• DocumentCode
    1245087
  • Title

    A relation between the Characteristic Generators of a linear code and its dual

  • Author

    Kan, Haibin ; Shen, Hong

  • Author_Institution
    Dept. of Comput. Sci. & Eng., Fudan Univ., Ishikawa, Japan
  • Volume
    51
  • Issue
    3
  • fYear
    2005
  • fDate
    3/1/2005 12:00:00 AM
  • Firstpage
    1199
  • Lastpage
    1202
  • Abstract
    It was conjectured by Koetter and Vardy that if the k characteristic generators of a linear code C are linearly independent, then the corresponding n-k characteristic generators of the dual code C⊥ are also linearly independent. In this correspondence, we prove that the conjecture is true for self-dual codes and cyclic codes.
  • Keywords
    cyclic codes; dual codes; linear codes; matrix algebra; characteristic generators; characteristic matrices; cyclic codes; linear code; self-dual code; Block codes; Character generation; Computer science; Decoding; Information science; Linear code; Parity check codes; Characteristic generators; characteristic matrices; conventional trellises; cyclic codes; tailbiting trellises;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2004.842740
  • Filename
    1397959
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1245087