Elevating Medical Image Security: A Cryptographic Framework Integrating Hyperchaotic Map and GRU

Weixuan Li, Guang Yu, Quanjun Li, Junhua Zhou, Jiajun Chen, Yihang Dong, Mengqian Wang, Zimeng Li, Changwei Gong, Lin Tang, Xuhang Chen

Abstract: Chaotic systems play a key role in modern image encryption due to their sensitivity to initial conditions, ergodicity, and complex dynamics. However, many existing chaos-based encryption methods suffer from vulnerabilities, such as inade-quate permutation and diffusion, and suboptimal pseudorandom properties. To address these issues, this paper presents the Knot-like Unique Novel-Scan Image Encryption (Kun-IE). The framework comprises two main components: The 2D Sin–Cos Pi Hyperchaotic Map (2D-SCPHM), which provides a broader chaotic range and superior pseudorandom sequence generation, and the Knot-like Unique Novel-Scan Algorithm (Kun-SCAN), a novel permutation mechanism that markedly reduces pixel correlations and enhances resistance to statistical attacks. Kun-IE is flexible and supports encryption for images of any size. Experimental results and security analyses demonstrate its robustness against various cryptanalytic attacks, making it a strong solution for secure image communication. The code is available at this link.

External IDs:dblp:conf/bibm/LiYLZCDWLGTC25