Abstract
Under Kerckhoff principle, this paper discusses the security property of an image encryption scheme with a pseudorandom permutation. Some findings on the security problems of the algorithm are reported in the following: (1) If each row or column of the plain-image matrix is the same, the receiver cannot decrypt correctly. (2) Each plain-text word is correlated with single cipher-text word, but independent of other cipher-text word, which cannot meet the principles of algorithm design-diffusion and confusion. (3) If the cycle numbers β are relatively small, statistics attack can be used to reveal some visual information of any other plain-images encrypted with the same secret key. Considering the above problems, we propose an improved algorithm and then analyze its performance. Theoretical analysis and simulation results show that the improved algorithm can obtain better cryptographic properties, such as statistical characteristics, difference characteristics, and so on.
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Supported by the National Natural Science Foundation of China (No. 60874091), the Six Projects Sponsoring Talent Summits of Jiangsu Province (No. SJ209006), the Foundation for Doctoral Program of High Education of China (No. 20103223110003), the Natural Science Foundation of Jiangsu Province (No. 08KJD510022), and the Postgraduate Scientific Innovation Project for Universities of Jiangsu Province (No. CXZZ11-0401).
Communication author: Wang Jing, born in 1982, female, Ph.D..
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Wang, J., Jiang, G. & Lin, B. Cryptanalysis of an image encryption scheme with a pseudorandom permutation and its improved version. J. Electron.(China) 29, 82–93 (2012). https://doi.org/10.1007/s11767-012-0800-4
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DOI: https://doi.org/10.1007/s11767-012-0800-4