• DocumentCode
    818397
  • Title

    Decoding algebraic-geometric codes up to the designed minimum distance

  • Author

    Feng, Gui-Liang ; Rao, T. N R

  • Author_Institution
    Center for Adv. Comput. Studies, Univ. of Southwestern Louisiana, Lafayette, LA, USA
  • Volume
    39
  • Issue
    1
  • fYear
    1993
  • fDate
    1/1/1993 12:00:00 AM
  • Firstpage
    37
  • Lastpage
    45
  • Abstract
    A simple decoding procedure for algebraic-geometric codes C Ω(D,G) is presented. This decoding procedure is a generalization of Peterson´s decoding procedure for the BCH codes. It can be used to correct any [(d*-1)/2] or fewer errors with complexity O(n3), where d * is the designed minimum distance of the algebraic-geometric code and n is the codelength
  • Keywords
    computational complexity; decoding; error correction codes; algebraic-geometric codes; complexity; decoding procedure; error correction; minimum distance; Algebra; Algorithm design and analysis; Decoding; Error correction; Error correction codes; Geometry; Helium; Information theory; Iterative algorithms; Iterative decoding; Linear code;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.179340
  • Filename
    179340