireless sensor networks based on fully homomorphic encryption (FHE) using a symmetric encryption algorithm Kuznyechik. During the study, the main points related to the use of modern sensor networks were considered: data transfer protocols, the most common vulnerabilities and various emulators of sensor networks. Approaches to the use of homomorphic encryption for data exchange are considered. An algorithm for the interaction of the base station and sensor nodes of the sensor network for data exchange based on FHE using the Kuznyechik algorithm has been developed. To use the encryption algorithm Kuznyechik as part of the FHE, an algorithm for constructing Zhegalkin polynomials for nonlinear cipher elements has been developed and implemented. For the encryption algorithm Kuznyechik, for the first time, Zhegalkin polynomials are obtained, which describe the operation of the replacement S-block. The use of the obtained Zhegalkin polynomials makes it possible to decrypt the data encrypted by the Kuznyechik algorithm and at the same time leave them in the encrypted form of the FHE.