• DocumentCode
    1443235
  • Title

    The complete weight enumerator of Type II codes over Z2m and Jacobi forms

  • Author

    Choie, YoungJu ; Kim, Namshik

  • Author_Institution
    Dept. of Math., Pohang Inst. of Sci. & Technol., South Korea
  • Volume
    47
  • Issue
    1
  • fYear
    2001
  • fDate
    1/1/2001 12:00:00 AM
  • Firstpage
    396
  • Lastpage
    399
  • Abstract
    In this correspondence, we construct theta series that are Jacobi forms, from the complete enumerator of Type II codes over Z2m. Moreover, we construct a map from a certain invariant space to the space of Jacobi forms on the full modular group
  • Keywords
    algebraic codes; dual codes; group codes; linear codes; Abelian groups; Jacobi forms; Type II codes; algebraic coding; complete weight enumerator; full modular group; invariant space; linear code; self-dual codes; theta series; Binary codes; Block codes; Error correction codes; Jacobian matrices; Notice of Violation; Quantum computing; Quantum mechanics;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.904543
  • Filename
    904543
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1443235