Error Correction Capability of Column-Weight-Three LDPC Codes Under the Gallager A Algorithm—Part II
AffiliationUniv Arizona, Dept Elect & Comp Engn
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CitationS. K. Chilappagari, D. V. Nguyen, B. Vasic and M. W. Marcellin, "Error Correction Capability of Column-Weight-Three LDPC Codes Under the Gallager A Algorithm—Part II," in IEEE Transactions on Information Theory, vol. 56, no. 6, pp. 2626-2639, June 2010, doi: 10.1109/TIT.2010.2046203.
RightsCopyright © 2010 IEEE.
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AbstractThe relation between the girth and the error correction capability of column-weight-three LDPC codes under the Gallager A algorithm is investigated. It is shown that a column-weight-three LDPC code with Tanner graph of girth g ¿ 10 can correct all error patterns with up to (g /2-1) errors in at most g /2 iterations of the Gallager A algorithm. For codes with Tanner graphs of girth g ¿ 8, it is shown that girth alone cannot guarantee correction of all error patterns with up to (g /2-1) errors under the Gallager A algorithm. Sufficient conditions to correct (g /2-1) errors are then established by studying trapping sets.
VersionFinal accepted manuscript