Skip to main content
SpringerLink
Log in

An efficient chaotic image encryption scheme

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

In this communication, we have presented a technique to synthesize resilient nonlinear mechanisms for the construction of substitution box for image encryption that utilizes a multiplicative group of nonzero elements of Galois field of order 256. The proposed nonlinear component assists in transforming the intelligible message or plaintext into an enciphered format by the use of exponential and Tinkerbell chaotic maps. The proposed substitution box is sensitive to the initial conditions provided to the chaotic system, which are subsequently used as parameters in creating an instance. The simulation results show that the use of the proposed substitution box to image encryption scheme provides an efficient and secure way for real-time communications.

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
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Alvarez G, Li S (2006) Some basic cryptographic requirements for chaos-based cryptosystems. Int J Bifurc Chaos Appl Sci Eng 16(8):2129–2153

    Article  MATH  MathSciNet  Google Scholar 

  2. Jakimoski G, Kocarev L (2001) Chaos and cryptography: block encryption ciphers. IEEE Trans Circuits Syst I Fundam Theory Appl 48(2):163–169

    Article  MATH  MathSciNet  Google Scholar 

  3. Tang G, Liao X, Chen Y (2005) A novel method for designing S-boxes based on chaotic maps. Chaos, Solitons Fractals 23:413–419

    Article  MATH  Google Scholar 

  4. Khan M, Shah T (2014) A novel construction of substitution box with Zaslavskii chaotic map and symmetric group. J Intell Fuzzy Syst. doi:10.3233/IFS-141434

  5. Khan M, Shah T (2014) A novel image encryption technique based on Hénon chaotic map and S8 symmetric group. Neural Comput Appl 25:1717–1722

    Article  Google Scholar 

  6. Khan M, Shah T (2014) A literature reviews on image encryption. 3D Res 5(4):29–1722. doi:10.1007/s13319-014-0029-0

    Article  MathSciNet  Google Scholar 

  7. Khan M, Shah T, Batool SI (2014) Texture analysis of chaotic coupled map lattices based image encryption algorithm. 3D Res 5:19. doi:10.1007/s13319-014-0019-2

    Article  Google Scholar 

  8. Khan M, Shah T (2014) A novel statistical analysis of chaotic s-box in image encryption. 3D Res 5:16. doi:10.1007/s13319-014-0016-5

    Article  Google Scholar 

  9. Khan M, Shah T, Mahmood H, Gondal MA (2013) An efficient method for the construction of block cipher with multi-chaotic systems. Nonlinear Dyn 71(3):489–492

    Article  MathSciNet  Google Scholar 

  10. Khan M, Shah T, Mahmood H, Gondal MA (2013) An efficient technique for the construction of substitution box with chaotic partial differential equation. Nonlinear Dyn 73(2013):1795–1801

    Article  MathSciNet  Google Scholar 

  11. Khan M, Shah T (2013) An efficient construction of substitution box with fractional chaotic system. Signal Image Video Process. doi:10.1007/s11760-013-0577-4

  12. Khan M, Shah T (2014) A construction of novel chaos base nonlinear component of block cipher. Nonlinear Dyn 76:377–382

    Article  MathSciNet  Google Scholar 

  13. Khan M, Shah T, Mahmood H et al (2012) A novel technique for the construction of strong S-boxes based on chaotic Lorenz systems. Nonlinear Dyn 70:2303–2311

    Article  MathSciNet  Google Scholar 

  14. Zhang Qiang, Guo Ling, Wei Xiaopeng (2010) Image encryption using DNA addition combining with chaotic maps. Math Comput Model 52:2028–2035

    Article  MATH  MathSciNet  Google Scholar 

  15. Saha LM, Tehri R (2010) Applications of recent indicators of regularity and chaos to discrete maps. Int J Appl Math Mech 6(1):86–93

    Google Scholar 

  16. Prokhorow MD, Ponomarenko VI (2008) Encryption and decryption of information in chaotic communication systems governed by delay-differential equations. Chaos, Solitons Fractals 35:871–877

    Article  Google Scholar 

  17. Tang Y, Wang Z, Fang J (2010) Image encryption using chaotic coupled map lattices with time-varying delays. Commun Nonlinear Sci Numer Simul 15:2456–2468

    Article  MATH  MathSciNet  Google Scholar 

  18. Wang Y, Xie Q, Wu Y et al (2009) A software for S-box performance analysis and test. In: 2009 international conference on electronic commerce and business intelligence. Beijing, China, p 125–128

  19. Webster A, Tavares S (1986) On the design of S-boxes. In: Advances in Cryptology: Proceedings of Crypto’85, Santa Barbara, USA. Lecture notes in computer science. 218: 523–534

  20. Adams C, Tavares S (1989) Good S-boxes are easy to find. In: Advances in Cryptology: Proceedings of Crypto’89, Santa Barbara, USA. Lecture notes in computer science. 435: 612–615

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

    Article  MATH  MathSciNet  Google Scholar 

  22. Cusick TW, Stanica P (2009) Cryptographic boolean functions and applications. Elsevier, Amsterdam

    Google Scholar 

  23. Youssef AM, Tavares SE, Gong G (2006) On some probabilistic approximations for AES-like S-boxes. Discrete Math 306(16):2016–2020

    Article  MATH  MathSciNet  Google Scholar 

  24. Youssef AM, Tavares SE (2005) Affine equivalence in the AES round function. Discrete Appl Math 148(2):161–170

    Article  MATH  MathSciNet  Google Scholar 

  25. Jing-mei L, Bao-dian W, Xiang-guo C et al (2005) Cryptanalysis of Rijndael S-box and improvement. Appl Math Comput 170(2):958–975

    Article  MathSciNet  Google Scholar 

  26. Borujeni SE, Eshghi M (2011) Chaotic image encryption system using phase-magnitude transformation and pixel substitution. J Telecommun Syst. doi:10.1007/s11235-011-9458-8

  27. Faraoun Kamel (2010) Chaos-based key stream generator based on multiple maps combinations and its application to images encryption. Int Arab J Inf Technol 7:231–240

    Google Scholar 

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

    Article  Google Scholar 

  29. Zhang G, Liu Q (2011) A novel image encryption method based on total shuffling scheme. J Opt Commun 284:2775–2780

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  31. Kwok HS, Tang WKS (2007) A fast image encryption system based on chaotic maps with finite precision representation. J Chaos Solitons Fractals 32:1518–1529

    Article  MATH  MathSciNet  Google Scholar 

  32. Rhouma R, Belghith S (2008) Cryptanalysis of a new image encryption algorithm based on hyper-chaos. J Phys Lett A 372:5973–5978

    Article  MATH  Google Scholar 

  33. Zhang Q, Guo L, Wei X (2010) Image encryption using DNA addition combining with chaotic maps. J Math Comput Model 52:2028–2035

    Article  MATH  MathSciNet  Google Scholar 

  34. Ferguson N, Schroeppel R, Whiting D (2001) A simple algebraic representation of Rijndael. In: Selected areas in cryptography SAC01, LNCS. 2259:103–111

  35. Mentens N, Batina L, Preneel B, Verbauwhede I (2005) A systematic evaluation of compact hardware implementations for the Rijndael S-box. CT RSA LNCS 3376:323–333

    MathSciNet  Google Scholar 

  36. Lidl R, Niederreiter H (1994) Introduction to finite fields and their applications. Cambridge University Press, Cambridge

    Book  MATH  Google Scholar 

  37. Khanzadi H, Omam MA, Lotfifar F, Eshghi M (2010) Image encryption based on gyrator transform using chaotic maps. IEEE Conference signal process 2608–2612

  38. Baigèneres T, Lu Y, Vaudenay S, Junod P, Monnerat J (2005) A classical introduction to cryptography exercise book. Springer, US

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Majid Khan

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

    Tariq Shah

Authors
  1. Majid Khan
    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

Corresponding author

Correspondence to Majid Khan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khan, M., Shah, T. An efficient chaotic image encryption scheme. Neural Comput & Applic 26, 1137–1148 (2015). https://doi.org/10.1007/s00521-014-1800-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-014-1800-0

Keywords

Search

Navigation