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    Error Correction Capability of Column-Weight-Three LDPC Codes Under the Gallager A Algorithm—Part II

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    Author
    Chilappagari, Shashi Kiran
    Nguyen, Dung Viet
    Vasic, Bane
    Marcellin, Michael W.
    Affiliation
    Univ Arizona, Dept Elect & Comp Engn
    Issue Date
    2010-05-18
    Keywords
    Error floor
    Gallager A algorithm
    girth
    low-density parity-check (LDPC) codes
    trapping sets
    
    Metadata
    Show full item record
    Publisher
    IEEE
    Citation
    S. 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.
    Journal
    IEEE Transactions on Information Theory
    Rights
    Copyright © 2010 IEEE.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    The 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.
    ISSN
    0018-9448
    DOI
    10.1109/tit.2010.2046203
    Version
    Final accepted manuscript
    ae974a485f413a2113503eed53cd6c53
    10.1109/tit.2010.2046203
    Scopus Count
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    UA Faculty Publications

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