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Multiple-error-correcting codes for improving the performance of optical matrix-vector processors.

M A Neifeld

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    PubMed
    Summary
    This summary is machine-generated.

    Reed-Solomon error-correcting codes significantly boost optical matrix-vector processor performance. Using block-length codes (n=127) with an optimal rate of 0.75 doubles achievable optical matrix dimensions for high-accuracy systems.

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    Area of Science:

    • Computer Science
    • Electrical Engineering
    • Information Theory

    Background:

    • Optical matrix-vector processors offer high-speed computation but are sensitive to errors.
    • Error correction is crucial for achieving high reliability in optical computing systems.

    Purpose of the Study:

    • To investigate the application of Reed-Solomon codes for error correction in optical matrix-vector processors.
    • To determine the optimal parameters for these codes to enhance processor performance and reliability.

    Main Methods:

    • Analysis of Reed-Solomon (RS) codes, specifically focusing on multiple-error-correcting capabilities.
    • Simulation and theoretical evaluation of RS code performance with varying code rates and block lengths (n=127) in an optical matrix-vector processing context.
    • Determination of optimal code rates and block lengths for a target bit-error rate (BER) of 10^-15.

    Main Results:

    • An optimal Reed-Solomon code rate of 0.75 was identified.
    • Block-length codes with n=127 were shown to double the achievable optical matrix dimension for a BER of 10^-15.
    • Optimal codes were determined for various matrix dimensions, demonstrating scalability.
    • Single codeword implementations were found to be more efficient than multiple codeword approaches.

    Conclusions:

    • Reed-Solomon codes are effective for enhancing the performance and reliability of optical matrix-vector processors.
    • Specific code parameters, including an optimal rate of 0.75 and block length n=127, yield significant improvements in achievable matrix dimensions.
    • Single codeword designs offer superior efficiency for error correction in these systems.