• DocumentCode
    926996
  • Title

    Decoding of alternant codes (Corresp.)

  • Author

    Helgert, Hermann J.

  • Volume
    23
  • Issue
    4
  • fYear
    1977
  • fDate
    7/1/1977 12:00:00 AM
  • Firstpage
    513
  • Lastpage
    514
  • Abstract
    It is shown that the only modification of the Berlekamp algorithm required to decode the class of alternant codes consists of a linear transformation of the syndromes prior to the application of the algorithm. Since alternant codes include all Bose-Chaudhuri-Hocquenghem (BCH) and Goppa codes, the Chien-Choy generalized BCH codes, and the generalized Srivastava codes, all of these can be decoded with no increase in complexity over BCH decoding.
  • Keywords
    BCH codes; Decoding; Error-correcting codes; Goppa codes; Srivastava codes; Aircraft; Artificial satellites; Binary sequences; Circuits and systems; Decoding; Digital systems; Gold; Parity check codes; Relays; Spread spectrum communication;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1977.1055730
  • Filename
    1055730