• DocumentCode
    1523339
  • Title

    On Type II codes over F4

  • Author

    Betsumiya, Koichi ; Gulliver, T. Aaron ; Harada, Masaaki ; Munemasa, Akihiro

  • Author_Institution
    Graduate Sch. of Math., Nagoya Univ., Japan
  • Volume
    47
  • Issue
    6
  • fYear
    2001
  • fDate
    9/1/2001 12:00:00 AM
  • Firstpage
    2242
  • Lastpage
    2248
  • Abstract
    Previously, Type II codes over F4 have been introduced as Euclidean self-dual codes with the property that all Lee weights are divisible by four. In this paper, a number of properties of Type II codes are presented. We construct several extremal Type II codes and a number of extremal Type I codes. It is also shown that there are seven Type II codes of length 12, up to permutation equivalence
  • Keywords
    binary codes; dual codes; linear codes; Euclidean self-dual codes; F4; Lee weights; extremal Type I codes; extremal Type II codes; permutation equivalence; Binary codes; Galois fields; Hamming weight; Linear code; Mathematics; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.945245
  • Filename
    945245
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1523339