Skip to main content
Log in

Color image encryption algorithm based on hyperchaotic system and improved quantum revolving gate

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

Abstract

Because quantum computing can break encryption systems based on mathematical models, this paper proposes a new color quantum image encryption algorithm based on hyperchaotic system and quantum revolving gate. First, the classic image is diffused, the matrix generated by the four-wing chaotic system is serialized, and XORed with the key and plaintext to obtain the semi-ciphertext image. Then, the quantum rotation method is used to perform scrambling operations on images quantized using the improved novelty enhanced quantum representation (NEQR) model. The angle of rotation is determined by the sequence generated by the piecewise chaotic map. Finally, the experimental results and performance analysis prove that the algorithm has high security performance.

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

Access this article

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

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

Similar content being viewed by others

References

  1. Abdulla AA, Sellahewa H, Jassim SA (2019) Improving embedding efficiency for digital steganography by exploiting similarities between secret and cover images. Multimed Tools Appl 78(13):17799–17823

    Article  Google Scholar 

  2. Abuturab MR (2015) An asymmetric single-channel color image encryption based on Hartley transform and gyrator transform. Opt Lasers Eng 69:49–57

    Article  Google Scholar 

  3. Alghafis A, Waseem HM, Khan M, Jamal SS (2020) A hybrid cryptosystem for digital contents confidentiality based on rotation of quantum spin states. Physica A Stat Mech Appl 554:123908

    Article  MathSciNet  Google Scholar 

  4. Atali G, Sonmez E (2021) Efficient chaos-based image encryption approach for secure communication. J Electron Imaging 30(2):023026

    Article  Google Scholar 

  5. Bansal M, Kumar M, Kumar M (2021) 2D object recognition: a comparative analysis of SIFT, SURF and ORB feature descriptors. Multimed Tools Appl 80(12):18839–18857

    Article  Google Scholar 

  6. Bansal M, Kumar M, Kumar M, Kumar K (2021) An efficient technique for object recognition using Shi-Tomasi corner detection algorithm. Soft Comput 25(6):4423–4432

    Article  Google Scholar 

  7. Chai X, Fu X, Gan Z, Lu Y, Chen Y (2019) A color image cryptosystem based on dynamic DNA encryption and chaos. Signal Process 155:44–62

    Article  Google Scholar 

  8. Chhabra P, Garg NK, Kumar M (2020) Content-based image retrieval system using ORB and SIFT features. Neural Comput Appl 32(7):2725–2733

    Article  Google Scholar 

  9. Farhan M, Sanjeev K (2020) Image encryption using quantum 3-D baker map and generalized gray code coupled with fractional Chen’s chaotic system. Quantum Inf Process 19(8):1–31

    MathSciNet  Google Scholar 

  10. Geist K, Parlitz U, Lauterborn W (1990) Comparison of different methods for computing Lyapunov exponents. Prog Theor Phys 83(5):875–893

    Article  MathSciNet  MATH  Google Scholar 

  11. Hua ZY, Zhu ZH, Chen YY, Li YM (2021) Color image encryption using orthogonal Latin squares and a new 2D chaotic system. Nonlinear Dyn 4(4):4505–4522

    Article  Google Scholar 

  12. Jiang N, Dong X, Hu H, Ji ZX, Zhang WY (2019) Quantum image encryption based on Henon mapping. Int J Theor Phys 58(3):979–991

    Article  MathSciNet  MATH  Google Scholar 

  13. Kai Z, Weng J (2017) Novel four-wing hyper-chaos system and its application in image encryption. Comput Eng Appl 53(12):36–44

    Google Scholar 

  14. Khan M, Rasheed A (2019) Permutation-based special linear transforms with application in quantum image encryption algorithm. Quantum Inf Process 18(10):1–21

    Article  Google Scholar 

  15. Kumar M, Kumar M (2021) XGBoost: 2D-object recognition using shape descriptors and extreme gradient boosting classifier. Computational Methods and Data Engineering Singapore, 207–222

  16. Kumar M, Iqbal A, Kumar P (2016) A new RGB image encryption algorithm based on DNA encoding and elliptic curve Diffie-Hellman cryptography. Signal Process 125:187–202

    Article  Google Scholar 

  17. Kumar M, Sathish G, Alphonse M, Lahcen RAM (2019) A new RGB image encryption using generalized heat equation associated with generalized Vigenere-type table over symmetric group. Multimed Tools Appl 78(19):28025–28061

    Article  Google Scholar 

  18. Li Q, Wang XY, Ma B, Wang XY, Wang CP, Xia ZQ, Shi YQ (2021) Image steganography based on style transfer and quaternion exponent moments. Appl Soft Comput 110:107618

    Article  Google Scholar 

  19. Lin WH, Horng SNJ, Kao TW, Fan P, Lee CI, Pan Y (2008) An efficient watermarking method based on significant difference of wavelet coefficient quantization. IEEE Trans Multimedia 10(5):746–757

    Article  Google Scholar 

  20. Liu HJ, Wang XY (2010) Color image encryption based on one-time key sand robust chaotic maps. Comput Math Appl 59(10):3320–3327

    Article  MathSciNet  MATH  Google Scholar 

  21. Liu H, Zhang Y, Kadir A, Xu Y (2019) Image encryption using complex hyper chaotic system by injecting impulse into parameters. Appl Math Comput 360:83–93

    MathSciNet  MATH  Google Scholar 

  22. Liu H, Kadir A, Xu C (2020) Color image encryption with cipher feedback and coupling chaotic map. Int J Bifurc Chaos 30(12):2050173

    Article  MathSciNet  MATH  Google Scholar 

  23. Luo YL, Zhou R, Liu J, Qiu S, Cao Y (2018) An efficient and self-adapting colour-image encryption algorithm based on chaos and interactions among multiple layers. Multimed Tools Appl 77(20):26191–26217

    Article  Google Scholar 

  24. Luo YL, Tang SB, Liu JX, Cao LC, Qiu SH (2020) Image encryption scheme by combining the hyper-chaotic system with quantum coding. Opt Lasers Eng 124:105836

    Article  Google Scholar 

  25. Patro KAK, Acharya B (2019) An efficient colour image encryption scheme based on 1-D chaotic maps. J Inf Secur Appl 46:23–41

    Google Scholar 

  26. Pevny T, Filler T, Bas P (2010) Using high-dimensional image models to perform highly undetectable steganography. In: International Workshop on Information Hiding, vol 6387, pp 161–177

    Chapter  Google Scholar 

  27. Sui L, Liu B, Wang Q, Li Y, Liang J (2015) Color image encryption by using Yang-Gu mixture amplitude-phase retrieval algorithm in gyrator transform domain and two-dimensional sine logistic modulation map. Opt Lasers Eng 75:17–26

    Article  Google Scholar 

  28. Sun XC, Lu ZM, Wang Z, Liu YL (2021) A geometrically robust multi-bit video watermarking algorithm based on 2-D DFT. Multimed Tools Appl 80(9):13491–13511

    Article  Google Scholar 

  29. Tan RC, Lei T, Zhao QM, Gong LH, Zhou ZH (2016) Quantum color image encryption algorithm based on a hyper-chaotic system and quantum Fourier transform. Int J Theor Phys 55(12):5368–5384

    Article  MATH  Google Scholar 

  30. Wang XY, Gao S (2020) Image encryption algorithm for synchronously updating Boolean networks based on matrix semi-tensor product theory. Inf Sci 507:16–36

    Article  MathSciNet  MATH  Google Scholar 

  31. Wang XY, Gao S (2020) Image encryption algorithm based on the matrix semi-tensor product with a compound secret key produced by a Boolean network. Inf Sci 539:195–214

    Article  MathSciNet  MATH  Google Scholar 

  32. Wang XY, Li ZM (2019) A color image encryption algorithm based on Hopfield chaotic neural network. Opt Lasers Eng 115:107–118

    Article  Google Scholar 

  33. Wang XY, Liu PB (2021) A new full chaos coupled mapping lattice and its application in privacy image encryption. IEEE Trans Circuits Syst I Regul Pap:1–11. https://doi.org/10.1109/TCSI.2021.3133318

  34. Wang XY, Yang JJ (2021) A privacy image encryption algorithm based on piecewise coupled map lattice with multi dynamic coupling coefficient. Inf Sci 569:217–240

    Article  MathSciNet  Google Scholar 

  35. Wang RZ, Lin CF, Lin JC (2001) Image hiding by optimal LSB substitution and genetic algorithm. Pattern Recogn 34(3):671–683

    Article  MATH  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  37. Wang Y, Quan C, Tay CJ (2015) Optical color image encryption without information disclosure using phase-truncated Fresnel transform and a random amplitude mask. Opt Commun 344:147–155

    Article  Google Scholar 

  38. Wang W, Tan H, Pang Y, Li ZY, Ran P, Wu J (2016) A novel encryption algorithm based on DWT and multichaos mapping. Journal of Sensors 2016(5):1–7

    Google Scholar 

  39. Wang XY, Feng L, Zhao HY (2019) Fast image encryption algorithm based on parallel computing system. Inf Sci 486:340–358

    Article  MATH  Google Scholar 

  40. Wang HQ, Song XH, Chen LL, Xie W (2019) A secret sharing scheme for quantum gray and color images based on encryption. Int J Theor Phys 58(5):1626–1650

    Article  MathSciNet  MATH  Google Scholar 

  41. Wang L, Ran Q, Ma J (2020) Double quantum color images encryption scheme based on DQRCI. Multimed Tools Appl 79(9):6661–6687

    Article  Google Scholar 

  42. Xian YJ, Wang XY, Teng L (2021) Double parameters fractal sorting matrix and its application in image encryption. IEEE Trans Circuits Syst Video Technol:1. https://doi.org/10.1109/TCSVT.2021.3108767

  43. Yang YG, Tian J, Lei H, Zhou YH, Shi WM (2016) Novel quantum image encryption using one-dimensional quantum cellular automata. Inf Sci 345:257–270

    Article  Google Scholar 

  44. Yassen MT (2008) Synchronization hyperchaos of hyperchaotic systems. Chaos Solitons Fractals 37(2):465–475

    Article  MathSciNet  Google Scholar 

  45. Zhang Y, Lu K, Gao Y, Xu K (2013) A novel quantum representation for log-polar images. Quantum Inf Process 12(9):3103–3126

    Article  MathSciNet  MATH  Google Scholar 

  46. Zhou NR, Hua TX, Gong LH, Dong JP, Qing HL (2015) Quantum image encryption based on generalized Arnold transform and double random-phase encoding. Quantum Inf Process 14(4):1193–1213

    Article  MathSciNet  MATH  Google Scholar 

  47. Zhou N, Hu Y, Gong L, Li G (2017) Quantum image encryption scheme with iterative generalized Arnold transforms and quantum image cycle shift operations. Quantum Inf Process 16(6):164

    Article  MathSciNet  MATH  Google Scholar 

  48. Zhou N, Chen W, Yan X, Wang Y (2018) Bit-level quantum color image encryption scheme with quantum cross-exchange operation and hyper-chaotic system. Quantum Inf Process 17(6):1–24

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

This research is supported by the National Natural Science Foundation of China (No: 61672124), the Password Theory Project of the 13th FiveYear Plan National Cryptography Development Fund (No: MMJJ20170203), Liaoning Province Science and Technology Innovation Leading Talents Program Project (No: XLYC1802013), Key R&D Projects of Liaoning Province (No: 2019020105-JH2/103), Jinan City ‘20 universities’ Funding Projects Introducing Innovation Team Program (No: 2019GXRC031), Research Fund of Guangxi Key Lab of Multi-source Information Mining & Security (No: MIMS20-M-02).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xingyuan Wang.

Ethics declarations

Conflict of interest

The authors declare that they have no conflicts of interest.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, X., Su, Y., Luo, C. et al. Color image encryption algorithm based on hyperchaotic system and improved quantum revolving gate. Multimed Tools Appl 81, 13845–13865 (2022). https://doi.org/10.1007/s11042-022-12220-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11042-022-12220-8

Keywords

Navigation