Decoding Reed-Solomon codes and related codes represented by...

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

Reexamination Certificate

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C714S756000, C714S784000

Reexamination Certificate

active

10728338

ABSTRACT:
A method decodes a soft-input cost function for an error-correcting code. First, the code is selected and its FSTFG representation is constructed. The representation is simplified, and an encoding method consistent with the representation is selected. A set of message-update and belief-update rules are selected. Messages are initialized according to a soft-input cost function. An iterative decoding cycle is then begun. The first step updates the messages according to the pre-selected message-update rules. The second step determines a trial code word from the messages, the pre-selected message-update rules, and the encoding method. The third step replaces a tentative output code word of the decoding method with the trial code word if the trial code word has lower cost. The decoding cycle terminates if a termination condition is true, and outputs the tentative code word.

REFERENCES:
patent: 6236762 (2001-05-01), Chui et al.
patent: 6771197 (2004-08-01), Yedidia et al.
patent: 7000174 (2006-02-01), Mantha et al.
patent: 2003/0065989 (2003-04-01), Yedida et al.
patent: 2003/0074626 (2003-04-01), Coker et al.
patent: 2003/0079171 (2003-04-01), Coe

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