A Novel High-Performance Cryptographic Scheme Integrating Elliptic Curve Security with Max-Plus Algebraic Wavelet Processing

Abstract

The rapid increase in the size of digital communication networks has intensified the level of exposure of text data to countless security dangers, which has modeled the necessity of cryptosystems that are secure and computationally efficient. To overcome this, the current study presents a high-speed text-encryption design based on the merger of elliptic curve cryptography and a wavelet decomposition implemented on the max-plus algebra which provides a better security and processing rates.

All the three stages are consecutive phases in which the encryption pipeline is run. Phase one transforms characters to numerical values through ASCI code and uses a diffusion algorithm to eliminate trends in input statistics. The second phase transforms a set of points at the elliptic curves and deforms them with a randomized mapping conditioning a significant degree of nonlinearity and resisting crytolytic analysis. In phase three, the intermediate representation is converted with the help of a wavelet built where the max-plus algebra is used, which results in creation of a ciphertext with great diffusion and high randomness.