• DocumentCode
    891989
  • Title

    On the number of correctable errors for some AG-codes

  • Author

    Jensen, H. Elbrond ; Hoholdt, T. ; Justesen, J.

  • Author_Institution
    Tech. Univ. of Denmark, Lyngby, Denmark
  • Volume
    39
  • Issue
    2
  • fYear
    1993
  • fDate
    3/1/1993 12:00:00 AM
  • Firstpage
    681
  • Lastpage
    684
  • Abstract
    An algorithm that, for codes from a regular plane curve, corrects up to (d*/2)-(m2/8)+(m/4)-(9/8) errors, where d* is the designed distance and m is the degree of the curve, was presented in an earlier work (see ibid., vol.35, p.811-21, 1989). It is now shown that this bound is the best possible for the algorithm considered
  • Keywords
    algebra; decoding; error correction codes; geometry; algebraic-geometric codes; decoding; designed distance; error correction; number of correctable errors; regular plane curve; Decoding; Equations; Error correction; Error correction codes; Galois fields; Geometry; Helium; Parity check codes; Polynomials;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.212303
  • Filename
    212303
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=891989