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Updated: Feb 20, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
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Key-length analysis of double random phase encoding.

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    Double random phase encoding (DRPE) offers secure optical encryption. This study numerically analyzes DRPE key length, estimating it via normal distribution probability to assess brute-force attack security.

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    Quasi-light Storage for Optical Data Packets
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    Area of Science:

    • Optical physics
    • Cryptography
    • Information security

    Background:

    • Double Random Phase Encoding (DRPE) is a recognized optical symmetric-key encryption technique.
    • DRPE's inherent redundancy complicates key length determination, distinguishing it from digital methods.
    • Assessing the security of optical encryption methods is crucial for data protection.

    Purpose of the Study:

    • To numerically analyze the key length of Double Random Phase Encoding (DRPE).
    • To evaluate the security of DRPE against brute-force attacks.
    • To provide a quantitative measure of DRPE's cryptographic strength.

    Main Methods:

    • Key-space analysis was performed on the DRPE method.
    • The key length was estimated using the inverse cumulative probability of a normal distribution.
    • Statistical sampling of DRPE outputs was used for analysis.

    Main Results:

    • Numerical analysis provided an estimation of the DRPE key length.
    • The study quantifies the security margin against brute-force cryptanalysis.
    • Results indicate the practical implications for DRPE's cryptographic robustness.

    Conclusions:

    • The key length of DRPE can be numerically estimated, offering insights into its security.
    • DRPE demonstrates a degree of security against brute-force attacks based on the analyzed key space.
    • Further research can refine these estimations for advanced optical encryption schemes.