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A novel exploiting modification direction scheme and its application in quantum color image steganography

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Abstract

This paper proposes a novel quantum color image steganography algorithm using an efficient embedding technique of exploiting modification direction (EMD). In this paper, the EMD algorithm is improved to reduce the number of modified pixels and smooth the noticeable changes at both ends of the histogram of hidden images. Besides, a fractional-order chaotic system is proposed to increase the security of secret information. The effective quantum circuit for the quantum steganography algorithm is also presented in this paper. The simulation and numerical analysis demonstrate that the proposed algorithm has good performance in imperceptibility analysis, capacity analysis and security analysis.

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Data availability statement

The used datasets analyzed during the current study are openly available from http://sipi.usc.edu/database/, and the data used to support the findings of this study are available from the corresponding author on reasonable request.

References

  1. Talhaoui, M.Z., Wang, X., Midoun, M.A.: Fast image encryption algorithm with high security level using the Bülban chaotic map. J. Real-Time Image Proc. 18(1), 85–98 (2020)

    Article  Google Scholar 

  2. Xu, Q., Sun, K., He, S., Zhu, C.: An effective image encryption algorithm based on compressive sensing and 2D-SLIM. Opt. Lasers Eng. 134, 106178 (2020)

    Article  Google Scholar 

  3. Xian, Y., Wang, X.: Fractal sorting matrix and its application on chaotic image encryption. Inf. Sci. 547, 1154–1169 (2021)

    Article  MathSciNet  Google Scholar 

  4. Li, L., Zhang, W., Qin, C., Chen, K., Zhou, W., Yu, N.: Adversarial batch image steganography against CNN-based pooled steganalysis. Signal Process. 181, 107920 (2021)

    Article  Google Scholar 

  5. Duan, X., Gou, M., Liu, N., Wang, W., Qin, C.: High-capacity image steganography based on improved xception. Sens. (Basel) 20(24), 7253 (2020)

    Article  ADS  Google Scholar 

  6. Gutub, A., Al-Shaarani, F.: Efficient implementation of multi-image secret hiding based on LSB and DWT steganography comparisons. Arab. J. Sci. Eng. 45(4), 2631–2644 (2020)

    Article  Google Scholar 

  7. Qu, Z., Chen, S., Wang, X.: A secure controlled quantum image steganography algorithm. Quantum Inf. Process. 19(10), 380 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  8. Zhao, S., Yan, F., Chen, K., Yang, H.: Interpolation-based high capacity quantum image steganography. Int. J. Theor. Phys. 60, 3722–3743 (2021)

    Article  MathSciNet  Google Scholar 

  9. Luo, J., Zhou, R.G., Luo, G., Li, Y., Liu, G.: Traceable quantum steganography scheme based on pixel value differencing. Sci. Rep. 9, 15134 (2019)

    Article  ADS  Google Scholar 

  10. Luo, G., Zhou, R.G., Mao, Y.: Two-level information hiding for quantum images using optimal LSB. Quantum Inf. Process. 18(10), 297 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  11. Jiang, N., Zhao, N., Wang, L.: LSB based quantum image steganography algorithm. Int. J. Theor. Phys. 55(1), 107–123 (2015)

    Article  Google Scholar 

  12. Yang, Y., Wang, L., Duan, S., Luo, L.: Dynamical analysis and image encryption application of a novel memristive hyperchaotic system. Opt. Laser Technol. 133, 106553 (2021)

    Article  Google Scholar 

  13. Wang, X., Li, Y., Jin, J.: A new one-dimensional chaotic system with applications in image encryption. Chaos Solitons Fractals 139, 110102 (2020)

    Article  MathSciNet  Google Scholar 

  14. Wang, X., Guan, N., Zhao, H., Wang, S., Zhang, Y.: A new image encryption scheme based on coupling map lattices with mixed multi-chaos. Sci. Rep. 10(1), 9784 (2020)

    Article  ADS  Google Scholar 

  15. Mondal, B., Behera, P.K., Gangopadhyay, S.: A secure image encryption scheme based on a novel 2D sine–cosine cross-chaotic (SC3) map. J. Real-Time Image Proc. 18(1), 1–18 (2020)

    Article  Google Scholar 

  16. Li, X.J., Mou, J., Xiong, L., Wang, Z.S., Xu, J.: Fractional-order double-ring erbium-doped fiber laser chaotic system and its application on image encryption. Opt. Laser Technol. 140, 107074 (2021)

    Article  Google Scholar 

  17. Masood, F., Ahmad, J., Shah, S.A., Jamal, S.S., Hussain, I.: A novel hybrid secure image encryption based on julia set of fractals and 3D Lorenz chaotic map. Entropy (Basel) 22(2), 274 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  18. Qu, Z., Sun, H., Zheng, M.: An efficient quantum image steganography protocol based on improved EMD algorithm. Quantum Inf. Process. 20(2), 53 (2021)

    Article  ADS  MathSciNet  Google Scholar 

  19. Zhou, W., Wang, X., Wang, M., Li, D.: A new combination chaotic system and its application in a new bit-level image encryption scheme. Opt. Lasers Eng. 149, 106782 (2022)

    Article  Google Scholar 

  20. Atici, F.M., Eloe, P.W.: Initial value problems in discrete fractional calculus. Proc. Am. Math. Soc. 137(3), 981–989 (2009)

    Article  MathSciNet  Google Scholar 

  21. Abdeljawad, T.: On Riemann and Caputo fractional differences. Comput. Math. Appl. 62(3), 1602–1611 (2011)

    Article  MathSciNet  Google Scholar 

  22. Chen, F., Luo, X., Zhou, Y.: Existence results for nonlinear fractional difference equation. Adv. Difference Equ. 12, 713201 (2011)

    MathSciNet  MATH  Google Scholar 

  23. Zhou, R.G., Hu, W., Fan, P., Ian, H.: Quantum realization of the bilinear interpolation method for NEQR. Sci. Rep. 7, 2511 (2017)

    Article  ADS  Google Scholar 

  24. Hu, W.W., Zhou, R.G., Liu, X.A., Luo, J., Luo, G.F.: Quantum image steganography algorithm based on modified exploiting modification direction embedding. Quantum Inf. Process. 19(5), 137 (2020)

    Article  ADS  MathSciNet  Google Scholar 

  25. Zhou, R.G., Hu, W., Fan, P.: Quantum watermarking scheme through Arnold scrambling and LSB steganography. Quantum Inf. Process. 16(9), 212 (2017)

    Article  ADS  MathSciNet  Google Scholar 

  26. Adriano, B., Charles, H.B., Richard, C.: Elementary gates for quantum computation. Phys. Rev. A 52(5), 3457–3467 (1995)

    Article  Google Scholar 

  27. Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600–612 (2004)

    Article  ADS  Google Scholar 

  28. Wang, Z., Bovik, A.C.: A universal image quality index. IEEE Signal Process. Lett. 9(3), 81–84 (2002)

    Article  ADS  Google Scholar 

  29. Heidari, S., Farzadnia, E.: A novel quantum LSB-based steganography method using the gray code for colored quantum images. Quantum Inf. Process 16(10), 1–28 (2017)

    Article  MathSciNet  Google Scholar 

  30. Rehman, A., Saba, T., Mahmood, T., Mehmood, Z., Shah, M., Anjum, A.: Data hiding technique in steganography for information security using number theory. J. Inf. Sci. 45(6), 767–778 (2019)

    Article  Google Scholar 

  31. Banharnsakun, A.: Artificial bee colony approach for enhancing LSB based image steganography. Multimed. Tools Appl. 77(20), 27491–27504 (2018)

    Article  Google Scholar 

Download references

Acknowledgements

This research is supported by the National Natural Science Foundation of China (Nos: 61702356), National Natural Science Foundation of ShanXi Province (Nos: 201801D121143).

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Correspondence to Hao Zhang.

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Xie, Hw., Gao, Yj., Liu, Xl. et al. A novel exploiting modification direction scheme and its application in quantum color image steganography. Quantum Inf Process 21, 249 (2022). https://doi.org/10.1007/s11128-022-03596-5

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