Error correction code generation method and apparatus

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

Reexamination Certificate

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C714S752000

Reexamination Certificate

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10896217

ABSTRACT:
A method and apparatus for generating an error correction code used in communicating over a channel, includes generating a set of candidate circulant blocks corresponding to a parity check matrix and a Hamming code wherein the Hamming code is initially unable to detect a predetermined error pattern without ambiguity due to one or more redundancies and eliminating columns of the parity check matrix and related redundancies in the detection of a predetermined error pattern as used by the resulting Hamming code.

REFERENCES:
patent: RE23601 (1952-12-01), Hamming et al.
patent: 7103829 (2006-09-01), Van Dijk et al.
Wojciechowski, J et al.; Spectra of graphs with circulant blocks and their applications; Circuits and Systems, 1994. ISCAS '94., 1994 IEEE International Symposium on Publication Date: May 30-Jun. 2, 1994 vol. 5, On pp. 161-164 vol. 5.
Tanner, R. Michael; The Tetrahedral Golay Code; Forney Festschrift (anticipated) , Cambridge,Mass., Mar. 2000 URL: www.cse.ucsc.edu/˜tanner/tetrahedralGolay.pdf.
Tanner, R. Michael; On Quasi-Cyclic Repeat-Accumulate Codes; URL: http://www.ldpc-codes.com/papers/QCRAAllerton.pdf.

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