Skip to main content
Log in

A new image encryption method: parallel sub-image encryption with hyper chaos

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

A new image encryption scheme, based on a total shuffling and parallel encryption algorithm is proposed in this paper. Two chaotic systems have been used in the encryption algorithm to confuse the relationship between the plain-image and the cipher-image. To make the encryption procedure more confusing and complex, the plain-image is first divided into 4 sub-images and then the position of each sub-image is changed pseudo-randomly according to a logistic map. Next, a total shuffling matrix is used to shuffle the position of pixels in the whole image and then sub-images are encrypted simultaneously in a parallel manner. The experimental results on USC data base demonstrate that the proposed encryption algorithm has a low time complexity and has the advantages of large key space and high security. Moreover, the robustness of this locally encryption method is much more in contrast with other encryption schemes and the distribution of gray values has a random-like behavior in the encrypted image.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Beldhouche, F., Qidwai, U.: Binary image encoding using ID chaotic map. In: Proceedings of the IEEE Annual Technical Conference, pp. 39–43 (2003)

    Google Scholar 

  2. Bu, S.L., Wang, B.H.: Improving the security of chaotic encryption by using a simple modulating method. Chaos Solitons Fractals 19, 919–924 (2004)

    Article  MATH  Google Scholar 

  3. Chang, C.C., Hwang, M.S., Chen, T.S.: A new encryption algorithm for image cryptosystems. J. Syst. Softw. 58, 83–91 (2001)

    Article  Google Scholar 

  4. Chee, C.Y., Xu, D., Steven, R., Bishop, B.: A zero-crossing approach to uncover the mask by chaotic encryption with periodic modulation. Chaos Solitons Fractals 21, 1129–1134 (2004)

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  6. Chien, T.-I., Liao, T.-L.: Design of secure digital communication systems using chaotic modulation, cryptography and chaotic synchronization. Chaos Solitons Fractals 24, 241–255 (2005)

    MATH  Google Scholar 

  7. Kocarev, L.: Chaos-based cryptography: a brief overview. IEEE Circuits Syst. Mag. 1(3), 6–21 (2001)

    Article  Google Scholar 

  8. Kocarev, L., Jakimovski, G.: Chaos and cryptography: from chaotic maps to encryption algorithms. IEEE Trans. Circuits Syst. 48(2), 163–169 (2001)

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  10. Gao, H.J., Zhang, Y.S., Liang, S.Y., Li, D.Q.: A new chaotic algorithm for image encryption. Chaos Solitons Fractals 29, 393–399 (2006)

    Article  MATH  Google Scholar 

  11. Li, S., Zheng, X.: Cryptanalysis of a chaotic image encryption method. In: Proceedings of the IEEE International Conference on Circuits and Systems, vol. 2, pp. 708–711 (2002)

    Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  13. Lü, J.H., Chen, G.R.: A new chaotic attractor coined. Int. J. Bifurc. Chaos Appl. Sci. Eng. 12(3), 659–661 (2002)

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  15. Matthews, R.: One the derivation of a chaotic encryption algorithm. Cryptologia 8(1), 29–42 (1989)

    Article  MathSciNet  Google Scholar 

  16. Zhou, Q., Wong, K.-w., Liao, X., Xiang, T., Hu, Y.: Parallel image encryption algorithm based on discretized chaotic map. Chaos Solitons Fractals 00, 1081–1092 (2007)

    Google Scholar 

  17. Schneier, B.: Applied Cryptography: Protocols, Algorithms, and Source Code in C, 2nd edn. Wiley, New York (1995)

    Google Scholar 

  18. Gao, T., Chen, Z.: Image encryption based on a new total shuffling algorithm. Chaos Solitons Fractals 00, 213–220 (2006)

    MathSciNet  Google Scholar 

  19. Wang, X.-Y., Feng, C., Tian, W.: A new compound mode of confusion and diffusion for block encryption of image based on chaos. Commun. Nonlinear Sci. Numer. Simul. 15(9), 2479–2485 (2009)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Omid Mirzaei.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mirzaei, O., Yaghoobi, M. & Irani, H. A new image encryption method: parallel sub-image encryption with hyper chaos. Nonlinear Dyn 67, 557–566 (2012). https://doi.org/10.1007/s11071-011-0006-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-011-0006-6

Keywords

Navigation