• DocumentCode
    1437845
  • Title

    Optimal, Systematic, q -Ary Codes Correcting All Asymmetric and Symmetric Errors of Limited Magnitude

  • Author

    Elarief, Noha ; Bose, Bella

  • Author_Institution
    Sch. of Electr. Eng. & Comput. Sci., Oregon State Univ., Corvallis, OR, USA
  • Volume
    56
  • Issue
    3
  • fYear
    2010
  • fDate
    3/1/2010 12:00:00 AM
  • Firstpage
    979
  • Lastpage
    983
  • Abstract
    Systematic q-ary (q > 2) codes capable of correcting all asymmetric errors of maximum magnitude l , where l ¿ q - 2, are given. These codes are shown to be optimal. Further, simple encoding/decoding algorithms are described. The proposed code can be modified to design codes correcting all symmetric errors of maximum magnitude l, where l ¿ (q-2)/2.
  • Keywords
    decoding; error correction codes; decoding algorithms; encoding algorithms; limited magnitude symmetric errors; symmetric q-Ary codes correction; Circuits; Computer science; Costs; Data processing; Error correction; Error correction codes; Flash memory; Manufacturing; Threshold voltage; Very large scale integration; $q$-ary codes; asymmetric channels; error control; error correcting codes; limited magnitude error;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2009.2039065
  • Filename
    5429135