• DocumentCode
    3356554
  • Title

    Weight distribution for non-binary cluster LDPC code ensemble

  • Author

    Nozaki, Takayuki ; Maehara, M. ; Kasai, Keisuke ; Sakaniwa, Kohichi

  • Author_Institution
    Kanagawa Univ., Yokohama, Japan
  • fYear
    2013
  • fDate
    7-12 July 2013
  • Firstpage
    2830
  • Lastpage
    2834
  • Abstract
    In this paper, we derive the average weight distributions for the irregular non-binary cluster low-density parity-check (LDPC) code ensembles. Moreover, we give the exponential growth rate of the average weight distribution in the limit of large code length. We show that there exist (2, dc)-regular non-binary cluster LDPC code ensembles whose normalized typical minimum distances are strictly positive.
  • Keywords
    parity check codes; low-density parity-check code; nonbinary cluster LDPC code; weight distribution; Bipartite graph; Equations; Lead; Maximum likelihood decoding; Parity check codes; Sparse matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
  • Conference_Location
    Istanbul
  • ISSN
    2157-8095
  • Type

    conf

  • DOI
    10.1109/ISIT.2013.6620742
  • Filename
    6620742