Hierarchical Encryption in a Residual Number System

Within this article, a method of symmetric encryption of information based on a hierarchical residue number system has been developed. The corresponding mathematical and algorithmic framework is presented. The proposed approach simplifies hardware implementation and enhances operational speed by reducing modulus sizes and consequently numerical operands at each subsequent level, as well as by parallelizing computational processes. Utilizing this encryption method enables the creation of reliable, efficient, and resistant-to-cryptanalysis systems for protecting information streams. A encryption/decryption scheme and an application example of the method are provided.