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Multiple color image encryption and authentication based on phase retrieval and partial decryption in quaternion gyrator domain

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Abstract

In this paper, a multiple color image encryption and authentication scheme by using phase retrieval in quaternion gyrator domain and partial decryption is introduced. The quaternion representation is firstly employed to combine three color channels into a single-channel architecture. Then each color image is respectively encoded into a phase-only function according to quaternion gyrator transform based double phase encoding through phase retrieval technique. Subsequently, all phase-only functions are modulated to obtain the final ciphertext. To remain the content of secret images under cover, only a small part of the encrypted data that is selected by multiplying the random binary amplitude mask is preserved for decryption, where nonlinear quaternion correlation is developed to further perform authentication. Since the proposed encryption algorithm is asymmetric, such interest can significantly enhance security of the cryptosystem. The numerical simulations have demonstrated the feasibility and validity of the proposed scheme as well as its better performance compared with other schemes.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (61601311, 51575140), Project of Beijing Excellent Talents (2016000020124G088), Beijing Municipal Education Research Plan Project (SQKM201810028018), Support Project of High-level Teachers in Beijing Municipal Universities in the Period of 13th Five-year Plan (CIT&TCD20170322) and Natural Science Foundation of Beijing (4162017). The authors would like to appreciate the anonymous reviewers for their constructive comments and suggestions, which have greatly helped us in improving the quality of the paper.

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Authors and Affiliations

  1. College of Information Engineering, Capital Normal University, Beijing, 100048, China

    Zhuhong Shao, Yuanyuan Shang, Hui Ding, Xiaoxu Zhao & Xiaoyan Fu

  2. Beijing Advanced Innovation Center for Imaging Technology, Capital Normal University, Beijing, 100048, China

    Zhuhong Shao & Yuanyuan Shang

  3. Beijing Engineering Research Center of High Reliable Embedded System, Capital Normal University, Beijing, 100048, China

    Yuanyuan Shang

  4. School of Electrical Engineering, Beijing Jiaotong University, Beijing, 100044, China

    Qingbin Tong

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  1. Zhuhong Shao
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  2. Yuanyuan Shang
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  3. Qingbin Tong
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  4. Hui Ding
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  5. Xiaoxu Zhao
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  6. Xiaoyan Fu
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Correspondence to Yuanyuan Shang.

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Shao, Z., Shang, Y., Tong, Q. et al. Multiple color image encryption and authentication based on phase retrieval and partial decryption in quaternion gyrator domain. Multimed Tools Appl 77, 25821–25840 (2018). https://doi.org/10.1007/s11042-018-5818-7

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  • DOI: https://doi.org/10.1007/s11042-018-5818-7

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