Skip to main content
SpringerLink
Log in

Image encryption algorithm based on PGL(2,GF(28)) S-boxes and TD-ERCS chaotic sequence

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

Abstract

In this article, we propose a novel image encryption algorithm by using the linear fractional transformation (LFT) substitution boxes and tangent-delay for elliptic reflecting cavity (TD-ERCS) chaotic sequence. In addition, we apply the proposed approach to an image and come to know that the correlation analysis, UACI analysis, and NPCR analysis of proposed algorithm are much improved than many existing techniques and very easy to put into practice.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Hussain, I., Shah, T., Mahmood, H., Gondal, M.A.: A projective general linear group based algorithm for the construction of substitution box for block ciphers. Neural Comput. Appl. (2012). doi:10.1007/s00521-012-0870-0

    Google Scholar 

  2. Hussain, I., Shah, T., Gondal, M.A., Khan, W.A., Mahmood, H.: A group theoretic approach for the construction of Substitution box. Neural Comput. Appl. (2012). doi:10.1007/s00521-012-0914-5

    Google Scholar 

  3. Hussain, I. Shah, T., Mahmood, H., Afzal, M.: Comparative analysis of S-boxes based on graphical SAC. Int. J. Comput. Appl. 2(5), 5–8 (2010)

    Google Scholar 

  4. Tran, M.T., Bui, D.K., Doung, A.D.: Gray S-box for advanced encryption standard. Int. Conf. Comput. Intell. Secur. 253–256 (2008)

  5. Matsui, M.: Linear cryptanalysis method of DES cipher. In: Advances in cryptology, proceeding of the Eurocrypt’93, Berlin, Germany. Lect. Notes Comput. Sci., vol. 765, pp. 386–397 (1994)

    Google Scholar 

  6. Biham, E., Shamir, A.: Differential cryptanalysis of DES-like cryptosystems. J. Cryptol. 4(1), 3–72 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  7. Shah, T., Hussain, I., Gondal, M.A., Mahmood, H.: Statistical analysis of S-box in image encryption applications based on majority logic criterion. Int. J. Phys. Sci. 6(16), 4110–4127 (2011)

    Google Scholar 

  8. Hussain, I., Shah, T., Gondal, M.A., Mahmood, H.: Generalized majority logic criterion to analyze the statistical strength of S-boxes. Z. Naturforsch. A (ZNA) (2012). doi:10.5560/ZNA.2012-0022

    Google Scholar 

  9. Hussain, I., Shah, T., Gondal, M.A., Mahmood, H.: Analysis of S-box in image encryption using root mean square error method. Z. Naturforsch. A (ZNA) (2012). doi:10.5560/ZNA.2012-0023

    Google Scholar 

  10. Sheu, L.J.: A speech encryption using fractional chaotic systems. Nonlinear Dyn. 65(1–2), 103–108 (2011). doi:10.1007/s11071-010-9877-1

    Article  MathSciNet  MATH  Google Scholar 

  11. Wang, X.Y., Yang, L., Liu, R., Kadir, A.: A chaotic image encryption algorithm based on perceptron model. Nonlinear Dyn. 62(3), 615–621 (2010). doi:10.1007/s11071-010-9749-8

    Article  MATH  Google Scholar 

  12. Ghosh, D.: Nonlinear active observer-based generalized synchronization in time-delayed systems. Nonlinear Dyn. 59(1–2), 289–296 (2010). doi:10.1007/s11071-009-9538-4

    Article  MATH  Google Scholar 

  13. Clifford, M.J., Cox, S.M.: Smart baffle placement for chaotic mixing. Nonlinear Dyn. 43(1–2), 117–126 (2006). doi:10.1007/s11071-006-0755-9

    Article  MathSciNet  MATH  Google Scholar 

  14. Xiaoling, H.: Image encryption algorithm using chaotic Chebyshev generator. Nonlinear Dyn. 67(4), 2411–2417 (2012). doi:10.1007/s11071-011-0155-7

    Article  Google Scholar 

  15. Jianxiong, Z., Wansheng, T.: A novel bounded 4D chaotic system. Nonlinear Dyn. 67(4), 2455–2465 (2012) doi:10.1007/s11071-011-0159-3

    Article  MATH  Google Scholar 

  16. Sheng, L., Sun, K., Li, C.: Study of a discrete chaotic system based on tangent-delay for elliptic reflecting cavity and its properties. Acta Phys. Sin. 53(9), 2871–2876 (2004)

    Google Scholar 

  17. Sheng, L., Cao, L., Sun, K.: Pseudo-random number generator based on TD-ERCS chaos and its statistic characteristics analysis. Acta Phys. Sin. 54(9), 4031–4037 (2005)

    Google Scholar 

  18. Rhouma, R., Soumaya, M., Safya, B.: OCML-based colour image encryption. Chaos Solitons Fractals 40(1), 309–318 (2009)

    Article  MATH  Google Scholar 

  19. Sahar, M., Amir, M.E.: Color image encryption based on coupled nonlinear chaotic map. Chaos Solitons Fractals 42(3), 1745–1754 (2009)

    Article  MATH  Google Scholar 

  20. Liu, H.J., Wang, X.Y.: 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 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan

    Iqtadar Hussain & Tariq Shah

  2. Department of Sciences and Humanities, National University of Computer & Emerging Sciences, Islamabad, Pakistan

    Muhammad Asif Gondal

Authors
  1. Iqtadar Hussain
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tariq Shah
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Muhammad Asif Gondal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Iqtadar Hussain.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hussain, I., Shah, T. & Gondal, M.A. Image encryption algorithm based on PGL(2,GF(28)) S-boxes and TD-ERCS chaotic sequence. Nonlinear Dyn 70, 181–187 (2012). https://doi.org/10.1007/s11071-012-0440-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-012-0440-0

Keywords

Search

Navigation