• DocumentCode
    1505609
  • Title

    Self-dual codes over Fp and weighing matrices

  • Author

    Arasu, K.T. ; Gulliver, T. Aaron

  • Author_Institution
    Dept. of Math. & Stat., Wright State Univ., Dayton, OH, USA
  • Volume
    47
  • Issue
    5
  • fYear
    2001
  • fDate
    7/1/2001 12:00:00 AM
  • Firstpage
    2051
  • Lastpage
    2055
  • Abstract
    Previously, self-dual codes have been constructed from Hadamard matrices. In this correspondence, codes constructed from weighing matrices, and in particular conference matrices are presented. A necessary condition for these codes to be self-dual is given, and examples are given for lengths up to 40. Codes constructed from all weighing matrices of order n⩽13 are also considered
  • Keywords
    dual codes; linear codes; matrix algebra; codes construction; conference matrices; necessary condition; self-dual codes; weighing matrices; Error correction; Error correction codes; Galois fields; Libraries; Symmetric matrices; Vectors;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.930940
  • Filename
    930940