Abstract
In cryptography, chaotic systems are commonly used for image encryption due to the complex properties of chaos such as sensitivity to initial conditions, unpredictability, and ergodicity. An image encryption method using one-dimensional chaotic maps and Josephus permutation sequence is depicted in this paper. The keystreams required for the encryption process are generated from one-dimensional chaotic maps. Double scrambling operation is proposed in the pixel permutation phase to enhance security. Josephus permutation sequence is used in the first level scrambling. For the second level of scrambling, a novel method is implemented using the keystream generated from a chaotic tent map. Also, the keystream generated from the logistic map is used in the substitution phase. Experimental results and security analysis shows that the proposed encryption scheme can resist various attacks and ensures high security.
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References
Lorenz, E.N., Haman, K.: The essence of chaos. Pure Appl. Geophys. 147(3), 598–599 (1996)
Wu, X., Zhu, B., Hu, Y., Ran, Y.: A novel color image encryption scheme using rectangular transform-enhanced chaotic tent maps. IEEE Access 5, 6429–6436 (2017)
Wang, X., Wang, S., Wei, N., Zhang, Y.: A novel chaotic image encryption scheme based on hash function and cyclic shift. IETE Tech. Rev. 36(1), 39–48 (2019)
Shahna, K.U., Mohamed, A.: A novel image encryption scheme using both pixel level and bit level permutation with chaotic map. Appl. Soft Comput. 90, 106162 (2020)
Kar, M., Kumar, A., Nandi, D., Mandal, M.K.: Image encryption using DNA coding and hyper chaotic system. IETE Tech. Rev. 37, 1–12 (2018)
Fu, X.Q., Liu, B.C., Xie, Y.Y., Li, W., Liu, Y.: Image encryption-then-transmission using DNA encryption algorithm and the double chaos. IEEE Photon. J. 10(3), 1–15 (2018)
Ge, R., Yang, G., Wu, J., Chen, Y., Coatrieux, G., Luo, L.: A novel chaos-based symmetric image encryption using bit-pair level process. IEEE Access 7, 99470–99480 (2019)
Xu, L., Li, Z., Li, J., Hua, W.: A novel bit-level image encryption algorithm based on chaotic maps. Opt. Lasers Eng. 78, 17–25 (2016)
Ye, G., Huang, X.: An image encryption algorithm based on autoblocking and electrocardiography. IEEE Multimedia 23(2), 64–71 (2016)
Shahna, K., Mohamed, A.: An image encryption technique using logistic map and Z-order curve. In: 2018 International Conference on Emerging Trends and Innovations in Engineering and Technological Research (ICETIETR), pp. 1–6. IEEE (2018)
Zhang, W., Wong, K.W., Yu, H., Zhu, Z.L.: An image encryption scheme using reverse 2-dimensional chaotic map and dependent diffusion. Commun. Nonlinear Sci. Numer. Simul. 18(8), 2066–2080 (2013)
Hua, Z., Zhou, Y.: Image encryption using 2D Logistic-adjusted-Sine map. Inf. Sci. 339, 237–253 (2016)
Niyat, A.Y., Moattar, M.H., Torshiz, M.N.: Color image encryption based on hybrid hyper-chaotic system and cellular automata. Opt. Lasers Eng. 90, 225–237 (2017)
Norouzi, B., Mirzakuchaki, S.: A fast color image encryption algorithm based on hyper-chaotic systems. Nonlinear Dyn. 78(2), 995–1015 (2014)
Zhu, C.: A novel image encryption scheme based on improved hyperchaotic sequences. Opt. Commun. 285(1), 29–37 (2012)
Desheng, X., Yueshan, X.: Digital image scrambling based on Josephus traversing. Comput. Eng. Appl. 10, 44–46 (2005)
Ye, G., Huang, X., Zhu, C.: December. Image encryption algorithm of double scrambling based on ASCII code of matrix element. In: 2007 International Conference on Computational Intelligence and Security (CIS 2007), pp. 843–847. IEEE (2007)
Yang, G., Jin, H., Bai, N.: Image encryption using the chaotic Josephus matrix. Math. Probl. Eng. 2014, 632060 (2014)
Wang, X., Zhu, X., Zhang, Y.: An image encryption algorithm based on Josephus traversing and mixed chaotic map. IEEE Access 6, 23733–23746 (2018)
Furht, B., Kirovski, D. (eds.): Multimedia Security Handbook. CRC Press, Boca Raton (2004)
Shahna, K., Mohamed, A.: An image encryption method using Henon map and Josephus traversal. In: 2018 World Congress on Information and Communication Technologies (WICT). Advances in Intelligent Systems and Computing, Springer (2018)
Bakhshandeh, A., Eslami, Z.: An authenticated image encryption scheme based on chaotic maps and memory cellular automata. Opt. Lasers Eng. 51(6), 665–673 (2013)
Guo, Y., Shao, L.P., Yang, L.: Bit-level image encryption algorithm based on Josephus and Henon chaotic map. Appl. Res. Comput. 32(4), 1131–1137 (2015)
Wang, S., Wang, C., Xu, C.: An image encryption algorithm based on a hidden attractor chaos system and the Knuth-Durstenfeld algorithm. Opt. Lasers Eng. 128, 105995 (2020)
Wang, M., Wang, X., Zhang, Y., Gao, Z.: A novel chaotic encryption scheme based on image segmentation and multiple diffusion models. Opt. Laser Technol. 108, 558–573 (2018)
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Authors acknowledge the support from DST-PURSE (Phase - II), Government of India.
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Shahna, K.U., Mohamed, A. (2021). A Novel Image Encryption Technique Using Multiple One Dimensional Chaotic Map. In: Abraham, A., et al. Proceedings of the 12th International Conference on Soft Computing and Pattern Recognition (SoCPaR 2020). SoCPaR 2020. Advances in Intelligent Systems and Computing, vol 1383. Springer, Cham. https://doi.org/10.1007/978-3-030-73689-7_84
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DOI: https://doi.org/10.1007/978-3-030-73689-7_84
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