• DocumentCode
    2470018
  • Title

    Cyclotomy and duadic codes of prime lengths

  • Author

    Ding, Cunsheng ; Pless, Vera

  • Author_Institution
    Dept. of Inf. Syst. & Comput. Sci., Nat. Univ. of Singapore, Singapore
  • fYear
    1998
  • fDate
    16-21 Aug 1998
  • Firstpage
    234
  • Abstract
    With the help of cyclotomy we determine the number of all duadic codes of prime lengths and present an algorithmic construction of all such codes. We establish a hierarchy for all such duadic codes according to their cyclotomic order and discuss their automorphism groups. Some weights in binary duadic codes are also determined with the help of cyclotomic numbers. Finally, we study cyclotomic duadic codes of different orders
  • Keywords
    algebraic codes; binary codes; group codes; algorithmic construction; automorphism groups; binary duadic codes; cyclotomic duadic codes; cyclotomic numbers; cyclotomic order; cyclotomy; duadic codes; prime length codes; Mathematics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
  • Conference_Location
    Cambridge, MA
  • Print_ISBN
    0-7803-5000-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1998.708838
  • Filename
    708838