Decoding method and decoder for Reed Solomon code

Error detection/correction and fault detection/recovery – Pulse or data error handling – Digital data error correction

Reexamination Certificate

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C714S756000

Reexamination Certificate

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07047481

ABSTRACT:
A refinement of the Inverse-Free Berlekamp-Massey algorithm in which calculation of the discrepancy (δ) is performed using coefficients having a common index (j), thereby reducing the number of multipliers required. The errata magnitudes can also be calculated using coefficients having a common index (j), also reducing the number of multipliers required. Common multipliers can be used for both calculations, thereby further reducing the number of multipliers required.

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“On decoding BCH codes” Forney, Jr., IEEE Trans. Inform. Theory, vol. IT-11, pp. 549-557, Oct. 1965.
“On decoding of both errors and erasures of a Reed-Solomon code using an inverse-free Berlekamp-Massey algorithm” Jyh-Horng Jeng and Trieu-Kien Troung, IEEE Trans. Commun., vol. 47, pp. 1488-1494, Oct. 1999.

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