Enhanced Security Hash Function Leveraging Chaotic Coupling Coefficient in Cross-Coupled Map Lattice

Abstract

The recent surge in interest within the scientific community towards spatiotemporal chaos underscores its potential for bolstering secure communications and cryptographic mechanisms. This research presents a cutting-edge methodology to amplify the spatiotemporal chaos exhibited by conventional cross-coupled image lattices through the adoption of chaotic coupling coefficients. By innovatively adjusting the structure of these lattices to incorporate chaotic coupling coefficients, we markedly enhance their chaotic dynamics across temporal and spatial dimensions. This advancement facilitates the creation of a secure hash function characterized by substantial security enhancements. Rigorous experimental validation attests to the security, highlighting the chaotic coupling coefficients' pivotal role in augmenting the hash function's defenses against various attacks. This investigation not only introduces a revolutionary alteration to the framework of cross-coupled image lattices but also unveils a pragmatic secure hash function application, demonstrating the significant potential of chaotic systems in the sphere of cryptography. Our findings suggest that integrating chaotic coupling coefficients into cross-coupled image lattices represents a fertile ground for crafting sophisticated cryptographic instruments, thereby paving new pathways in the realm of secure digital communications.