• DocumentCode
    43983
  • Title

    Several Explicit Constructions for (3,L) QC-LDPC Codes with Girth at Least Eight

  • Author

    Guohua Zhang ; Rong Sun ; Xinmei Wang

  • Author_Institution
    State Key Lab. of Integrated Service Networks, Xidian Univ., Xi´an, China
  • Volume
    17
  • Issue
    9
  • fYear
    2013
  • fDate
    Sep-13
  • Firstpage
    1822
  • Lastpage
    1825
  • Abstract
    Some explicit constructions for exponent matrices which correspond to Tanner graphs with girth at least eight are proposed. From these results, for any row weight of L>3, (3,L) quasi-cyclic LDPC codes with girth at least eight are constructed for any circulant permutation matrix (CPM) size P>L(L+mod(L,2))/2.
  • Keywords
    cyclic codes; graph theory; matrix algebra; parity check codes; (3,L) QC-LDPC codes; CPM size; Tanner graphs; circulant permutation matrix; explicit constructions; exponent matrices; girth at least eight; quasicyclic codes; Arrays; Computers; Equations; Parity check codes; Phase change materials; Sparse matrices; Sun; Circulant permutation matrix (CPM); girth; low-density parity-check (LDPC) codes; quasi-cyclic (QC);
  • fLanguage
    English
  • Journal_Title
    Communications Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1089-7798
  • Type

    jour

  • DOI
    10.1109/LCOMM.2013.070913.130966
  • Filename
    6560010