中国物理B ›› 2022, Vol. 31 ›› Issue (9): 94202-094202.doi: 10.1088/1674-1056/ac6331

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Deep-learning-based cryptanalysis of two types of nonlinear optical cryptosystems

Xiao-Gang Wang(汪小刚)1,2,† and Hao-Yu Wei(魏浩宇)2   

  1. 1 Department of Applied Physics, Zhejiang University of Science and Technology, Hangzhou 310023, China;
    2 Department of Optical Engineering, Zhejiang A&F University, Hangzhou 311300, China
  • 收稿日期:2021-12-27 修回日期:2022-03-16 接受日期:2022-04-01 出版日期:2022-08-19 发布日期:2022-09-01
  • 通讯作者: Xiao-Gang Wang E-mail:wxg1201@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61975185 and 61575178), the Natural Science Foundation of Zhejiang Province, China (Grant No. LY19F030004), and the Scientific Research and Development Fund of Zhejiang University of Science and Technology, China (Grant No. F701108L03).

Deep-learning-based cryptanalysis of two types of nonlinear optical cryptosystems

Xiao-Gang Wang(汪小刚)1,2,† and Hao-Yu Wei(魏浩宇)2   

  1. 1 Department of Applied Physics, Zhejiang University of Science and Technology, Hangzhou 310023, China;
    2 Department of Optical Engineering, Zhejiang A&F University, Hangzhou 311300, China
  • Received:2021-12-27 Revised:2022-03-16 Accepted:2022-04-01 Online:2022-08-19 Published:2022-09-01
  • Contact: Xiao-Gang Wang E-mail:wxg1201@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61975185 and 61575178), the Natural Science Foundation of Zhejiang Province, China (Grant No. LY19F030004), and the Scientific Research and Development Fund of Zhejiang University of Science and Technology, China (Grant No. F701108L03).

摘要: The two types of nonlinear optical cryptosystems (NOCs) that are respectively based on amplitude-phase retrieval algorithm (APRA) and phase retrieval algorithm (PRA) have attracted a lot of attention due to their unique mechanism of encryption process and remarkable ability to resist common attacks. In this paper, the securities of the two types of NOCs are evaluated by using a deep-learning (DL) method, where an end-to-end densely connected convolutional network (DenseNet) model for cryptanalysis is developed. The proposed DL-based method is able to retrieve unknown plaintexts from the given ciphertexts by using the trained DenseNet model without prior knowledge of any public or private key. The results of numerical experiments with the DenseNet model clearly demonstrate the validity and good performance of the proposed the DL-based attack on NOCs.

关键词: optical encryption, nonlinear optical cryptosystem, deep learning, phase retrieval algorithm

Abstract: The two types of nonlinear optical cryptosystems (NOCs) that are respectively based on amplitude-phase retrieval algorithm (APRA) and phase retrieval algorithm (PRA) have attracted a lot of attention due to their unique mechanism of encryption process and remarkable ability to resist common attacks. In this paper, the securities of the two types of NOCs are evaluated by using a deep-learning (DL) method, where an end-to-end densely connected convolutional network (DenseNet) model for cryptanalysis is developed. The proposed DL-based method is able to retrieve unknown plaintexts from the given ciphertexts by using the trained DenseNet model without prior knowledge of any public or private key. The results of numerical experiments with the DenseNet model clearly demonstrate the validity and good performance of the proposed the DL-based attack on NOCs.

Key words: optical encryption, nonlinear optical cryptosystem, deep learning, phase retrieval algorithm

中图分类号:  (Imaging and optical processing)

  • 42.30.-d
42.30.Kq (Fourier optics) 42.30.Rx (Phase retrieval) 42.30.Va (Image forming and processing)