Applications of the R-Transform for Advancing Cryptographic Security

Abstract

Cryptography, the discipline of disguising information, relies on mathematical principles for encoding and decoding data. This chapter presents an inventive approach to encrypting and decrypting messages, utilizing the R-transformation, an essential integral transform, and the congruence modulo operator. The research illustrates the pragmatic application of these mathematical tools in securing communication through the encoding of sensitive information. By investigating the integration of the R-transformation and modulo operations, this study seeks to highlight their effectiveness in reinforcing the privacy and integrity of data. Through thorough experimentation and analysis, this research introduces a groundbreaking methodology for cryptographic encoding and decoding, shedding light on its potential to fortify the security of confidential information transmission.