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An image encryption algorithm based on hyper-chaos and DNA sequence

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Abstract

A novel image encryption algorithm making using of hyper-chaos and DNA sequence is presented here. A four-dimensional hyper-chaos system is used to generate the pseudo-random sequence, which is transformed into a biologic DNA sequence to diffuse the image blocks. A circular permutation is performed on the plain-image when it is in DNA status. Together with classical structure of permutation plus diffusion, the simulation results show that the proposed image encryption algorithm has a satisfactory performance. Moreover, our method can resist the known-plaintext and chosen-plaintext attacks with four parameters r i (i = 1,2,3,4) dependent on the plain-image. These parameters generate different key streams for different plain-image even if the initial conditions are the same.

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References

  1. Alvarez G, Li S (2009) Cryptanalyzing a nonlinear chaotic algorithm (NCA) for image encryption. Commun Nonlinear Sci Numer Simul 14:3743–3749

    Article  Google Scholar 

  2. Borujeni SE, Eshghi M (2012) Chaotic image encryption system using phase-magnitude transformation and pixel substitution. Telecommun Syst. doi:10.1007/s11235-011-9458-8

    MATH  Google Scholar 

  3. Chang CC, Hwang MS, Chen TS (2001) A new encryption algorithm for image cryptosystems. J Syst Softw 58:83–91

    Article  Google Scholar 

  4. Coppersmith D (1994) The data encryption standard (DES) and its strength against attacks. IBM J Res Develop 38:243–250

    Article  MATH  Google Scholar 

  5. El-Latif AAA, Li L, Zhang TJ, Wang N, Song XH, Niu XM (2012) A new image encryption scheme based on cyclic elliptic curve and chaotic system. Multimed Tools App. doi:10.1007/s11042-012-1173-2

    Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  7. Kanso A, Ghebleh M (2012) A novel image encryption algorithm based on a 3D chaotic map. Commun Nonlinear Sci Numer Simul 17:2943–2959

    Article  MATH  MathSciNet  Google Scholar 

  8. Liu HJ, Wang XY, Kadir A (2012) Image encrytion using DNA complementary rule and chaotic maps. Appl Soft Comput 12:1457–1466

    Article  Google Scholar 

  9. Mao YB, Chen G, Lian SG (2004) A novel fast image encryption scheme based on the 3D chaotic baker map. Int J Bifurc Chaos 14:3613–3624

    Article  MATH  MathSciNet  Google Scholar 

  10. Matthews R (1989) On the derivation of a Chaotic encryption algorithm. Cryptologia 8:29–42

    Article  MathSciNet  Google Scholar 

  11. Patidar V, Pareek NK, Purohit G, Sud KK (2011) A robust and secure chaotic standard map based pseudorandom permutation-substitution scheme for image encryption. Opt Commun 284:4331–4339

    Article  Google Scholar 

  12. 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 

  13. Scharinger J (1998) Fast encryption of image data using chaotic Kolmogorov flows. J Electron Imaging 7:318–325

    Article  Google Scholar 

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

    Article  Google Scholar 

  15. Tang Y, Wang ZD, Fang JA (2010) Image encryption using chaotic coupled map lattices with time-varying delays. Commun. Nonlinear Sci Numer Simul 15:2456–2468

    Article  MATH  MathSciNet  Google Scholar 

  16. Wang Y, Wong KW, Liao XF, Xiang T, Chen GR (2009) A chaos-based image encryption algorithm with variable control parameters. Chaos Solitons Fractals 41:1773–1783

    Article  MATH  Google Scholar 

  17. Wei XP, Guo L, Zhang Q, Zhang JX, Lian SG (2012) A novel color image encryption algorithm based on DNA sequence operation and hyper-chaotic system. J Syst Softw 85:290–299

    Article  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  19. Zhang JX, Tang WS (2012) A novel bounded 4D chaotic syste. Nonlinear Dyn 67:2455–2465

    Article  MATH  Google Scholar 

Download references

Acknowledgements

This work is part of the research project funded by the Science & Technology Program Foundation of Zhanjiang City of P.R. China (No. 2011C3109002), and the Natural Science Foundation of Guangdong Ocean University of P.R. China (No. 1212334).

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Authors and Affiliations

  1. College of Science, Guangdong Ocean University, Zhanjiang, 524088, Guangdong, China

    Xiaoling Huang & Guodong Ye

  2. Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong

    Guodong Ye

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  1. Xiaoling Huang
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  2. Guodong Ye
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Correspondence to Guodong Ye.

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Huang, X., Ye, G. An image encryption algorithm based on hyper-chaos and DNA sequence. Multimed Tools Appl 72, 57–70 (2014). https://doi.org/10.1007/s11042-012-1331-6

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  • DOI: https://doi.org/10.1007/s11042-012-1331-6

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