Abstract

In this paper, we propose an asymmetric optical double-image cryptosystem based on generalized singular value decomposition (GSVD) and five-dimensional (5D) hyperchaotic maps. In the proposed cryptosystem, the two plain images are first decomposed into five components by the GSVD operation. The two unitary matrices obtained by GSVD are encoded as a complex function, which is then modulated by the chaotic random phase masks (CRPMs). The private key and the final encryption result are generated by phase-truncation and amplitude-truncation operations. The GSVD operation can decompose two images at the same time and is used to generate the private key that enables the encryption process to be asymmetric. Compared with the existing phase-truncated-based cryptosystems, our cryptosystem can improve security against a special attack. In addition, the CRPMs are generated by 5D hyperchaotic maps, which have a larger parameter space and better randomness. Numerical simulation results are shown to verify the feasibility and robustness of our cryptosystem. Furthermore, the proposed cryptosystem can be extended to encrypt multiple images conveniently.

© 2023 Optica Publishing Group

Optical single-channel color image cryptosystem based on vector decomposition and three-dimensional chaotic maps

Mingming Chen and Chen Tang
Appl. Opt. 57(32) 9690-9698 (2018)

Optical image encryption based on biometric keys and singular value decomposition

Shan Tao, Chen Tang, Yuxin Shen, and Zhenkun Lei
Appl. Opt. 59(8) 2422-2430 (2020)

Optical single-channel cryptosystem based on the non-negative matrix factorization and face biometric in cyan–magenta–yellow–black color space

Liao Zhang, Chen Tang, Yuxin Shen, Hongxuan He, Hengyi Tang, and Zhenkun Lei
J. Opt. Soc. Am. A 40(12) 2146-2155 (2023)

Single-lens Fourier-transform-based optical color image encryption using dual two-dimensional chaotic maps and the Fresnel transform

Yonggang Su, Chen Tang, Biyuan Li, Xia Chen, Wenjun Xu, and Yuanxue Cai
Appl. Opt. 56(3) 498-505 (2017)

Optical single-channel cryptosystem based on the discrete wavelet transform and the chaotic standard map for multi-image

Yuxin Shen, Chen Tang, Lixiang Zhou, and Zhenkun Lei
Appl. Opt. 59(30) 9558-9567 (2020)