• DocumentCode
    3274491
  • Title

    Matrix characterization of generalized Hamming weights

  • Author

    Viswanath, G. ; Rajan, B. Sundar

  • Author_Institution
    Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    61
  • Abstract
    A linear code with the systematic generator matrix [I|P] is maximum distance separable (MDS) if and only if every square submatrix of P is nonsingular. We obtain similar matrix characterization for all linear codes with a specified Hamming weight hierarchy (HWH). Using this we characterize near-MDS codes (NMDS), near-near-MDS (N2MDS) codes and a generalization of these codes called NμMDS codes in terms of their systematic generator matrices
  • Keywords
    linear codes; matrix algebra; Hamming weight hierarchy; NμMDS codes; N2MDS codes; NMDS; generalized Hamming weights; linear code; matrix characterization; maximum distance separable code; near-MDS codes; near-near-MDS codes; nonsingular square submatrix; systematic generator matrix; Character generation; Hamming weight; Linear code; Parity check codes;
  • 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.2001.935924
  • Filename
    935924
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3274491