© The Institution of Engineering and Technology
In this study, an enhanced quadratic map (EQM) is proposed and has been applied in a new colour image encryption scheme. The performance evaluations show that the EQM has excellent performances such as better Lyapunov exponent and larger chaotic ranges when compared with the classical quadratic map. The sequences generated from this EQM are successfully used in a new proposed colour image encryption scheme with excellent confusion and diffusion properties. The encryption structure is based on the permutation–diffusion process, and then adopted on the classical permutation, it is characterised by a high speed of diffusion, which enables the encryption of the three components of the plaintext image at the same time, and these encrypted components are simultaneously related to each other. The proposed scheme is tested on the USCSIPI image dataset and on the reallife image dataset; its effectiveness is also compared with five latterly proposed image encryption schemes. The simulation results indicate that the proposed scheme has the properties of large key space, a weaker correlation between neighbouring pixels, higher sensitivity towards key, greater randomness of pixels and the capacity to withstand statistical analysis, plaintext/chosenplaintext attacks, and differential attacks, thus that it has higher security and can be appropriate for image encryption.
References


1)

42. Wu, Y., Noonan, J.P., Agaian, S.: ‘NPCR and UACI randomness tests for image encryption’, Cyber J., Multidiscip. J. Sci. Technol. J. Sel. Areas Telecommun., 2011, 1, (2), pp. 31–38.

2)

28. Lynch, S.: ‘Dynamical systems with applications using MATLAB’ (Springer, Cham, 2004).

3)

18. Liu, H., Kadir, A., Sun, X.: ‘Chaosbased fast colour image encryption scheme with true random number keys from environmental noise’, IET Image Process., 2017, 11, (5), pp. 324–332.

4)

30. Hussain, I., Anees, A., Aslam, M., et al: ‘A noise resistant symmetric key cryptosystem based on S8 Sboxes and chaotic maps’, Eur. Phys. J. Plus, 2018, 133, pp. 1–23.

5)

19. Zhang, X., Wang, X.: ‘Multipleimage encryption algorithm based on mixed image element and permutation’, Opt. Lasers Eng., 2017, 92, pp. 6–16.

6)

5. Pak, C., Huang, L.: ‘A new color image encryption using combination of the 1d chaotic map’, Signal Process., 2017, 138, pp. 129–137.

7)

36. Yang, B., Liao, X.: ‘A new color image encryption scheme based on logistic map over the finite field ZN’, Multimedia Tools Appl., 2018, 77, pp. 21803–21821.

8)

23. Hua, Z., Zhou, Y., Pun, C.M., et al: ‘2D sine logistic modulation map for image encryption’, Inf. Sci., 2015, 297, pp. 80–94.

9)

38. SilvaGarca, V.M., FloresCarapia, R., RenteraMárquez, C., et al: ‘Cipher image damage and decisions in real time’, J. Electron. Imaging, 2015, 24, (1), p. 013012.

10)

43. Wang, X., Teng, L., Qin, X.: ‘A novel colour image encryption algorithm based on chaos’, Signal Process., 2012, 92, (4), pp. 1101–1108.

11)

12. Pak, C., An, K., Jang, P., et al: ‘A novel bitlevel color image encryption using improved 1D chaotic map’, Multimedia Tools Appl., 2019, 78, pp. 12027–12042.

12)

9. Sahari, M.L., Boukemara, I.: ‘A pseudorandom numbers generator based on a novel 3d chaotic map with an application to color image encryption’, Nonlinear Dyn., 2018, 94, (1), pp. 723–744.

13)

39. Wu, J., Liao, X., Yang, B.: ‘Cryptanalysis and enhancements of image encryption based on threedimensional bit matrix permutation’, Signal Process., 2018, 142, pp. 292–300.

14)

20. Mancy, L., Vigila, S.M.C.: ‘A new diffusion and substitution based cryptosystem for securing medical image applications’, Int. J. Electron. Secur. Digit. Forensics, 2018, 10, (4), pp. 388–400.

15)

2. Mokhtar, M.A., Sadek, N.M., Mohamed, A.G.: ‘Design of image encryption algorithm based on different chaotic mapping’. 2017 34th National Radio Science Conf. (NRSC), Alexandria, Egypt, 2017, pp. 197–204.

16)

27. Tian, Y., Lu, Z.: ‘Novel permutationdiffusion image encryption algorithm with chaotic dynamic sbox and DNA sequence operation’, AIP Adv., 2017, 7, (8), p. 085008.

17)

41. Li, J., Liu, H.: ‘Colour image encryption based on advanced encryption standard algorithm with twodimensional chaotic map’, IET Inf. Sec., 2013, 7, (4), pp. 265–270.

18)

15. Herbadji, D., Derouiche, N., Belmeguenai, A., et al: ‘A new image encryption scheme using an enhanced logistic map’. 2018 Int. Conf. on Applied Smart Systems (ICASS), Medea, Algeria, 2018, pp. 1–6.

19)

13. Parvaz, R., Zarebnia, M.: ‘A combination chaotic system and application in color image encryption’, Opt. Laser Technol., 2018, 101, pp. 30–41.

20)

16. Hua, Z., Zhou, Y.: ‘Image encryption using 2D logisticadjustedsine map’, Inf. Sci., 2016, 339, pp. 237–253.

21)

34. Cao, C., Sun, K., Liu, W.: ‘A novel bitlevel image encryption algorithm based on 2Dlicm hyperchaotic map’, Signal Process., 2018, 143, pp. 122–133.

22)

26. Wang, Y., Liu, Z., Ma, J., et al: ‘A pseudorandom number generator based on piecewise logistic map’, Nonlinear Dyn., 2016, 83, (4), pp. 2373–2391.

23)

35. Abanda, Y., Tiedeu, A.: ‘Image encryption by chaos mixing’, IET Image Process., 2016, 10, (10), pp. 742–750.

24)

22. Zhou, Y., Bao, L., Chen, C.P.: ‘A new 1D chaotic system for image encryption’, Signal Process., 2014, 97, pp. 172–182.

25)

8. Essaid, M., Akharraz, I., Saaidi, A., et al: ‘A new image encryption scheme based on confusiondiffusion using an enhanced skew tent map’, Procedia Comput. Sci., 2018, 127, pp. 539–548.

26)

37. Shafique, A., Shahid, J.: ‘Novel image encryption cryptosystem based on binary bit planes extraction and multiple chaotic maps’, Eur. Phys. J. Plus, 2018, 133, (8), p. 331.

27)

24. LvChen, C., YuLing, L., SenHui, Q., et al: ‘A perturbation method to the tent map based on Lyapunov exponent and its application’, Chin. Phys. B, 2015, 24, (10), p. 100501.

28)

4. Bekkouche, T., Bouguezel, S.: ‘Digital double random amplitude image encryption method based on the symmetry property of the parametric discrete Fourier transform’, J. Electron. Imaging, 2018, 27, (2), p. 023033.

29)

1. Mondal, B., Kumar, P., Singh, S.: ‘A chaotic permutation and diffusion based image encryption algorithm for secure communications’, Multimedia Tools Appl., 2018, 77, pp. 31177–31198.

30)

17. Wu, X., Zhu, B., Hu, Y., et al: ‘A novel color image encryption scheme using rectangular transformenhanced chaotic tent maps’, IEEE Access, 2017, 5, pp. 6429–6436.

31)

33. Alvarez, G., Li, S.: ‘Some basic cryptographic requirements for chaosbased cryptosystems’, Int. J. Bifurcation Chaos, 2006, 16, (8), pp. 2129–2151.

32)

21. Girdhar, A., Kumar, V.: ‘A RGB image encryption technique using Lorenz and Rossler chaotic system on DNA sequences’, Multimedia Tools Appl., 2018, 77, pp. 27017–27039.

33)

32. Jolfaei, A., Wu, X.W., Muthukkumarasamy, V.: ‘On the security of permutationonly image encryption schemes’, IEEE Trans. Inf. Forensics Sec., 2016, 11, (2), pp. 235–246.

34)

3. Ramadan, N., Ahmed, H.E.H., Elkhamy, S.E., et al: ‘Chaosbased image encryption using an improved quadratic chaotic map’, Am. J. Signal Process., 2016, 6, (1), pp. 1–13.

35)

11. Arroyo, D., Diaz, J., Rodriguez, F.: ‘Cryptanalysis of a one round chaosbased substitution permutation network’, Signal Process., 2013, 93, (5), pp. 1358–1364.

36)

6. Ahmad, M., Alam, M.Z., Umayya, Z., et al: ‘An image encryption approach using particle swarm optimization and chaotic map’, Int. J. Inf. Technol., 2018, 10, (3), pp. 247–255.

37)

14. Li, R., Liu, Q., Liu, L.: ‘Novel image encryption algorithm based on improved logistic map’, IET Image Process., 2018, 13, (1), pp. 125–134.

38)

10. Wang, X.Y., Gu, S.X.: ‘New chaotic encryption algorithm based on chaotic sequence and plain text’, IET Inf. Sec., 2014, 8, (3), pp. 213–216.

39)

7. Zhang, Y.: ‘The unified image encryption algorithm based on chaos and cubic sbox’, Inf. Sci., 2018, 450, pp. 361–377.

40)

29. Zhang, M., Tong, X.: ‘Joint image encryption and compression scheme based on a new hyperchaotic system and curvelet transform’, J. Electron. Imaging, 2017, 26, (4), p. 043008.

41)

40. Zhan, K., Wei, D., Shi, J., et al: ‘Crossutilizing hyperchaotic and DNA sequences for image encryption’, J. Electron. Imaging, 2017, 26, (1), p. 013021.

42)

25. Natiq, H., AlSaidi, N., Said, M., et al: ‘A new hyperchaotic map and its application for image encryption’, Eur. Phys. J. Plus, 2018, 133, (1), p. 6.

43)

31. Wang, X., Wang, S., Zhang, Y., et al: ‘A novel image encryption algorithm based on chaotic shuffling method’, Inf. Secur. J., Glob. Perspect., 2017, 26, (1), pp. 7–16.
http://iet.metastore.ingenta.com/content/journals/10.1049/ietipr.2019.0123
Related content
content/journals/10.1049/ietipr.2019.0123
pub_keyword,iet_inspecKeyword,pub_concept
6
6