Advertisement

Image encryption algorithm based on quantum chaotic map and DNA coding

  • Jian Zhang
  • Da Huo
Article
  • 76 Downloads

Abstract

With the rapid development of network and information technology, people are paying more attention to the security of information, particularly digital image protection, and numerous image encryption algorithms have been proposed. Because of the non-periodicity and sensitivity to the initial value, chaotic map seems to be a tool that can be used for image encryption. Recent work has shown that the quantum chaotic map is very sensitive to a slight change in the initial conditions. The sensitivity of the quantum chaotic map can extremely increase the complexity of the encryption algorithms. At present, a wide variety of image encryption algorithms based on DNA encoding have been proposed, where the image pixel values are encoded by four base pairs of DNA to achieve image pixel diffusion, but most of the methods in selecting the DNA encoding rules are fixed. In this paper, we present a new image encryption algorithm with the quantum chaotic map, the Lorenz chaotic map and DNA coding, which uses four base pairs of DNA dynamically select eight types of DNA encoding rules and eight types of DNA addition and XOR rules. This strategy has led to a significant enhancement in reliability and security. Through simulation experiments, the results of the histograms, correlations and the number of pixels change rate (NPCR) analyses indicate that the proposed algorithm possesses a high level of security and can successfully resist different attacks such as brute-force attacks and statistical attacks.

Keywords

Quantum chaotic map DNA coding Lorenz chaotic map Image encryption 

Notes

Acknowledgements

The work is supported by the Fundamental Research Funds for the Central Universities (No. 2572017CB35) and the Science and Technology Innovation Talent Research Fund of Harbin (No. 2017RAQXJ098).

References

  1. 1.
    Ahmed F, Anees A, Abbas V, Siyal M (2014) A Noisy Channel tolerant image encryption scheme. Wirel Pers Commun 77(4):2771–2791CrossRefGoogle Scholar
  2. 2.
    Akhshani A, Akhavan A, Lim S, Hassan Z (2012) An image encryption scheme based on quantum logistic map. Commun Nonlinear Sci Num Simul 17(12):4653–4661MathSciNetCrossRefGoogle Scholar
  3. 3.
    Akhshani A, Akhavan A, Mobaraki A, Lim S, Hassan Z (2014) Pseudo random number generator based on quantum chaotic map. Commun Nonlinear Sci Num Simul 19(1):101–111CrossRefGoogle Scholar
  4. 4.
    Axenides M, Floratos E, Nicolis S (2018) The quantum cat map on the modular discretization of extremal black hole horizons[J]. Eur Phys J C 78(5):412–427CrossRefGoogle Scholar
  5. 5.
    Bakhshandeh A, Eslami Z (2013) An authenticated image encryption scheme based on chaotic maps and memory cellular automata. Optics Lasers Eng 51(6):665–673CrossRefGoogle Scholar
  6. 6.
    Chai X, Chen Y, Broyde L (2017) A novel chaos-based image encryption algorithm using DNA sequence operations. Optics Lasers Eng 88:197–213CrossRefGoogle Scholar
  7. 7.
    Enayatifar R, Abdullah A, Isnin I (2014) Chaos-based image encryption using a hybrid genetic algorithm and a DNA sequence. Optics Lasers Eng 56(5):83–93CrossRefGoogle Scholar
  8. 8.
    Goggin M, Sundaram B, Milonni P (1990) Quantum logistic map. Phys Rev A 41(10):5705–5708MathSciNetCrossRefGoogle Scholar
  9. 9.
    Hermassi H, Rhouma R, Belghith S (2013) Improvement of an image encryption algorithm based on hyper-chaos. Telecommun Syst 52(2):539–549Google Scholar
  10. 10.
    Hu T, Liu Y, Gong LH, Ouyang C (2017) An image encryption scheme combining chaos with cycle operation for DNA sequences. Nonlinear Dynam 87:1–16CrossRefGoogle Scholar
  11. 11.
    Huang X, Ye G (2014) An image encryption algorithm based on hyper-chaos and DNA sequence. Multimed Tools Appl 72(1):57–70CrossRefGoogle Scholar
  12. 12.
    Inoue K, Ohya M, Volovich IV (2009) On a combined quantum Baker's map and its characterization by entropic Chaos degree[J]. Open Syst Inform Dynam 16(02&03):179–193MathSciNetCrossRefGoogle Scholar
  13. 13.
    Kadir A, Aili M, Sattar M (2017) Color image encryption scheme using coupled hyper chaotic system with multiple impulse injections. Optik - Int J Light Electron Optics 129:231–238CrossRefGoogle Scholar
  14. 14.
    Kalpana J, Murali P (2015) An improved color image encryption based on multiple DNA sequence operations with DNA synthetic image and chaos. Optik - Int J Light Electron Optics 126(24):5703–5709CrossRefGoogle Scholar
  15. 15.
    Kulsoom A, Xiao D, Rehman A, Abbas S (2016) An efficient and noise resistive selective image encryption scheme for gray images based on chaotic maps and DNA complementary rules. Multimed Tools Appl 75(1):1–23CrossRefGoogle Scholar
  16. 16.
    Li C, Zhang L, Ou R, Wong K, Shu S (2012) Breaking a novel color image encryption algorithm based on chaos. Nonlinear Dynam 70(4):2383–2388MathSciNetCrossRefGoogle Scholar
  17. 17.
    Liu H, Wang X, Kadir A (2012) Image encryption using DNA complementary rule and chaotic maps. Appl Soft Comput J 12(5):1457–1466CrossRefGoogle Scholar
  18. 18.
    Mazloom S, Eftekhari-Moghadam A (2009) Color image encryption based on coupled nonlinear chaotic map. Chaos, Solitons Fractals 42(3):1745–1754CrossRefGoogle Scholar
  19. 19.
    Rehman A, Liao X, Kulsoom A, Abbas S (2015) Selective encryption for gray images based on chaos and DNA complementary rules. Multimed Tools Appl 74(13):4655–4677CrossRefGoogle Scholar
  20. 20.
    Sharma N, Saini I, Yadav A, Singh P (2017) Phase-image encryption based on 3D-Lorenz chaotic system and double random phase encoding. 3D Res 8(4):39–56CrossRefGoogle Scholar
  21. 21.
    Tang Z, Zhang X, Lan W (2014) Efficient image encryption with block shuffling and chaotic map. Multimed Tools Appl 74(15):1–20Google Scholar
  22. 22.
    Tian Y, Lu Z (2017) Novel permutation-diffusion image encryption algorithm with chaotic dynamic S-box and DNA sequence operation. AIP Adv 7(8):085008CrossRefGoogle Scholar
  23. 23.
    Wang X, Liu C (2016) A novel and effective image encryption algorithm based on chaos and DNA encoding. Multimed Tools Appl 76(5):1–17Google Scholar
  24. 24.
    Wang X, Wang Q (2013) A novel image encryption algorithm based on dynamic S-boxes constructed by chaos. Nonlinear Dynam 75(3):567–576CrossRefGoogle Scholar
  25. 25.
    Wang Y, Lei P, Yang H, Cao H (2015) Security analysis on a color image encryption based on DNA encoding and chaos map. Comput Electr Eng 46(C):433–446CrossRefGoogle Scholar
  26. 26.
    Wang H, Liang H, Miao Z (2016) A new color image encryption scheme based on chaos synchronization of time-delay Lorenz system. Adv Manufact 4(4):348–354CrossRefGoogle Scholar
  27. 27.
    Xu G, Guo X (2014) DNA image encryption algorithm improvement. Laser J 35(7):23–29Google Scholar
  28. 28.
    Zhang Q, Guo L, Wei X (2010) Image encryption using DNA addition combining with chaotic maps. Math Comput Model 52(11):2028–2035MathSciNetCrossRefGoogle Scholar
  29. 29.
    Zhang J, Hou D, Ren H (2016) Image encryption algorithm based on dynamic DNA coding and Chen’s Hyperchaotic system. Math Probl Eng 11:1–11MathSciNetzbMATHGoogle Scholar
  30. 30.
    Zhao J, Wang S, Chang Y, Li X (2015) A novel image encryption scheme based on an improper fractional-order chaotic system. Nonlinear Dynam 80(4):1721–1729MathSciNetCrossRefGoogle Scholar
  31. 31.
    Zhen P, Zhao G, Min L, Jin X (2016) Chaos-based image encryption scheme combining DNA coding and entropy. Multimed Tools Appl 75(11):6303–6319CrossRefGoogle Scholar
  32. 32.
    Zhou Y, Bao L, Chen C (2014) A new 1D chaotic system for image encryption. Signal Process 97(7):172–182CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Information and Computer EngineeringNortheast Forestry UniversityHarbinChina

Personalised recommendations