Skip to main content

Advertisement

Log in

Innovative image encryption scheme based on a new rapid hyperchaotic system and random iterative permutation

  • Published:
Multimedia Tools and Applications Aims and scope Submit manuscript

Abstract

Multimedia data such as: images, audio and video have become significantly more important, since the exchange of digital data over the network (wired/wireless) has expanded. Therefore an increasing need to secure the important data many techniques are used to such purpose. Cryptography remains an important and wide used mean to secure data. In this aim we propose a new rapid hyperchaotic system with higher confusion and a unique equilibrium point. Detailed mathematical study based on dynamic tests such as lyapunov exponents, Poincare map, the Lyapunov Dimension computing, Dissipation and the study of an attractor existence. In addition an electronic implementation is realized to simulate the attractor behavior. The developed system is injected in a new proposed encryption algorithm to introduce high randomness and hyperchaotic behavior to its output applied on digital images. Tests and simulation results on many images kinds prove the efficiency and higher velocity of processing time of the proposed algorithm.

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

Access this article

Subscribe and save

Springer+ Basic
€32.70 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (France)

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17

Similar content being viewed by others

References

  1. Edmund XD, Charles K (1987) Routh–Hurwitz criterion in the examination of eigenvalues of a system of nonlinear ordinary differential equations. Phys Rev A 35:5288–90

    Article  MathSciNet  Google Scholar 

  2. Hamdi B, Hassene S (2017) A new rapid hyperchaotic system for more efficient 2D data encryption. Multimed Tools Appl 77(6):7741–7762

    Google Scholar 

  3. Hamza R, Muhammad K, Lv Z, Titouna F (2017) Secure video summarization framework for personalized wireless capsule endoscopy. Pervasive Mob Comput 41 (C):436–450

    Article  Google Scholar 

  4. Hamza R, Titouna F (2016) A novel sensitive image encryption algorithm based on the Zaslavsky chaotic map. Inf Secur J: A Global Perspective 25(4–6):162–179

    Google Scholar 

  5. International Symposium on Neural Networks, Wuhan, China, 26–29, May 2009; Lecture Notes in Computer Science, vol 5551. Springer, Berlin, pp 253–261, vol 2009

  6. Jia LX, Dai H, Hui M (2010) A new four-dimensional hyperchaotic Chen system and its generalized synchronization. Chin Phys B 19:125–135

    Google Scholar 

  7. Junming M, Ruisong Y (2015) An image encryption scheme based on hybrid orbit of hyper-chaotic systems. I. J Comput Netw Inf Secur 5:25–33

    Google Scholar 

  8. Kapitaniak T, Chua LO (1994) Hyperchaotic attractor of unidirectionally-coupled Chua’s circuit. Int J Bifurc Chaos 4:477–482

    Article  MathSciNet  Google Scholar 

  9. Lian SG (2008) Multimidia content encryption: techniques and applications. Auer-bach Publication Taylor and Francis Group

  10. Liu ZXS, Sun J (2009) An improved image encryption algorithm based on chaotic system. J Comput 4:1091–1100

    Google Scholar 

  11. Liu Y, Tong X, Ma J (2015) Image encryption algorithm based on hyper-chaotic system and dynamic S-box. Multimed Tools Appl

  12. Lorenz EN (1963) Deterministic non-periodic ows. J Atmos 20:130141

    Google Scholar 

  13. Mazloom S, Eftekhari-Moghadam AM (2009) Color image encryption based on coupled nonlinear chaotic map. Chaos Solitons Fractals 42(3):1745–1754

    Article  Google Scholar 

  14. Ning CZ, Haken H (1990) Detuned lasers and the complex Lorenz equations: subcritical and supercritical Hopf bifurcations. Phys Rev A 41:3826–3837

    Article  Google Scholar 

  15. Norouzi B, Mirzakuchaki S (2014) A fast color image encryption algorithm based on hyper-chaotic systems. Int J Nonlinear Dyn Chaos Eng Syst 78:925–1015

    Google Scholar 

  16. Pyragas K, Pyragas V, Kiss IZ, Hudson JL (2004) Adaptive control of unknown unstable steady states of dynamical systems. Phys Rev E 70:026212–5

    Article  Google Scholar 

  17. Qi GY, Du S, Chen G, Chen Z, Yuan Z (2005) On a four-dimensional chaotic system. Chaos Solitons Fractals 23:1671–1682

    Article  MathSciNet  Google Scholar 

  18. Rossler OE (1979) An equation for hyperchaos. Phys Lett A 71:155

    Article  MathSciNet  Google Scholar 

  19. Rukhin A et al (2010) A statistical test suite for the validation of random number generators and pseudo-random number generators for cryptographic applications.? NIST Special Revised Publication 800-22

  20. Seyedzadeh SM, Mirzakuchaki S (2012) A fast color image encryption algorithm based on coupled two-dimensional piecewise chaotic map. Signal Process 92:1202–1215

    Article  Google Scholar 

  21. Shannon CE (1949) Communication theory of security systems. Bell Syst Tech J 28:656715

    Google Scholar 

  22. Si GQ, Cao H, Zhang YB (2011) A new four-dimensional hyperchaotic Lorenz system and its adaptive control. Chin Phys B 20:229–237

    Google Scholar 

  23. Tang WKS, Chen GR (2005) Generation hyperchaos via state feedback control. Int J Bifur Chaos 15:3367–3375

    Article  Google Scholar 

  24. Wang Y, Wong K, Liao X, Xiang T, Chen G (2009) A chaos-based image encryption algorithm with variable control parameters. Chaos Solitons Fractals 41:1773–1783

    Article  Google Scholar 

  25. Wang X, Teng L, Qin X (2012) A novel colour image encryption algorithm based on chaos. Signal Process 92:1101–1108

    Article  Google Scholar 

  26. Wang W, Tan H, Sun P, Pang Y, Ren B (2015) A novel digital image encryption algorithm based on wavelet transform and multi-chaos. In: Wireless communication and sensor network, pp 711–719

  27. Wang W, Si M, Pang Y, Ran P, Wang H, Jiang X, Liu Y, Wu J, Wu W, Chilamkurti N, Jeon G (2017) An encryption algorithm based on combined chaos in body area networks. Comput Electr Eng 65:1–10

    Google Scholar 

  28. Wong K, Kwok B, Law W (2008) A fast image encryption sheme based on chaotic tandart map. Phys Lett A 372:2645–2652

    Article  Google Scholar 

  29. Zhu C (2012) A novel image encryption scheme based on improved hyperchaotic sequences. Optics Commun 285:29–37

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hamdi Bouslehi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Bouslehi, H., Seddik, H. Innovative image encryption scheme based on a new rapid hyperchaotic system and random iterative permutation. Multimed Tools Appl 77, 30841–30863 (2018). https://doi.org/10.1007/s11042-018-5997-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11042-018-5997-2

Keywords

Navigation