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A novel image encryption scheme based on Hénon map and compound spatiotemporal chaos

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Abstract

In this paper, a novel image encryption algorithm based on Hénon map and compound spatiotemporal chaos is proposed. Pixel positions permutation and pixel values shuffling are both implemented via the cryptosystem proposed. In the permutation process, Hénon map is employed. In the shuffling stage, the merits of spatiotemporal chaos and compound chaos are combined. To enhance the security, an interception key and a modulation key based on the plain image are designed, which make the scheme robust against the known- and chosen-plaintext attacks and enlarge the key space as well. Experimental results and relevant security analysis show that the proposed cipher algorithm can provide adequate security for the confidentiality of images. In addition, compared with other competitive existing chaos-based image encryption schemes, the new algorithm has superiority in aspects such as key space, key sensitivity, plaintext sensitivity, and execution efficiency.

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References

  1. Ahmed A, Abd E-L, Li L, Xiamu N (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 

  2. Chen SL, Hwang TT, Lin WW (2010) Randomness enhancement using digitalized modified Logistic map. IEEE Trans Circuits and Systems-II: Express Briefs 57(12):996–1000

    Article  MathSciNet  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  4. Chen JY, Zhou JW, Wong KW (2011) A modified chaos-based joint compression and encryption scheme. IEEE Trans On Cirtuits and Systems II-Express Briefs 58(2):110–114

    Article  Google Scholar 

  5. Gao T, Chen Z (2008) A new image encryption algorithm based on hyper-chaos. Phys Lett A 372:394–400

    Article  Google Scholar 

  6. Hénon M (1976) A two-dimensional mapping with a strange attractor. Commun Math Phys 50(1):69–77

    Article  Google Scholar 

  7. Huang XL (2011) Image encryption algorithm using chaotic Chebyshev generator. Nonlinear Dyn 67(4):2411–2417

    Article  MATH  Google Scholar 

  8. Huang CK, Nien HH (2009) Multi chaotic systems based pixel shuffle for image encryption. Opt Commun 282(11):2123–2127

    Article  Google Scholar 

  9. 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 

  10. Jastrzebski K, Kotulski Z (2009) On Improved Image Encryption Scheme Based on Chaotic Map Lattices. Engng Trans 57(2):69–84

    Google Scholar 

  11. Lian SG, Sun JS, Wang ZQ (2005) A block cipher based on a suitable use of the chaotic standard map. Chaos Solitons Fractals 26(1):117–129

  12. Liao XF, Li XM, Pen J, Chen GR (2004) A digital secure image communication scheme based on the chaotic chebyshev map. Int J Commun Syst 17(5):437–445

    Article  Google Scholar 

  13. Liu H, Wang X (2010) Color image encryption based on one-time keys and robust chaotic maps. Comput Math Appl 59(10):3320–3327

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  15. Pareek NK, Patidar V, Sud KK (2006) Image encryption using chaotic logistic map. Image Vis Comput 24:926–934

    Article  Google Scholar 

  16. Pisarchik AN, Flores-Carmona NJ, Carpio-Valadez M (2006) Encryption and decryption of images with chaotic map lattices. Chaos 16:033118

    Article  MathSciNet  Google Scholar 

  17. Rhouma R, Meherzi S, Belghith S (2009) OCML-based colour image encryption. Chaos, Solitons Fractals 40(1):309–318

    Article  Google Scholar 

  18. Sathyanarayana SV, Aswatha Kumar M, Hari Bhat KN (2011) Symmetric key image encryption scheme with key sequences derived from random sequence of cyclic elliptic curve points. Int J Netw Secur 12:137–15031

    Google Scholar 

  19. Shang ZW, Ren HG, Zhang J (2008) A block location scrambling algorithm of digital image based on Arnold transformation. Proc. of the 9th International Conference for Young Computer Scientists, pp 2942–2947

  20. Short KM (1997) Signal extraction from chaotic communication. Int J Bifurcat Chaos 7(7):1579–97

    Article  Google Scholar 

  21. Sun FY, Liu ST, Li ZQ, Lu ZW (2008) A novel image encryption scheme based on spatial chaos map. Chaos, Solitons Fractals 38(3):631–640

    Article  MathSciNet  MATH  Google Scholar 

  22. Sun FY, Lu ZW, Liu ST (2010) A new cryptosystem based on spatial chaotic system. Opt Commun 283(10):2066–2073

    Article  Google Scholar 

  23. Tang ZJ, Zhang XQ (2011) Secure image encryption without size limitation using Arnold transform and random strategies. J Multimed 6(2):202–206

    Article  Google Scholar 

  24. Tang ZJ, Zhang XQ, Lan WW (2014) Efficient image encryption with block shuffling and chaotic map. Multimed Tools Appl. doi:10.1007/s11042-014–1861-1

    Google Scholar 

  25. Tong X, Cui M (2008) Image encryption with compound chaotic sequence cipher shifting dynamically. Image Vis Comput 26(6):843–850

    Article  Google Scholar 

  26. Wang Y, Wong KW, Liao XF, Chen GR (2011) A new chaos-based fast image encryption algorithm. Appl Soft Comput 11(1):514–522

    Article  Google Scholar 

  27. Wang PR, Xu Z, Fu C, Zhu WY, Wang XY (2006) Composed chaos-based image encryption algorithm. J Commun 27(11A):285–289

    Google Scholar 

  28. Wang XY, Yang L, Liu R, Kadir A (2010) A chaotic image encryption algorithm based on perceptron model. Nonlinear Dyn 62(3):615–621

    Article  Google Scholar 

  29. Wong KW, Kwok BS-H, Law WS (2008) A fast image encryption scheme based on chaotic standard map. Phys Lett A 372:2645–2652

    Article  Google Scholar 

  30. Xiang T, Liao XF, Tang GP, Chen Y, Wong KW (2006) A novel block cryptosystem based on iterating a chaotic map. Phys Lett A 349:109–115

    Article  Google Scholar 

  31. Xiang T, Wong KW, Liao XF (2007) Selective image encryption using a spatiotemporal chaotic system. Chaos 17(2):0231151–02311512

    Article  MathSciNet  Google Scholar 

  32. Yang T, Yang LB, Yang CM (1998) Cryptanalyzing chaotic secure communications using return maps. Phys Lett A 245:495–510

    Article  Google Scholar 

  33. Ye GD, Wong KW (2012) An efficient chaotic image encryption algorithm based on a generalized Arnold map. Nonlinear Dyn 69(4):2079–2087

    Article  MathSciNet  Google Scholar 

  34. Zhou Q, Wong K-W, Liao X, Xiang T, Hu Y (2008) Parallel image encryption algorithm based on discretized chaotic map. Chaos, Solitons Fractals 38:1081–1092

    Article  Google Scholar 

  35. Zhu CX (2012) A novel image encryption scheme based on improved hyperchaotic sequences. Opt Commun 285(1):29–37

    Article  Google Scholar 

  36. Zhu CX, Chen ZG, Ouyang WW (2006) A new image encryption algorithm based on general Chen’s chaotic system. J of Central South University (Science and Technology) 37(6):1142–1148

    Google Scholar 

  37. Zhu LH, Li WZ, Liao LJ, Li H (2006) A novel algorithm for scrambling digital image based on cat chaotic mapping. Proc. of IIH-MSP ’06 pp 601–604

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 61101014, 51077057), and the Fundamental Research Funds for the Central Universities, SCUT (No. 2013ZZ057).

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Authors and Affiliations

  1. School of Electronic and Information Engineering, South China University of Technology, Guangzhou, 510640, China

    Yifeng Zheng & Jianxiu Jin

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  1. Yifeng Zheng
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  2. Jianxiu Jin
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Correspondence to Jianxiu Jin.

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Zheng, Y., Jin, J. A novel image encryption scheme based on Hénon map and compound spatiotemporal chaos. Multimed Tools Appl 74, 7803–7820 (2015). https://doi.org/10.1007/s11042-014-2024-0

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  • DOI: https://doi.org/10.1007/s11042-014-2024-0

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