A novel image encryption scheme using a new hyperchaotic 2D-SQICS model and random area selected permutation
Zhen Li, Shuang Zhang, Weijie Tan, Xianming Wu · Physica Scripta · 2025
Abstract In today’s digital era, protecting multimedia content during transmission is crucial, and chaotic map-based image encryption methods play a vital role. To overcome challenges related to both performance and security, we introduce an innovative discrete chaotic system, the two-dimensional sinusoidal-quadratic infinite collapse system (2D-SQICS). This system demonstrates strong hyperchaotic behavior for θ ∈ (0, 1), with its phase plane trajectories fully covering the space, showcasing its unique potential for image encryption. Building on the 2D-SQICS system, we propose a novel image encryption scheme that incorporates an innovative permutation method, referred to as the random area selected permutation. This method employs a plaintext-related internal key generation strategy, ensuring high sensitivity to variations in the plaintext image. Furthermore, we introduce a random non-overlapping region marking algorithm to select and rearrange pixel values, followed by a diffusion process to generate the ciphertext image. Experimental results and comprehensive security analyses highlight the security and effectiveness of our cryptosystem. Specifically, our scheme demonstrates a large key space, high sensitivity to both plaintext and keys, as well as strong resistance to statistical attacks. It also yields favorable results in information entropy and robustness analyses. The comparison results show that our scheme outperforms existing methods in terms of both security and performance, establishing it as an excellent solution for safeguarding image data in open-network communications.