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Cryptanalysis and improvement of an image encryption algorithm based on chaotic and Latin square

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Abstract

Cryptanalysis is important to the design of image cryptographic system. Recently, a two-round image cryptographic system is proposed and the authors claim that it is security. However, we find that the diffusion equation causes certain cipher images to appear period. According to this feature, we analyze one-round encryption by chosen-plaintext attack at first. And the encrypted image is successfully cracked. Then, we analyze two-round encryption in the same way. Although the encrypted image cannot be fully cracked, some equivalent keys are obtained. To remedy the loophole, the original encryption scheme is improved and the security analysis is performed. Experiments show that the improved cryptosystem can better resist chosen-plaintext attack while maintaining the same encryption performance as the original encryption scheme.

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References

  1. Barrera, J.F., Vargas, C., Tebaldi, M., et al.: Chosen-plaintext attack on a joint transform correlator encrypting system. Opt. Commun. 283(20), 3917–3921 (2010)

    Article  Google Scholar 

  2. Chai, X., Bi, J., Gan, Z., Liu, X., Zhang, Y., Chen, Y.: Color image compression and encryption scheme based on compressive sensing and double random encryption strategy. Signal Process. 176, 107684 (2020)

    Article  Google Scholar 

  3. Chen, G., Mao, Y., Chui, C.K.: A symmetric image encryption scheme based on 3d chaotic cat maps. Chaos Solitons Fractals 21(3), 749–761 (2004)

    Article  MATH  Google Scholar 

  4. Chen, J.X., Zhu, Z.L., Chong, F., et al.: An efficient image encryption scheme using gray code based permutation approach. Opt. Lasers Eng. 67(apr.), 191–204 (2015)

    Article  Google Scholar 

  5. Jx, Chen, Zhu Zl, Fu.C., et al.: An efficient image encryption scheme using lookup table-based confusion and diffusion. Nonlinear Dyn. 81(3), 1151–1166 (2015)

    Article  Google Scholar 

  6. Fridrich, J.: Symmetric ciphers based on two-dimensional chaotic maps. Int. J. Bifurc. chaos 8(06), 1259–1284 (1998)

    Article  MATH  Google Scholar 

  7. Hu, G., Xiao, D., Wang, Y., et al.: Cryptanalysis of a chaotic image cipher using latin square-based confusion and diffusion. Nonlinear Dyn. 88(2), 1305–1316 (2017)

    Article  MATH  Google Scholar 

  8. Li, C., Lin, D., Feng, B., et al.: Cryptanalysis of a chaotic image encryption algorithm based on information entropy. IEEE Access 6, 75834–75842 (2018)

    Article  Google Scholar 

  9. Li, M., Lu, D., Xiang, Y., et al.: Cryptanalysis and improvement in a chaotic image cipher using two-round permutation and diffusion. Nonlinear Dyn. 96(1), 31–47 (2019)

    Article  MATH  Google Scholar 

  10. Li, Z., Peng, C., Li, L., et al.: A novel plaintext-related image encryption scheme using hyper-chaotic system. Nonlinear Dyn. 94(2), 1319–1333 (2018)

    Article  Google Scholar 

  11. Liu, L., Zhang, Z., Chen, R.: Cryptanalysis and improvement in a plaintext-related image encryption scheme based on hyper chaos. IEEE Access 7, 126450–126463 (2019)

    Article  Google Scholar 

  12. Liu, Y., Zhang, L.Y., Wang, J., et al.: Chosen-plaintext attack of an image encryption scheme based on modified permutation-diffusion structure. Nonlinear Dyn. 84(4), 2241–2250 (2016)

    Article  MATH  Google Scholar 

  13. Liu, Y., Qin, Z., Liao, X., et al.: Cryptanalysis and enhancement of an image encryption scheme based on a 1-d coupled sine map. Nonlinear Dyn. 100(3), 2917–2931 (2020)

    Article  Google Scholar 

  14. Muhammad, Z.M.Z., Özkaynak, F.: Security problems of chaotic image encryption algorithms based on cryptanalysis driven design technique. IEEE Access 7, 99945–99953 (2019)

    Article  Google Scholar 

  15. Özkaynak, F.: Brief review on application of nonlinear dynamics in image encryption. Nonlinear Dyn. 92(2), 305–313 (2018)

    Article  Google Scholar 

  16. Ramadan, N., Ahmed, H.H., El-khamy, S.E., et al.: Permutation-substitution image encryption scheme based on a modified chaotic map in transform domain. J. Cent. South Univ. 24(9), 2049–2057 (2017)

    Article  Google Scholar 

  17. Vaish, A., Kumar, M.: Color image encryption using msvd, dwt and arnold transform in fractional Fourier domain. Optik 145, 273–283 (2017)

    Article  Google Scholar 

  18. Wang, X., Li, Y.: Chaotic image encryption algorithm based on hybrid multi-objective particle swarm optimization and dna sequence. Opt. Lasers Eng. 137, 106393 (2021)

    Article  Google Scholar 

  19. Xian, Y., Wang, X., Zhang, Y., et al.: A novel chaotic image encryption with fsv based global bit-level chaotic permutation. Multimed. Tools Appl., pp. 1–20 (2022)

  20. Ye, G., Pan, C., Huang, X., et al.: An efficient pixel-level chaotic image encryption algorithm. Nonlinear Dyn. 94(1), 745–756 (2018)

  21. Yosefnezhad Irani, B., Ayubi, P., Amani Jabalkandi, F., et al.: Digital image scrambling based on a new one-dimensional coupled sine map. Nonlinear Dyn. 97(4), 2693–2721 (2019)

    Article  MATH  Google Scholar 

  22. Zhang, W., Yu, H., Yl, Zhao, et al.: Image encryption based on three-dimensional bit matrix permutation. Signal Process 118, 36–50 (2016)

    Article  Google Scholar 

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

  24. Zhu, H., Zhao, C., Zhang, X., et al.: An image encryption scheme using generalized Arnold map and affine cipher. Optik 125(22), 6672–6677 (2014)

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Funding

The authors are supported by the Science and technology research project of Hebei higher education No. ZD2021011.

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Authors and Affiliations

  1. School of Cyber Security and Computer, Hebei University, Baoding, 071000, China

    Wanqing Wu & Qiao Wang

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  1. Wanqing Wu
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  2. Qiao Wang
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Correspondence to Qiao Wang.

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Wu, W., Wang, Q. Cryptanalysis and improvement of an image encryption algorithm based on chaotic and Latin square. Nonlinear Dyn 111, 3831–3850 (2023). https://doi.org/10.1007/s11071-022-07990-7

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