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A secure image encryption scheme based on chaotic maps and affine transformation

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Abstract

Due to the interesting nonlinear dynamic properties of chaotic maps, recently chaos-based encryption algorithms have gained much attention in cryptographic communities. However, many encryption schemes do not fulfil the minimum key space requirement, which is an essential concern in many secure data applications. In this paper, an efficient chaos-based image encryption scheme with higher key space is presented. Even with a single round of encryption, a significantly larger key space can be achieved. The proposed scheme removes correlation among image pixels via random chaotic sequences, simply by XOR and addition operations. In order to resist against numerous attacks, we apply the affine transformation to get the final ciphertext image. The security of the proposed scheme is proved through histogram, contrast, PSNR, entropy, correlation, key space, key sensitivity and differential attack analysis. Many significant properties of chaotic maps, sensitivity to initial condition and control parameters, structure and attack complexity, make the anticipated scheme very reliable, practical and robust in various secure communication applications.

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Acknowledgments

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2014R1A1A2054174). This research was also supported by the MSIP (Ministry of Science, ICT and Future Planning), Korea, under the Global IT Talent support program (NIPA-2014-H0905-14-1004) supervised by the NIPA (National IT Industry Promotion Agency).

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Authors and Affiliations

  1. Department of Electronics and Computer Engineering, Graduate School, Hongik University, Sejong, South Korea

    Jawad Ahmad

  2. Department of Computer and Information Communication Engineering, Hongik University, Sejong, South Korea

    Seong Oun Hwang

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  1. Jawad Ahmad
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  2. Seong Oun Hwang
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Correspondence to Seong Oun Hwang.

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Ahmad, J., Hwang, S.O. A secure image encryption scheme based on chaotic maps and affine transformation. Multimed Tools Appl 75, 13951–13976 (2016). https://doi.org/10.1007/s11042-015-2973-y

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  • DOI: https://doi.org/10.1007/s11042-015-2973-y

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