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An efficient chaotic image cipher with dynamic lookup table driven bit-level permutation strategy

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Abstract

Recently, bit-level permutation strategy in chaotic image cryptosystem has been studied extensively due to its pixel value mixing effect. However, the efficiency of such a cryptosystem suffers from its high computational complexity, since more chaotic state variables are required to shuffle the bits rather than pixels. Besides, there exists computational redundancy when ciphering some special images using conventional approaches. To promote the efficiency, a novel bit-level chaotic image cipher based on lookup table is proposed in this paper. Accordingly, a sequential addition operation is introduced before the bit-level permutation for the purpose of reducing the permutation redundancy. Moreover, the diffusion in a cross-reverse manner is also contributed to the speed acceleration. On the other hand, a plaintext-related permutation mechanism is implemented in the lookup table construction to enhance the security of the proposed cryptosystem. Simulation results and analyses show that the proposed scheme is efficient while maintaining high security performance.

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References

  1. Li, S., Chen, G., Zheng, X.: Chaos-based encryption for digital images and videos. In: Furht, B., Kirovski, D. (eds.) Multimedia Security Handbook. CRC Press, Florida (2004)

    Google Scholar 

  2. Chen, G.R., Mao, Y.B., Chui, C.K.: A symmetric image encryption scheme based on 3D chaotic cat maps. Chaos Solitons Fractals 21(3), 749–761 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  3. Alvarez, G., Li, S.: Some basic cryptographic requirements for chaos-based cryptosystems. Int. J. Bifurc. Chaos 16(08), 2129–2151 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  4. Fridrich, J.: Symmetric ciphers based on two-dimensional chaotic maps. Int. J. Bifurc. Chaos 8(6), 1259–1284 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Wong, K.W., Kwok, B.S.H., Yuen, C.H.: An efficient diffusion approach for chaos-based image encryption. Chaos Solitons Fractals 41(5), 2652–2663 (2009)

    Article  MATH  Google Scholar 

  6. Zhang, W., Wong, K.W., Yu, H., Zhu, Z.L.: An image encryption scheme using lightweight bit-level confusion and cascade cross circular diffusion. Opt. Commun. 285(9), 2343–2354 (2012)

    Article  Google Scholar 

  7. Zhang, X., Zhao, Z.: Chaos-based image encryption with total shuffling and bidirectional diffusion. Nonlinear Dyn. 75(1–2), 319–330 (2014)

    Article  Google Scholar 

  8. Mao, Y.B., Chen, G.R., Lian, S.G.: A novel fast image encryption scheme based on 3D chaotic baker maps. Int. J. Bifurcat. Chaos 14(10), 3613–3624 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  9. Wong, K.W., Kwok, B.S.H., Law, W.S.: A fast image encryption scheme based on chaotic standard map. Phys. Lett. A 372(15), 2645–2652 (2008)

    Article  MATH  Google Scholar 

  10. Ye, G., Wong, K.W.: An efficient chaotic image encryption algorithm based on a generalized Arnold map. Nonlinear Dyn. 69(4), 2079–2087 (2012)

    Article  MathSciNet  Google Scholar 

  11. Chen, J.X., Zhu, Z.L., Fu, C., Yu, H., Zhang, L.B.: An efficient image encryption scheme using gray code based permutation approach. Opt. Laser Eng. 67, 191–204 (2015)

    Article  Google Scholar 

  12. Chen, J.X., Zhu, Z.L., Fu, C., Yu, H.: A fast image encryption scheme with a novel pixel swapping-based confusion approach. Nonlinear Dyn. 77(4), 1191–1207 (2014)

    Article  Google Scholar 

  13. Yuen, C.H., Wong, K.W.: A chaos-based joint image compression and encryption scheme using DCT and SHA-1. Appl. Soft Comput. 11(8), 5092–5098 (2011)

    Article  Google Scholar 

  14. Xiang, T., Qu, J., Xiao, D.: Joint SPIHT compression and selective encryption. Appl. Soft Comput. 21, 159–170 (2014)

    Article  Google Scholar 

  15. Zhou, N., Zhang, A., Zheng, F., Gong, L.: Novel image compression-encryption hybrid algorithm based on key controlled measurement matrix in compressive sensing. Opt. Laser Technol. 62, 152–160 (2014)

    Article  Google Scholar 

  16. Zhang, Y., Xiao, D., Liu, H., Nan, H.: GLS coding based security solution to JPEG with the structure of aggregated compression and encryption. Commun. Nonlinear Sci. Numer. Simul. 19(5), 1366–1374 (2014)

  17. Tong, X.J., Wang, Z., Zhang, M., Liu, Y.: A new algorithm of the combination of image compression and encryption technology based on cross chaotic map. Nonlinear Dyn. 72(1–2), 229–241 (2013)

    Article  MathSciNet  Google Scholar 

  18. Chen, J.X., Zhu, Z.L., Fu, C., Yu, H.: An improved permutation-diffusion type image cipher with a chaotic orbit perturbing mechanism. Opt. Express 21(23), 27873–27890 (2013)

    Article  Google Scholar 

  19. Wang, Y., Wong, K.W., Liao, X.F., Xiang, T., Chen, G.R.: A chaos-based image encryption algorithm with variable control parameters. Chaos Solitons Fractals 41(4), 1773–1783 (2009)

    Article  MATH  Google Scholar 

  20. Ye, G., Wong, K.W.: An image encryption scheme based on time-delay and hyper chaotic system. Nonlinear Dyn. 71(1–2), 259–267 (2013)

    Article  MathSciNet  Google Scholar 

  21. Wang, X.Y., Bao, X.M.: A novel block cryptosystem based on the coupled chaotic map lattice. Nonlinear Dyn. 72(4), 707–715 (2013)

    Article  MathSciNet  Google Scholar 

  22. Huang, X., Ye, G.: An efficient self-adaptive model for chaotic image encryption algorithm. Commun. Nonlinear Sci. Numer. Simul. 19(12), 4094–4104 (2014)

    Article  Google Scholar 

  23. Zhang, L., Hu, X., Liu, Y., Wong, K.W., Gan, J.: A chaotic image encryption scheme owning temp-value feedback. Commun. Nonlinear Sci. Numer. Simul. 19(10), 3653–3659 (2014)

    Article  MathSciNet  Google Scholar 

  24. Yen, J.C., Guo, J.I.: Design of a new signal security system. In: IEEE International Symposium on Circuits and Systems. ISCAS. vol. 4, pp. IV–121 (2002)

  25. Zhang, W., Yu, H., Zhao, Y.L., Zhu, Z.L.: Image encryption based on three-dimensional bit matrix permutation. Signal Process. 118, 36–50 (2016)

    Article  Google Scholar 

  26. Zhang, Y., Xiao, D.: An image encryption scheme based on rotation matrix bit-level permutation and block diffusion. Commun. Nonlinear Sci. Numer. Simul. 19(1), 74–82 (2014)

    Article  MATH  Google Scholar 

  27. Zhu, Z.L., Zhang, W., Wong, K.W., Yu, H.: A chaos-based symmetric image encryption scheme using a bit-level permutation. Inf. Sci. 181(6), 1171–1186 (2011)

    Article  Google Scholar 

  28. Zhang, W., Wong, K.W., Yu, H., Zhu, Z.L.: A symmetric color image encryption algorithm using the intrinsic features of bit distributions. Commun. Nonlinear Sci. Numer. Simul. 18(3), 584–600 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  29. Fu, C., Wang, T., Meng, Z.Y., Chen, J.X., Ma, H.F.: A fast chaos-based symmetric image cipher with a novel bit-level permutation strategy. In: Cyberspace Safety and Security, pp. 52–66. Springer (2013)

  30. Wikipedia, http://en.wikipedia.org/wiki/Latin_square

  31. Wu, Y., Zhou, Y., Noonan, J.P., Agaian, S.: Design of image cipher using latin squares. Inf. Sci. 264(20), 317–339 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  32. Chen, J.X., Zhu, Z.L., Fu, C., Zhang, L.B., Zhang, Y.: An efficient image encryption scheme using lookup table-based confusion and diffusion. Nonlinear Dyn. 81(3), 1151–1166 (2015)

    Article  Google Scholar 

  33. IEEE Computer Society: IEEE standard for binary floating point arithmetic, ANSI/IEEE std. 754–1985 (1985)

  34. Shannon, C.E.: Communication theory of secrecy systems. Bell Syst. Tech. J. 28(4), 656–715 (1949)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

The work was funded by the National Natural Science Foundation of China (Grant Nos. 61502399, 61572089, 61633005, 61672118), the Chongqing Higher Education Reform Projects (Grant No. 153012), the Chongqing Graduate Student Research Innovation Project (Grant No. CYB14002), the Natural Science Foundation of Chongqing Science and Technology Commission (Grant Nos. cstc2012jjA 40017, cstc2013jcyjA40017, cstc2013jjB40009, cstc2015jcyjA40039)and the Fundamental Research Funds for the Central Universities (Grant No., 106112014CDJZR185501).

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Authors and Affiliations

  1. Key Laboratory of Dependable Service Computing in Cyber Physical Society (Chongqing University) of Ministry of Education, College of Computer Science, Chongqing University, Chongqing, 400044, China

    Guiqiang Hu, Di Xiao & Tao Xiang

  2. School of Electronics and Information Engineering, Southwest University, Chongqing, 400715, China

    Yushu Zhang

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  1. Guiqiang Hu
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  2. Di Xiao
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  3. Yushu Zhang
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  4. Tao Xiang
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Correspondence to Di Xiao.

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Hu, G., Xiao, D., Zhang, Y. et al. An efficient chaotic image cipher with dynamic lookup table driven bit-level permutation strategy. Nonlinear Dyn 87, 1359–1375 (2017). https://doi.org/10.1007/s11071-016-3119-0

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  • DOI: https://doi.org/10.1007/s11071-016-3119-0

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