• DocumentCode
    1087638
  • Title

    Mass formulas for self-dual codes over Z4 and Fq+uFq rings

  • Author

    Gaborit, P.

  • Author_Institution
    Lab. d´Algorithmique Arithmetique, Bordeaux I Univ., Talence
  • Volume
    42
  • Issue
    4
  • fYear
    1996
  • fDate
    7/1/1996 12:00:00 AM
  • Firstpage
    1222
  • Lastpage
    1228
  • Abstract
    We give a mass formula for quaternary self-dual and type II codes and for self-dual codes over Fq+uFq rings. We define type II codes and compute the number of distinct type II codes. We also give formulas for the number of doubly even binary codes, necessary to compute Nd(n), the number of distinct codes of length n, for any dimension n, and conclude that the classification of quaternary self-dual codes could be reasonably extended to length 14
  • Keywords
    binary sequences; dual codes; code dimension; code length; doubly even binary codes; mass formula; quaternary self-dual codes; type II codes; Arithmetic; Binary codes; Lattices; Linear code;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.508845
  • Filename
    508845
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1087638