• DocumentCode
    2407969
  • Title

    Construction of LDPC codes for AWGN and binary erasure channels based on finite fields

  • Author

    Zeng, Lingqi ; Lan, Lan ; Tai, Ying Y. ; Lin, Shu ; Abdel-Ghaffar, Khaled

  • Author_Institution
    Dept. of Electr. & Comput. Eng., California Univ., Davis, CA, USA
  • fYear
    2005
  • fDate
    29 Aug.-1 Sept. 2005
  • Abstract
    This paper presents a method for constructing structured LDPC codes based on finite fields and affine mappings. The Tanner graphs of these codes have girth at least six. Experimental results show that codes constructed based on this method with iterative decoding perform well on both the AWGN and binary erasure channels. Furthermore, codes constructed based on prime fields are quasi-cyclic.
  • Keywords
    AWGN channels; binary sequences; cyclic codes; graph theory; iterative decoding; parity check codes; AWGN channels; LDPC codes construction; Tanner graph; affine mapping; binary erasure channel; finite field; iterative decoding; prime field; quasicyclic code; AWGN; Bismuth; Block codes; Galois fields; Iterative decoding; Null space; Parity check codes; Reed-Solomon codes; Sparse matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop, 2005 IEEE
  • Print_ISBN
    0-7803-9480-1
  • Type

    conf

  • DOI
    10.1109/ITW.2005.1531903
  • Filename
    1531903