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Multimedia Tools and Applications

, Volume 73, Issue 3, pp 1885–1896 | Cite as

Cryptanalyzing a novel image cipher based on mixed transformed logistic maps

  • Yushu Zhang
  • Di XiaoEmail author
  • Wenying Wen
  • Ming Li
Article

Abstract

Recently, a novel image cipher [Multimed Tools Appl (2012) 56:315–330] was proposed based on mixed transformed logistic maps. The cipher includes three parts: initial permutation of all the pixels with six odd keys, nonlinear diffusion using the first chaotic keystream and xoring the second chaotic keystream with the resultant values, and Zig-Zag diffusion with the third chaotic keystream. It was claimed that the nonlinear diffusion using the first chaotic map, xoring with the second chaotic map and the Zig-Zag diffusion with the third chaotic map are done to improve the security against the known/chosen plaintext attack. However, the cipher is insecure against chosen plaintext attack. In this paper, we analyze the security weakness of the cipher. As for different images, three chaotic keys keep unchanged so that three chaotic keystreams are also fixed. Our target is to reveal six odd integer keys and three chaotic keystreams equivalent to three chaotic keys. By applying chosen plaintext attack, we can reveal them through two different methods. Experimental results also verify our assertion.

Keywords

Cryptanalysis Image encryption Chosen plaintext attack Chaos 

Notes

Acknowledgments

The work was funded by the Natural Science Foundation Project of CQ CSTC (Grant No. 2011jjjq40001).

References

  1. 1.
    Arroyo D, Diaz J, Rodriguez FB (2013) Cryptanalysis of a one round chaos-based Substitution Permutation Network. Signal Process 93:1358–1364CrossRefGoogle Scholar
  2. 2.
    El-Latif AA, Li L, Niu XM (2012) A new image encryption scheme based on cyclic elliptic curve and chaotic system. Multimed Tools Appl. doi: 10.1007/s11042-012-1173-2 Google Scholar
  3. 3.
    Huang XL, Ye GD (2012) An image encryption algorithm based on hyper-chaos and DNA sequence. Multimed Tools Appl. doi: 10.1007/s11042-012-1331-6 Google Scholar
  4. 4.
    Li SJ, Li CQ, Chen GR, Bourbakis NG, Lo KT (2008) A general quantitative cryptanalysis of permutation-only multimedia ciphers against plaintext attacks. Signal Process-Image Commun 23:212–223CrossRefGoogle Scholar
  5. 5.
    Li CQ, Lo KT (2011) Optimal quantitative cryptanalysis of permutation-only multimedia ciphers against plaintext attacks. Signal Process 91:949–954CrossRefzbMATHGoogle Scholar
  6. 6.
    Li SS, Zhao YH, Qu BY, Wang JA (2012) Image scrambling based on chaotic sequences and Vigenère cipher. Multimed Tools Appl. doi: 10.1007/s11042-012-1281-z Google Scholar
  7. 7.
    Norouzi B, Mirzakuchaki S, Seyedzadeh SM, Mosavi MR (2012) A simple, sensitive and secure image encryption algorithm based on hyper-chaotic system with only one round diffusion. Multimed Tools Appl. doi: 10.1007/s11042-012-1292-9 Google Scholar
  8. 8.
    Sam IS, Devaraj P, Bhuvaneswaran RS (2012) A novel image cipher based on mixed transformed logistic maps. Multimed Tools Appl 56:315–330CrossRefGoogle Scholar
  9. 9.
    Wong KW, Kwok B, Law W (2008) A fast image encryption scheme based on chaotic standard map. Phys Lett A 372:2645–2652CrossRefzbMATHGoogle Scholar
  10. 10.
    Xiao D, Liao X, Wei P (2009) Analysis and improvement of a chaos-based image encryption algorithm. Chaos Soliton Fractal 40:2191–2199CrossRefzbMATHMathSciNetGoogle Scholar
  11. 11.
    Xiao D, Shih FY (2010) Using the self-synchronizing method to improve security of the multi chaotic systems-based image encryption. Opt Commun 283:3030–3036CrossRefGoogle Scholar
  12. 12.
    Zhang YS, Xiao D (2013) Double optical image encryption using discrete Chirikov standard map and chaos-based fractional random transform. Opt Lasers Eng 51:472–480CrossRefGoogle Scholar
  13. 13.
    Zhang YS, Xiao D (2013) Cryptanalysis of S-box-only chaotic image ciphers against chosen plaintext attack. Nonlinear Dyn 72:751–756CrossRefMathSciNetGoogle Scholar
  14. 14.
    Zhang YS, Xiao D, Shu YL, Li J (2013) A novel image encryption scheme based on a linear hyperbolic chaotic system of partial differential equations. Signal Process-Image Commun 28:292–300CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.College of Computer ScienceChongqing UniversityChongqingChina
  2. 2.School of Information TechnologyJiangxi University of Finance and EconomicsNanchangChina

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