• DocumentCode
    1316103
  • Title

    The weight hierarchies of q-ary codes of dimension 4

  • Author

    Chen, Wende ; Kløve, Torleiv

  • Author_Institution
    Inst. of Syst. Sci., Acad. Sinica, Beijing, China
  • Volume
    42
  • Issue
    6
  • fYear
    1996
  • fDate
    11/1/1996 12:00:00 AM
  • Firstpage
    2265
  • Lastpage
    2272
  • Abstract
    The weight hierarchy of a linear [n,k;q] code C over GF(q) is the sequence (d1,d2,...dk) where dτ is the smallest support of an τ-dimensional subcode of C. The possible weight hierarchies of [n,4;q] codes are studied. In particular, the possible weight hierarchies of [n,4;3] codes are determined
  • Keywords
    Galois fields; linear codes; GF(q); linear codes; q-ary codes; ternary codes; weight hierarchy; Binary codes; Councils; Galois fields; Hamming weight; Informatics; Information security; Laboratories; Linear code; Product codes; Terminology;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.556621
  • Filename
    556621