• DocumentCode
    890101
  • Title

    Cyclotomic Linear Codes of Order 3

  • Author

    Ding, Cunsheng ; Niederreiter, Harald

  • Author_Institution
    Hong Kong Univ. of Sci. & Technol., Kowloon
  • Volume
    53
  • Issue
    6
  • fYear
    2007
  • fDate
    6/1/2007 12:00:00 AM
  • Firstpage
    2274
  • Lastpage
    2277
  • Abstract
    In this correspondence, two classes of cyclotomic linear codes over GF(q) of order 3 are constructed and their weight distributions are determined. The two classes are two-weight codes and contain optimal codes. They are not equivalent to irreducible cyclic codes in general when q > 2.
  • Keywords
    cyclic codes; linear codes; Cyclotomic linear codes; irreducible cyclic codes; two-weight codes; Computer science; Councils; Fourier transforms; Galois fields; Gaussian processes; Laboratories; Linear code; Mathematics; Terminology; Cyclotomy; Gaussian periods; linear codes; strongly regular graphs; two-weight codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2007.896886
  • Filename
    4215133
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=890101