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    Area of Science:

    • Optics and Information Security
    • Applied Physics
    • Data Encryption

    Background:

    • Traditional information encryption operates in real space, offering limited security.
    • Phase space information encryption enhances security but increases data transmission and storage costs.
    • Decryption using incomplete ciphertext presents a challenge for phase space encryption.

    Purpose of the Study:

    • To investigate decryption using incomplete ciphertext in phase space information encryption.
    • To reduce the data transmission and storage costs associated with phase space encryption.
    • To demonstrate the effectiveness of compressive sensing for recovering plaintext from limited ciphertext.

    Main Methods:

    • Utilizing compressive sensing techniques to recover plaintext signals.
    • Analyzing the performance limits set by traditional analytic solutions.
    • Conducting optical experiments to validate the recovery of plaintext in phase space.

    Main Results:

    • Compressive sensing allows faithful plaintext recovery using only a small amount of ciphertext.
    • Significant reduction in data transmission and storage requirements is achievable.
    • Demonstrated effective plaintext recovery in phase space through optical experiments.

    Conclusions:

    • Compressive sensing effectively addresses the data cost issue in phase space information encryption.
    • This approach enables more efficient use of system bandwidth through multiple information encryption.
    • Phase space encryption with compressive sensing offers a practical and secure data handling solution.