Signal-Enhanced Cross-Coupled Map Lattice andApplication in Spatiotemporal Chaotic Hash Functions

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Abstract

In recent years, nonlinear science, particularly chaotic systems, has garnered significant research interest. Cross-coupled maplattices (CCML) represent a typical spatiotemporal chaotic structure, commonly utilized in data security fields such as hashfunctions. However, traditional CCMLs have a limited chaotic parameter range, and their chaotic effects need enhancement,restricting their application in cryptography. This paper proposes an improved signal-enhanced cross-coupled map lattice(SE-CCML), which addresses the limitations of traditional CCMLs. Through experimental analysis, we demonstrate that theimproved SE-CCML offers a broader continuous chaotic space and exhibits superior chaotic dynamics. These enhancementsmake it more suitable for cryptographic applications, significantly improving security performance compared to its predecessors.Utilizing the designed SE-CCML, we develop a concise new hash function and evaluate its security performance. The resultsindicate that the proposed hash function possesses excellent confusion and diffusion properties, strong resistance to collisions,and high security, effectively withstanding common types of analytical attacks. It meets the requirements for hash functionsacross various domains. Our work provides a novel solution for secure hash functions. The signal-enhanced cross-coupledmap lattice improves the security of spatiotemporal chaotic encryption algorithms, making it applicable to diverse encryptionscenarios such as image encryption and block encryption.

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