An image encryption algorithm based on the perturbed high-dimensional chaotic map

作者：Tong Xiao Jun^*; Wang Zhu; Zhang Miao; Liu Yang; Xu Hui; Ma Jing

来源：Nonlinear Dynamics, 2015, 80(3): 1493-1508.

DOI：10.1007/s11071-015-1957-9

• Image encryption
• Chaos
• High-dimensional chaotic map
• Perturbation
• Separated Cat map

Due to the secure problems of low-dimensional chaos in image encryption and cycle degradation caused by computers' finite precision, a perturbed high-dimensional chaos is designed for image encryption according to Devaney and topological conjugate definition. Perturbation is added to the new high-dimensional chaos to enlarge cycle. The characteristics of the high-dimensional chaotic map are proved by Devaney definition, and the security features are analyzed. Owe to the periodic defects of Cat map, a new separated Cat map is designed for the confusion process. The "confusion-diffusion" structure is used in the image encryption. The security test results demonstrate the proposed methods have high security, and the speed of our algorithm is faster than classical solutions.

• 出版日期2015-5
• 单位哈尔滨工业大学