Method and apparatus for generating parity information for...

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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10738203

ABSTRACT:
A method of generating error correction parity information using a parity check matrix having m rows and n columns, wherein m is a number of parity bits and n is a number of codeword bits, wherein a same fixed number of elements in each of the rows has a value of 1 and all remaining elements in each of the rows has a value of 0, and wherein a same fixed number of elements in each of the columns has a value of 1 and all remaining elements in each of the columns has a value of 0, the error correction method including generating a lower triangular matrix in 1st through k-th rows and (n−m+1)-th through (n−m+k)-th columns of the parity check matrix by performing row and column permutations on the parity check matrix, wherein k<m; and obtaining m parity bits using the parity check matrix including the lower triangular matrix and (n−m) message bits.

REFERENCES:
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patent: 6895547 (2005-05-01), Eleftheriou et al.
patent: 2002/0101915 (2002-08-01), Zhang et al.
patent: 2004/0054960 (2004-03-01), Eroz et al.
patent: 2004/0057575 (2004-03-01), Zhang et al.
patent: 2004/0255222 (2004-12-01), Kim et al.
David J.C. MacKay; Good Error-Correcting Codes Based on Very Sparse Matrices; IEEE Transactions on Information Theory; vol. 45; No. 2; Mar. 1999; pp. 399-419.
Thomas J. Richardson & Rüdiger L. Urbanke; Efficient Encoding of Low-Density Parity-Check Codes; IEEE Transactions on Information Theory; Vo. 47; No. 2; Feb. 2001; pp. 638-656.

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