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A compression sensing and noise-tolerant image encryption scheme based on chaotic maps and orthogonal matrices

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Abstract

With the evolution of technologies, the size of an image data has been significantly increased. However, traditional image encryption schemes cannot handle the emerging problems in big data such as noise toleration and compression. In order to meet today’s challenges, we propose a new image encryption scheme based on chaotic maps and orthogonal matrices. The main core of the proposed scheme is based on the interesting properties of an orthogonal matrix. To obtain a random orthogonal matrix via the Gram Schmidt algorithm, a well-known nonlinear chaotic map is used in the proposed scheme to diffuse pixels values of a plaintext image. In the process of block-wise random permutation, the logistic map is employed followed by the diffusion process. The experimental results and security analyses such as key space, differential and statistical attacks show that the proposed scheme is secure enough and robust against channel noise and JPEG compression. In addition to complete encryption for higher security, it also supports partial encryption for faster processing as well.

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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, Science and Technology (2012002139) and funded by the Ministry of Education (2014054174). 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 Electrical Engineering, HITEC University, Taxila, Pakistan

    Jawad Ahmad

  2. Department of Computer Engineering, National University of Sciences and Technology, Islamabad, Pakistan

    Muazzam A. Khan

  3. Department of Computer and Information Communication Engineering, Hongik University, Seoul, South Korea

    Seong Oun Hwang

  4. Department of Electrical Engineering, HITEC University, Taxila, Pakistan

    Jan Sher Khan

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  1. Jawad Ahmad
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  2. Muazzam A. Khan
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  3. Seong Oun Hwang
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  4. Jan Sher Khan
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Correspondence to Jawad Ahmad.

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Ahmad, J., Khan, M.A., Hwang, S.O. et al. A compression sensing and noise-tolerant image encryption scheme based on chaotic maps and orthogonal matrices. Neural Comput & Applic 28 (Suppl 1), 953–967 (2017). https://doi.org/10.1007/s00521-016-2405-6

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  • DOI: https://doi.org/10.1007/s00521-016-2405-6

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