Decoder architecture for reed solomon codes

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

Reexamination Certificate

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Reexamination Certificate

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07117425

ABSTRACT:
A Reed Solomon decoder architecture that uses a modified version of the error-evaluator polynomial form having a significantly reduced area of the dominant PDU unit, without loss in iteration time, in slice circuitry, which rotates terms to share a common multiplier and other circuitry. In addition, a B polynomial is stored, and associated overflow flags are implemented, to allow its storage to be minimized using a dual-multiplier arrangement. The decoder for error correcting codes comprises a syndrome calculation circuit, and a polynomial determining unit comprising slices, and a single multiplier in each of the slices, wherein each of the slices is employed a plurality of times in successive clock cycles. A correction circuit comprises a first multiplier employed when a scratch polynomial has overflowed, and a second multiplier employed when not overflowed.

REFERENCES:
patent: 6119262 (2000-09-01), Chang et al.
Yu-xin et al., Design and implementation of high speed Reed Solomon decoders, Jun. 2002, IEEE, p. 146-149.
Choomchuary et al., Tine domain algorithm and architectures for Reed Solomon decoding, Jun. 1993, IEEE Proceedings-1, vol. 140, No. 3, p. 189-196.
Arambepola et al., VLSI array architecture for Reed Solomon decoding, Nov. 1991, IEEE, p. 2963-2966.
Elwyn Belekamp, Algebraic Coding Theory, 1968.
J.L. Massey, Shift Register Synthesis and BCH Coding, IEEE Transactions on Information Theory, vol. IT-15, No. 1, 1969, pp. 122-127.
Toshio Horiguchi, High Speed Coding of BCH Codes Using a New Error—Evaluation Algorithm, Electronics and Communications in Japan, Part 3, vol. 72, No. 12, 1989.
Weishi Feng, On Decoding Reed-Solomon Codes up to and Beyond the Packing Radii, P.H.D. Thesis, University of Illinois at Urbana-Champaign, 1999.

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