• DocumentCode
    2386373
  • Title

    Type II codes over F4

  • Author

    Gaborit, Philippe ; Pless, Vera ; Solé, Patrick ; Atkin, Oliver

  • Author_Institution
    Limoges Univ., France
  • fYear
    2000
  • fDate
    2000
  • Firstpage
    140
  • Abstract
    The natural analogues of Lee weight and Gray map over F 4 are introduced. Self-dual codes for the Euclidean scalar product with Lee weights multiples of 4 are called Type II. They produce Type II binary codes by Gray map. All extended Q-codes of length multiples of 4 are Type II, this includes generalized quadratic residue codes attached to a prime power q≡7 (mod 8). Certain double circulant codes are also considered. The first binary extremal singly-even [92,46,16] self-dual code is constructed. A general mass formula is derived
  • Keywords
    Galois fields; binary codes; dual codes; residue codes; Euclidean scalar product; F4 finite field; Gray map; Lee weight; Type II codes; binary codes; binary extremal singly-even self-dual code; double circulant codes; extended Q-codes; general mass formula; generalized quadratic residue codes; self-dual codes; Binary codes; Galois fields; Hamming distance;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2000. Proceedings. IEEE International Symposium on
  • Conference_Location
    Sorrento
  • Print_ISBN
    0-7803-5857-0
  • Type

    conf

  • DOI
    10.1109/ISIT.2000.866432
  • Filename
    866432
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2386373