Nonlinear Dynamics

, Volume 67, Issue 1, pp 557–566 | Cite as

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

Original Paper


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.


Parallel image encryption Hyper chaos Image shuffling Image division 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 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. 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) MATHCrossRefGoogle Scholar
  3. 3.
    Chang, C.C., Hwang, M.S., Chen, T.S.: A new encryption algorithm for image cryptosystems. J. Syst. Softw. 58, 83–91 (2001) CrossRefGoogle Scholar
  4. 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) MATHCrossRefGoogle Scholar
  5. 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) MathSciNetMATHCrossRefGoogle Scholar
  6. 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) MATHGoogle Scholar
  7. 7.
    Kocarev, L.: Chaos-based cryptography: a brief overview. IEEE Circuits Syst. Mag. 1(3), 6–21 (2001) CrossRefGoogle Scholar
  8. 8.
    Kocarev, L., Jakimovski, G.: Chaos and cryptography: from chaotic maps to encryption algorithms. IEEE Trans. Circuits Syst. 48(2), 163–169 (2001) MATHCrossRefGoogle Scholar
  9. 9.
    Fridrich, J.: Symmetric ciphers based on two-dimensional chaotic maps. Int. J. Bifurc. Chaos Appl. Sci. Eng. 8(6), 1259–1284 (1998) MathSciNetMATHCrossRefGoogle Scholar
  10. 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) MATHCrossRefGoogle Scholar
  11. 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. 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) MathSciNetMATHCrossRefGoogle Scholar
  13. 13.
    Lü, J.H., Chen, G.R.: A new chaotic attractor coined. Int. J. Bifurc. Chaos Appl. Sci. Eng. 12(3), 659–661 (2002) MATHCrossRefGoogle Scholar
  14. 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) MathSciNetMATHCrossRefGoogle Scholar
  15. 15.
    Matthews, R.: One the derivation of a chaotic encryption algorithm. Cryptologia 8(1), 29–42 (1989) MathSciNetCrossRefGoogle Scholar
  16. 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. 17.
    Schneier, B.: Applied Cryptography: Protocols, Algorithms, and Source Code in C, 2nd edn. Wiley, New York (1995) Google Scholar
  18. 18.
    Gao, T., Chen, Z.: Image encryption based on a new total shuffling algorithm. Chaos Solitons Fractals 00, 213–220 (2006) MathSciNetGoogle Scholar
  19. 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) CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Engineering Department, Artificial Intelligence GroupIslamic Azad UniversityMashhad BranchIran

Personalised recommendations