• DocumentCode
    3275429
  • Title

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

  • Author

    Chen, Wende ; Kløve, Torleiv

  • Author_Institution
    Inst. of Syst. Sci., Acad. Sinica, Beijing, China
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    109
  • Abstract
    The weight hierarchy of a linear [n,k;q] code C over GF(q) is the sequence (d1,d2,…,dk) where d r is the smallest support of an r-dimensional subcode of C. An [n,k;q] code is extremal non-chain 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)=d s. The possible weight hierarchies of such ternary codes of dimension 4 are determined
  • Keywords
    Galois fields; linear codes; sequences; ternary codes; Galois field; code dimension; extremal nonchain ternary codes; linear code; sequence; subcode; weight hierarchies; Councils; Hamming weight; Informatics; Information security; Laboratories;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2001. Proceedings. 2001 IEEE International Symposium on
  • Conference_Location
    Washington, DC
  • Print_ISBN
    0-7803-7123-2
  • Type

    conf

  • DOI
    10.1109/ISIT.2001.935972
  • Filename
    935972
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3275429