• DocumentCode
    3280110
  • Title

    Computation of zeta functions counting pseudo-codewords of linear codes

  • Author

    Matsuda, Shuzo ; Saito, Seiken ; Hiramatsu, Toyokazu

  • Author_Institution
    Fac. of Eng., Hosei Univ., Koganei
  • fYear
    2008
  • fDate
    7-10 Dec. 2008
  • Firstpage
    1
  • Lastpage
    5
  • Abstract
    It is described in this document how to compute zeta functions counting unscaled pseudo-codewords of general binary linear codes. This zeta functions are introduced in [2] for cycle codes and extended in [3] for general linear codes. Especially, we show that the zeta functions of codes are computed by using a 1/2 size determinants compared to those of [3] for non-cycle codes.
  • Keywords
    binary codes; linear codes; cycle codes; general binary linear codes; linear codes; pseudo-codewords; zeta functions; Information theory; Iterative algorithms; Iterative decoding; Linear code; Linear programming; Message passing; Parity check codes; Symmetric matrices; Taylor series; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory and Its Applications, 2008. ISITA 2008. International Symposium on
  • Conference_Location
    Auckland
  • Print_ISBN
    978-1-4244-2068-1
  • Electronic_ISBN
    978-1-4244-2069-8
  • Type

    conf

  • DOI
    10.1109/ISITA.2008.4895507
  • Filename
    4895507