• DocumentCode
    749240
  • Title

    Generalization of Tanner´s minimum distance bounds for LDPC codes

  • Author

    Shin, Min-Ho ; Kim, Joon-Sung ; Song, Hong-Yeop

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea
  • Volume
    9
  • Issue
    3
  • fYear
    2005
  • fDate
    3/1/2005 12:00:00 AM
  • Firstpage
    240
  • Lastpage
    242
  • Abstract
    Tanner derived minimum distance bounds of regular codes in terms of the eigenvalues of the adjacency matrix by using some graphical analysis on the associated graph of the code. In this letter, we generalize Tanner´s results by deriving a bit-oriented bound and a parity-oriented bound on the minimum distances of both regular and block-wise irregular LDPC codes.
  • Keywords
    block codes; eigenvalues and eigenfunctions; error correction codes; graph theory; matrix algebra; parity check codes; LDPC codes; Tanner derived minimum distance bounds; adjacency matrix; bit-oriented bound; block-wise irregular LDPC codes; code graph; eigenvalues; graphical analysis; low-density parity check codes; minimum distances; parity-oriented bound; regular LDPC codes; regular codes; Bipartite graph; Eigenvalues and eigenfunctions; Error correction codes; Iterative decoding; Parity check codes; Performance analysis; Sparse matrices; Virtual colonoscopy; Wireless communication;
  • fLanguage
    English
  • Journal_Title
    Communications Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1089-7798
  • Type

    jour

  • DOI
    10.1109/LCOMM.2005.03002
  • Filename
    1411019