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A novel non-equilibrium hyperchaotic system and application on color image steganography with FPGA implementation

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Abstract

In this paper, a new hyperchaotic system without an equilibrium point is proposed and analyzed. A novel steganography technique is advanced by combining the hyperchaotic system, and high steganography capacity is achieved. The secret color image is segmented and quantized for block discrete cosine transformation. The embedded information is compressed using run-length encoding. Finally, the encrypted information is randomly embedded in the least significant bit of cover images. The steganographic images have good imperceptibility and can effectively resist histogram analysis. In addition, to improve the practicability and efficiency of the algorithm, the algorithm is implemented on field-programmable gate array. The hardware implementation methodology provides a promising direction for future image protection studies.

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References

  1. Cao, Y., et al.: Generative steganography based on long readable text generation. IEEE Trans. Comput. Soc. Syst. pp 1–11 (2022)

  2. Gutub, A., Alaseri, K.: Hiding shares of counting-based secret sharing via Arabic text steganography for personal usage. Arab. J. Sci. Eng. 45(4), 2433–2458 (2019)

    Article  Google Scholar 

  3. Su, W., et al.: New design paradigm of distortion cost function for efficient JPEG steganography. Signal Process. 190, 108319 (2022)

    Article  Google Scholar 

  4. Chen, S., Qu, Z.: Novel quantum video steganography and authentication protocol with large payload. Int. J. Theor. Phys. 57(12), 3689–3701 (2018)

    Article  MATH  Google Scholar 

  5. Wang, J., et al.: A cover selection HEVC video steganography based on intra prediction mode. IEEE Access 7, 119393–119402 (2019)

    Article  Google Scholar 

  6. Dutta, H., et al.: An overview of digital audio steganography. IETE Tech. Rev. 37(6), 632–650 (2020)

    Article  Google Scholar 

  7. Ghasemzadeh, H., Kayvanrad, M.H.: Comprehensive review of audio steganalysis methods. IET Signal Proc. 12(6), 673–687 (2018)

    Article  Google Scholar 

  8. Danish, S., Tamer, D.: LSB image steganography based on blocks matrix determinant method. KSII Trans. Internet Inf. Syst. (2019). https://doi.org/10.3837/tiis.2019.07.024

    Article  Google Scholar 

  9. Sonar, R., Swain, G.: Steganography based on quotient value differencing and pixel value correlation. CAAI Trans. Intell. Technol. 6(4), 504–519 (2021)

    Article  Google Scholar 

  10. Kalita, M., Tuithung, T., Majumder, S.: A new steganography method using integer wavelet transform and least significant bit substitution. Comput. J. 62(11), 1639–1655 (2019)

    Article  Google Scholar 

  11. Kich, I., et al.: Image steganography scheme using dilated convolutional network. In: 2021 12th international conference on information and communication systems (ICICS). pp 305–309 (2021)

  12. Zhang, S., et al.: CSST-Net: an arbitrary image style transfer network of coverless steganography. Vis. Comput. (2021)

  13. Yang, Y., et al.: Generating multi-wing hidden attractors with only stable node-foci via non-autonomous approach. Phys. Scr. 96(12), 125220 (2021)

    Article  Google Scholar 

  14. Lin, H., et al.: An extremely simple multiwing chaotic system: dynamics analysis, encryption application, and hardware implementation. IEEE Trans. Industr. Electron. 68(12), 12708–12719 (2021)

    Article  Google Scholar 

  15. Xie, Q., Zeng, Y.: Generating different types of multi-double-scroll and multi-double-wing hidden attractors. Eur. Phys. J. Spec. Top. 229(6–7), 1361–1371 (2020)

    Article  Google Scholar 

  16. Lai, Q., Wan, Z., Kamdem Kuate, P.D.: Modelling and circuit realisation of a new no-equilibrium chaotic system with hidden attractor and coexisting attractors. Appl. Intell. 56(20), 1044–1046 (2020)

    Google Scholar 

  17. Lai, Q., et al.: Analysis and implementation of no-equilibrium chaotic system with application in image encryption. Appl. Intell. 52(10), 11448–11471 (2022)

    Article  Google Scholar 

  18. Tutuncu, K., Demirci, B.: Adaptive LSB steganography based on chaos theory and random distortion. Adv. Electr. Comput. Eng. 18(3), 15–22 (2018)

    Article  Google Scholar 

  19. Akgul, A., Moroz, I.M., Durdu, A.: A novel data hiding method by using a chaotic system without equilibrium points. Mod. Phys. Lett. B 33(29), 1950357 (2019)

    Article  Google Scholar 

  20. Sprott, J.C.: Some simple chaotic flows. Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 50(2), R647–R650 (1994)

    Google Scholar 

  21. Dong, C., Wang, J.: Hidden and coexisting attractors in a novel 4D hyperchaotic system with no equilibrium point. Fractal Fract. 6(6), 306 (2022)

    Article  Google Scholar 

  22. Jahanshahi, H., et al.: entropy analysis and neural network-based adaptive control of a non-equilibrium four-dimensional chaotic system with hidden attractors. Entropy (Basel) 21(2), 156 (2019)

    Article  Google Scholar 

  23. Lai, Q., Xu, G., Pei, H.: Analysis and control of multiple attractors in Sprott B system. Chaos Solitons Fractals 123, 192–200 (2019)

    Article  MATH  Google Scholar 

  24. Ramamoorthy, R., et al.: Multistable dynamics and control of a new 4D memristive chaotic Sprott B system. Chaos Solitons Fractals 156, 111834 (2022)

    Article  Google Scholar 

  25. Cai, H., et al.: A novel multi-wing chaotic system with FPGA implementation and application in image encryption. J. Real-Time Image Proc. 19(4), 775–790 (2022)

    Article  Google Scholar 

  26. Arai, Y., Agui, T., Nakajima, M.: A fast DCT-SQ scheme for images. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 71, 1095–1097 (1988)

    Google Scholar 

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

    Article  Google Scholar 

  28. Tseng, H.W., Leng, H.S.: A reversible modified least significant bit (LSB) matching revisited method. Signal Process. Image Commun. 101, 116556 (2022)

    Article  Google Scholar 

  29. Liu, H.H., Lee, C.M.: High-capacity reversible image steganography based on pixel value ordering. EURASIP J. Image Video Process. 2019(1), 1–15 (2019)

    Article  Google Scholar 

  30. Li, P., Liu, X.: A novel quantum steganography scheme for color images. Int. J. Quantum Inf. 16(02), 1850020 (2018)

    Article  MATH  Google Scholar 

  31. Verma, V., Muttoo, S.K., Singh, V.B.: Enhanced payload and trade-off for image steganography via a novel pixel digits alteration. Multimed. Tools Appl. 79(11–12), 7471–7490 (2019)

    Google Scholar 

  32. Ren, S., et al.: A New chaotic flow with hidden attractor: the first hyperjerk system with no equilibrium. Zeitschrift für Naturforschung A 73(3), 239–249 (2018)

    Article  Google Scholar 

Download references

Acknowledgements

This research is supported by the National Natural Science Foundation of China (Nos: 61702356), Project 1331 of Shanxi Province (Nos: SC9100026).

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Authors and Affiliations

  1. College of Software, Taiyuan University of Technology, Jinzhong, 030600, China

    Jing-yu Sun & Hong Cai

  2. College of Information and Computer, Taiyuan University of Technology, Jinzhong, 030600, China

    Zi-bo Gao & Hao Zhang

  3. School of Cyber Security, Qilu University of Technology, Jinan, 250300, China

    Chun-peng Wang

Authors
  1. Jing-yu Sun
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  2. Hong Cai
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  3. Zi-bo Gao
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  4. Chun-peng Wang
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  5. Hao Zhang
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Correspondence to Hao Zhang.

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Sun, Jy., Cai, H., Gao, Zb. et al. A novel non-equilibrium hyperchaotic system and application on color image steganography with FPGA implementation. Nonlinear Dyn 111, 3851–3868 (2023). https://doi.org/10.1007/s11071-022-07993-4

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  • DOI: https://doi.org/10.1007/s11071-022-07993-4

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