• DocumentCode
    1230872
  • Title

    On MDS codes via Cauchy matrices

  • Author

    Roth, Ron M. ; Lempel, A.

  • Author_Institution
    Dept. of Comput. Sci., Technion, Haifa, Israel
  • Volume
    35
  • Issue
    6
  • fYear
    1989
  • fDate
    11/1/1989 12:00:00 AM
  • Firstpage
    1314
  • Lastpage
    1319
  • Abstract
    A special form of Cauchy matrix is used to obtain a tighter bound for the validity region of the maximum distance separable (MDS) conjecture and a new compact characterization of generalized Reed-Solomon codes. The latter is further used to obtain constructions and some existence results for long [2k, k] double-circulant MDS codes
  • Keywords
    codes; matrix algebra; Cauchy matrix; double-circulant MDS codes; generalized Reed-Solomon codes; maximum distance separable codes; Code standards; Computer science; H infinity control; Information theory; Linear code; Reed-Solomon codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.45291
  • Filename
    45291
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1230872