A Fast Image Encryption Scheme based on Chaotic Standard Map

In recent years, a variety of effective chaos-based image cryptosystems have been proposed. One of the architectures of this kind of cryptosystems is composed of multiple rounds of substitution and diffusion. As the confusion and diffusion effects are solely contributed by the substitution and the diffusion stages, respectively, the required overall rounds of operations in achieving a certain level of security is found more than necessary. In this Letter, we suggest to introduce a certain diffusion effect in the substitution stage by simple sequential add-and-shift operations. Although this leads to a longer processing time in a single round, the overall encryption time is reduced as fewer rounds are required. Simulation results show that at a similar performance level, the proposed cryptosystem needs less than one-third the encryption time of an existing fast cryptosystem. The effective acceleration of chaos-based image cryptosystems is thus achieved.

[1]  Jinsheng Sun,et al.  A block cipher based on a suitable use of the chaotic standard map , 2005 .

[2]  C. Chui,et al.  A symmetric image encryption scheme based on 3D chaotic cat maps , 2004 .

[3]  Shiguo Lian,et al.  Security Analysis of A Chaos-based Image Encryption Algorithm , 2005, ArXiv.

[4]  Guanrong Chen,et al.  A Novel Fast Image Encryption Scheme Based on 3D Chaotic Baker Maps , 2004, Int. J. Bifurc. Chaos.

[5]  Douglas R. Stinson,et al.  Cryptography: Theory and Practice , 1995 .

[6]  Z. Guan,et al.  Chaos-based image encryption algorithm ✩ , 2005 .

[7]  Vinod Patidar,et al.  Image encryption using chaotic logistic map , 2006, Image Vis. Comput..

[8]  Uvais Qidwai,et al.  Binary image transformation using two-dimensional chaotic maps , 2004, Proceedings of the 17th International Conference on Pattern Recognition, 2004. ICPR 2004..

[9]  Vinod Patidar,et al.  Discrete chaotic cryptography using external key , 2003 .

[10]  A. Pisarchik,et al.  Encryption and decryption of images with chaotic map lattices. , 2006, Chaos.

[11]  W. Tang,et al.  A fast image encryption system based on chaotic maps with finite precision representation , 2007 .

[12]  Yong Feng,et al.  A symmetric image encryption approach based on line maps , 2006, 2006 1st International Symposium on Systems and Control in Aerospace and Astronautics.

[13]  J. Fridrich Symmetric Ciphers Based on Two-Dimensional Chaotic Maps , 1998 .

[14]  M. Baptista Cryptography with chaos , 1998 .

[15]  K. Wong,et al.  A fast chaotic cryptographic scheme with dynamic look-up table , 2002 .