Decoding method and decoding apparatus

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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08074156

ABSTRACT:
Disclosed herein is a decoding method of performing maximum a posteriori probability (MAP) decoding of selecting one decoded word from one or more decoded word candidates obtained by subjecting a linear code to iterative decoding by comparison of distances between a reception word and each decoded word candidate. A decoded word candidate in which a known value in a part of a transmission word has been changed to another value is excluded from the one or more decoded word candidates.

REFERENCES:
patent: 6634007 (2003-10-01), Koetter et al.
patent: 6944206 (2005-09-01), Dent
Jiang et al., Iterative soft input soft output deocding of Reed Solomon codes by adapting the parity check matrix, Aug. 2006, IEEE, p. 3746-3756.
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V. Guruswami et al., Improve Decoding of Reed-Solomon and Algebraic-Geometry Codes, IEEE Transactions on information Theory, vol. 45, pp. 1757-1767, 1999.
R. Koetter et al., Algebraic Soft-Decision Decoding of Reed-Solomon Codes, IEEE Transactions on Information Theory, 2001.
R. Koetter et al., Efficient Interpolation and Factorization in Algebraic Soft-Decision Decoding of Reed-Solomon Codes, Proceedings of ISIT 2003.
D. MacKay et al., Error-Correcting Codes Based on Very Sparse Matrices, IEEE Transactions on Information Theory, 1999.
R. Berlekamp et al., On the Inherent Intractability of Certain Coding Problems, IEEE Transactions on Information Theory, vol. 24, pp. 384-386, May 1978.
Jin Jiang et al., Soft Decision Decoding of RS Codes Using Adaptive Parity Check Matrices, Proceeding of IEEE International Symposium on Information Theory 2004.

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