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Entropy 2014, 16(2), 770-788; doi:10.3390/e16020770

A Symmetric Chaos-Based Image Cipher with an Improved Bit-Level Permutation Strategy

1,* , 2
1 School of Information Science and Engineering, Northeastern University, Shenyang 110004, China 2 Department of Computer Science, University of Southern California, Los Angeles, CA 90089-0911, USA
* Author to whom correspondence should be addressed.
Received: 22 November 2013 / Revised: 3 January 2014 / Accepted: 27 January 2014 / Published: 10 February 2014
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Very recently, several chaos-based image ciphers using a bit-level permutation have been suggested and shown promising results. Due to the diffusion effect introduced in the permutation stage, the workload of the time-consuming diffusion stage is reduced, and hence the performance of the cryptosystem is improved. In this paper, a symmetric chaos-based image cipher with a 3D cat map-based spatial bit-level permutation strategy is proposed. Compared with those recently proposed bit-level permutation methods, the diffusion effect of the new method is superior as the bits are shuffled among different bit-planes rather than within the same bit-plane. Moreover, the diffusion key stream extracted from hyperchaotic system is related to both the secret key and the plain image, which enhances the security against known/chosen plaintext attack. Extensive security analysis has been performed on the proposed scheme, including the most important ones like key space analysis, key sensitivity analysis, plaintext sensitivity analysis and various statistical analyses, which has demonstrated the satisfactory security of the proposed scheme.
Keywords: image cipher; bit-level permutation; 3D cat map; hyperchaotic system image cipher; bit-level permutation; 3D cat map; hyperchaotic system
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Fu, C.; Huang, J.-B.; Wang, N.-N.; Hou, Q.-B.; Lei, W.-M. A Symmetric Chaos-Based Image Cipher with an Improved Bit-Level Permutation Strategy. Entropy 2014, 16, 770-788.

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