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    This study shows deep learning can break optical encryption. By incorporating physical knowledge, the method improves generalization and overcomes image size limits in optical cryptanalysis.

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    Area of Science:

    • Optics and Information Security
    • Applied Deep Learning
    • Cryptography

    Background:

    • Deep learning (DL) methods in optical cryptanalysis often lack physical priors, limiting their practical application and generalization.
    • Existing methods struggle with generalization and are constrained by image size limitations.

    Purpose of the Study:

    • To demonstrate that double-random phase encoding (DRPE) optical cryptosystems are vulnerable to a preprocessing ciphertext-only attack (pCOA) using DL strategies.
    • To enhance the generalization capabilities of DL-based optical cryptanalysis by integrating physical knowledge.
    • To overcome the image size limitations of traditional ciphertext-only attack (COA) methods.

    Main Methods:

    • A preprocessing ciphertext-only attack (pCOA) based on DL strategies is proposed for DRPE optical cryptosystems.
    • A physical knowledge deep learning method is employed, incorporating physical priors to learn statistical invariants from preprocessed ciphertext.
    • The method utilizes one random phase mask (RPM) for initial training and scales with an increasing number of training RPMs.

    Main Results:

    • High prediction fidelity for complex targets is achieved, even with a single RPM for training.
    • The generalization ability of the DL model is significantly improved by increasing the number of training RPMs.
    • The proposed method successfully breaks the image size limitations inherent in traditional COA methods.

    Conclusions:

    • The developed learning-based pCOA method is feasible and effective for optical cryptanalysis.
    • Integrating physical priors into DL models substantially enhances their generalization capabilities in optical security applications.
    • This approach offers a more robust and versatile solution for breaking DRPE-based optical encryption.