• DocumentCode
    929001
  • Title

    Readable erasures improve the performance of Reed-Solomon codes (Corresp.)

  • Author

    Berlekamp, Elwyn R. ; Ramsey, John L.

  • Volume
    24
  • Issue
    5
  • fYear
    1978
  • fDate
    9/1/1978 12:00:00 AM
  • Firstpage
    632
  • Lastpage
    633
  • Abstract
    Since well-known decoding algorithms [1],[2] are able to correct both character errors and character erasures with q -ary Reed-Solomon codes, some modulation and demodulation schemes designed to be used with such codes provide a channel that has q inputs and q + 1 outputs, q of which correspond to the q inputs and one of which corresponds to the "erasure" symbol. This correspondence points om the relative advantages offered by a slightly more refined demodulation scheme, which creates a digital channel that has q inputs and 2_{q} outputs, q of which correspond to "strong" receptions of the inputs and q of which correspond to "weak" receptions of the inputs. For decoding purposes, all q weak outputs may be treated as erasures, but the fact that the channel now provides additional information facilitates improved decoding performance by reading the weak characters under the erasures.
  • Keywords
    Decoding; Reed-Solomon codes; Costs; Decoding; Demodulation; Electrons; Error correction codes; Hardware; Information theory; Modulation coding; Reed-Solomon codes;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.1978.1055931
  • Filename
    1055931