• DocumentCode
    2946075
  • Title

    Stopping Set Enumerators of Full-Rank Parity-Check Matrices of Hamming Codes

  • Author

    Abdel-Ghaffar, Khaled A S ; Weber, Jos H.

  • Author_Institution
    Dept. of ECE, California Univ., Davis, CA
  • fYear
    2006
  • fDate
    9-14 July 2006
  • Firstpage
    1544
  • Lastpage
    1548
  • Abstract
    In the 2004 Shannon Lecture, McEliece presented an expression for the number of stopping sets of size three for a full-rank parity-check matrix of the Hamming code. In this paper, we derive an expression for the number of stopping sets of any given size for the same parity-check matrix
  • Keywords
    Hamming codes; matrix algebra; parity check codes; Hamming codes; full-rank parity-check matrices; stopping set enumerators; Block codes; Hamming distance; Helium; Iterative decoding; Null space; Parity check codes; Polynomials; USA Councils;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2006 IEEE International Symposium on
  • Conference_Location
    Seattle, WA
  • Print_ISBN
    1-4244-0505-X
  • Electronic_ISBN
    1-4244-0504-1
  • Type

    conf

  • DOI
    10.1109/ISIT.2006.262127
  • Filename
    4036226
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2946075