• DocumentCode
    1474722
  • Title

    Weight hierarchies of extremal non-chain binary codes of dimension 4

  • Author

    Chen, Wende ; Klove, Torleiv

  • Author_Institution
    Inst. of Syst. Sci., Acad. Sinica, Beijing, China
  • Volume
    45
  • Issue
    1
  • fYear
    1999
  • fDate
    1/1/1999 12:00:00 AM
  • Firstpage
    276
  • Lastpage
    281
  • Abstract
    The weight hierarchy of a linear [n,k;q] code C over GF(q) is the sequence (d1,d2,···,dk ) where dr is the smallest support of an r-dimensional subcode of C. An [n,k;q] code is extremal nonchain if, for any r and s, where 1⩽r<s⩽k, there are no subspaces D and E such that D⊂E, dim D=r, dim E=s,wS(D)=dr, and wS (E)=ds. The possible weight hierarchies of such binary codes of dimension 4 are determined
  • Keywords
    binary codes; linear codes; sequences; dimension 4; extremal nonchain binary codes; linear code; r-dimensional subcode; sequence; subspaces; weight hierarchies; Binary codes; Control systems; Councils; Galois fields; Informatics; Information security; Laboratories; Linear code; Product codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.746811
  • Filename
    746811
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1474722