• DocumentCode
    1051497
  • Title

    On the Dimensions of Certain LDPC Codes Based on q -Regular Bipartite Graphs

  • Author

    Sin, Peter ; Xiang, Qing

  • Author_Institution
    Dept. of Math., Florida Univ., Gainesville, FL
  • Volume
    52
  • Issue
    8
  • fYear
    2006
  • Firstpage
    3735
  • Lastpage
    3737
  • Abstract
    An explicit construction of a family of binary low-density parity check (LDPC) codes called LU(3,q), where q is a power of a prime, was recently given. A conjecture was made for the dimensions of these codes when q is odd. The conjecture is proved in this note. The proof involves the geometry of a four-dimensional (4-D) symplectic vector space and the action of the symplectic group and its subgroups
  • Keywords
    binary codes; graph theory; parity check codes; binary LDPC codes; four-dimensional symplectic vector space; low-density parity check codes; q-regular bipartite graph; Bipartite graph; Geometry; Mathematics; Parity check codes; Silicon compounds; Two dimensional displays; Vectors; Generalized quadrangle; incidence matrix; low-density parity check (LDPC) code; symplectic grou;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2006.878231
  • Filename
    1661850
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1051497