Skip to main content

An Image Encryption Algorithm Based on Small Permutation Array Combining

  • Conference paper
Intelligent Science and Intelligent Data Engineering (IScIDE 2011)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7202))

  • 3527 Accesses

Abstract

In traditional chaotic map based image encryption algorithm, the encryption performance is determined by the permutation generating speed, and due to short periodical problem led by the finite precision effect, the permutation generating is always in a low efficient. In this paper, a method to generate a large permutation by combining several small permutation arrays is proposed by introducing a join operation to improve the permutation generating speed, where small permutation arrays are generated by one-dimensional chaotic map. Based on this permutation generating, an image encryption algorithm is proposed where XOR and MOD based diffusion procedures are added. The complete image encryption algorithm is a multiple rounds of substitution-permutation network where permutation and diffusion as the basic building blocks. Experiments show that the proposed algorithm is a key-sensitive, can resist different attacks such as differential attack and plaintext attack, and the ciphered image is similar to a noise image.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

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

    Article  MathSciNet  Google Scholar 

  2. Scharinger, J.: Secure and fast encryption using chaotic kolmogorov flows. In: Information Theory Workshop, Killarney, Ireland, pp. 124–125 (1999)

    Google Scholar 

  3. Fridrich, J.: Symmetric ciphers based on two-dimensional chaotic maps. International Journal of Bifurcation and Chaos 8, 1259–1284 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  4. Wheeler, D.D.: Problems with chaotic cryptosystems. Cryptologia 3, 243–250 (1989)

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  7. Zhang, Y.H., Kang, B.S., Zhang, X.F.: Image encryption algorithm based on chaotic sequence. In: Artificial Reality and Telexistence–Workshops, pp. 221–223 (2009)

    Google Scholar 

  8. Yi, K.X., Sun, X., Shi, J.Y.: A Encryption Algorithm Based on Chaotic Sequence. Journal of Computer-Aided Design & Computer Graphics 9, 672–676 (2000) (in Chinese)

    Google Scholar 

  9. Gao, T., Chen, Z.: Image encryption based on a new total shuffling algorithm. Chaos, Solitons & Fractals 1, 213–220 (2008)

    Article  MathSciNet  Google Scholar 

  10. Wang, X., Zhan, M., Gong, X., et al.: Spread-spectrum communication using binary spatiotemporal chaotic codes. Physics Letters A 1, 30–36 (2005)

    Article  MATH  Google Scholar 

  11. Yoon, J.W., Kim, H.: An image encryption scheme with a pseudorandom permutation based on chaotic maps. Communications in Nonlinear Science and Numerical Simulation 12, 3998–4006 (2010)

    Article  MathSciNet  Google Scholar 

  12. Ding, C., Fu, F.W., Klove, T., et al.: Constructions of permutation arrays. IEEE Transactions on Information Theory 4, 977–980 (2002)

    Article  MathSciNet  Google Scholar 

  13. Fu, F.W., Klove, T.: Two constructions of permutation arrays. IEEE Transactions on Information Theory 5, 881–883 (2004)

    Article  MathSciNet  Google Scholar 

  14. Chen, G., Chen, Y., Liao, X.: An extended method for obtaining S-boxes based on three-dimensional chaotic Baker maps. Chaos, Solitons & Fractals 3, 571–579 (2007)

    Article  MathSciNet  Google Scholar 

  15. Kwok, H., Tang, W.K.S.: A fast image encryption system based on chaotic maps with finite precision representation. Chaos, Solitons & Fractals 4, 1518–1529 (2007)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, X., Liang, Z., Shao, L., Zhang, Y., Chen, Q. (2012). An Image Encryption Algorithm Based on Small Permutation Array Combining. In: Zhang, Y., Zhou, ZH., Zhang, C., Li, Y. (eds) Intelligent Science and Intelligent Data Engineering. IScIDE 2011. Lecture Notes in Computer Science, vol 7202. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31919-8_83

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31919-8_83

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31918-1

  • Online ISBN: 978-3-642-31919-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics