• DocumentCode
    1192639
  • Title

    Complete joint weight enumerators and self-dual codes

  • Author

    Choie, YoungJu ; Dougherty, Steven T. ; Kim, Haesuk

  • Author_Institution
    Dept. of Math., Pohang Univ. of Sci. & Technol., South Korea
  • Volume
    49
  • Issue
    5
  • fYear
    2003
  • fDate
    5/1/2003 12:00:00 AM
  • Firstpage
    1275
  • Lastpage
    1282
  • Abstract
    We define the complete joint weight enumerator in genus g for codes over Z2k and use it to study self-dual codes and their shadows. These weight enumerators are related to the theta series of the associated lattices and Siegel and Jacobi forms are formed from these series.
  • Keywords
    dual codes; lattice theory; Jacobi and Siegel forms; complete joint weight enumerators; lattices; self-dual codes; shadows; theta series; unimodular lattices; Code standards; Equations; Hamming weight; Jacobian matrices; Labeling; Lattices; Linear code; Mathematics; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2003.810649
  • Filename
    1197854
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1192639