@article{Zhu2025, 
author = {Yingfang Zhu and Erxi Zhu},
title = {A multi-image encryption algorithm based on hybrid chaotic map and computer-generated holography},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {9},
pages = {21209-21239},
keywords = {multi-image encryption, chaotic map, computer-generated holography, security analysis, dynamical analysis, phase retrieval},
url = {https://www.sciopen.com/article/10.3934/math.2025947},
doi = {10.3934/math.2025947},
abstract = {In response to the critical challenges of securing multi-image transmissions in cloud and 5G/6G networks, this paper proposes an innovative encryption algorithm that synergistically combines hybrid chaotic maps with computer-generated holography (CGH). The authors introduce three groundbreaking contributions: (1) A novel integrated chaotic system (NICS) fusing logistic, sinus, and tent mappings through modular arithmetic to achieve full-range chaos with a        10          84       key space and 40% higher Lyapunov exponents; (2) An enhanced Gerchberg Saxton algorithm incorporating adaptive feedback to accelerate convergence by 35% while enabling parallel encryption of eight    512  ×  512 images; (3) A dynamic secure hash algorithm 256 (SHA-256) bits based key binding mechanism that resists chosen plaintext attacks. Extensive experiments validate the exceptional performance metrics: Information entropy approaching the theoretical maximum (7.992±0.005), near-zero adjacent pixel correlation (< 0.004), and robust resistance to noise (20%) and cropping attacks (60% recovery at 60% loss). The algorithm's practical superiority is demonstrated through 2.3× faster processing speeds compared with conventional methods, along with successful deployments in medical imaging and military communication systems, establishing a new benchmark for secure multi-image transmission in next-generation networks.}
}