• DocumentCode
    586656
  • Title

    On the existence of generalized rank weights

  • Author

    Oggier, Frederique ; Sboui, A.

  • Author_Institution
    Div. of Math. Sci., Nanyang Technol. Univ., Singapore, Singapore
  • fYear
    2012
  • fDate
    28-31 Oct. 2012
  • Firstpage
    406
  • Lastpage
    410
  • Abstract
    We consider rank metric codes. We introduce a definition of generalized rank weights, that represents a counterpart of generalized “Hamming weights” with respect to the rank metric. We motivate our definition by the security drop behavior of rank metric wiretap network codes, by analogy to the way generalized Hamming weights characterize linear wiretap codes. We give some examples and properties to support our definition.
  • Keywords
    linear codes; network coding; generalized Hamming weights; generalized rank weights; linear wiretap codes; rank metric wiretap network codes; Hamming weight; Linear code; Measurement; Network coding; Parity check codes; Security; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory and its Applications (ISITA), 2012 International Symposium on
  • Conference_Location
    Honolulu, HI
  • Print_ISBN
    978-1-4673-2521-9
  • Type

    conf

  • Filename
    6400964