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A double random phase encoding-based asymmetric cryptosystem using QZ modulation

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Abstract

In the existing cryptosystems such as double random phase encoding (DRPE)-based, the input image is usually modulated with the random phase mask (RPM) by multiplication. Based on the existing DRPE cryptosystems, in this paper, we propose a novel asymmetric cryptosystem based on the QZ modulation. We introduce the QZ algorithm to modulate the plain image and the random phase mask for the first time. In our cryptosystem, we take the input image and RPM as two inputs of the QZ algorithm. The outputs of the QZ algorithm include four parts: two upper quasitriangular matrices and two unitary matrices. Then the upper quasitriangular matrice corresponding to the plain image is encoded in the optical transform domain to obtain the cipher image. Meanwhile, the two unitary matrices are regarded as private keys only for decryption. Therefore, our QZ-based cryptosystem is asymmetric. Furthermore, the two RPMs are not required in the whole decryption process. The numerical results have shown the feasibility, security, and superiority of our cryptosystem. The proposed QZ-based modulation method can be applied to any other optical cryptosystem, and the encryption for color normal or medical images.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (NNSFC) (Grant no. 11972106, 11772081).

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Authors and Affiliations

  1. School of Electrical and Information Engineering, Tianjin University, Tianjin, 300072, China

    Yuxin Shen & Chen Tang

  2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    Zhenkun Lei

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  1. Yuxin Shen
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  2. Chen Tang
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  3. Zhenkun Lei
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Correspondence to Chen Tang.

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Shen, Y., Tang, C. & Lei, Z. A double random phase encoding-based asymmetric cryptosystem using QZ modulation. J Opt 52, 189–196 (2023). https://doi.org/10.1007/s12596-022-00883-3

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