• DocumentCode
    1779924
  • Title

    List decoding of crisscross error patterns

  • Author

    Wachter-Zeh, Antonia

  • Author_Institution
    Comput. Sci. Dept., Technion - Israel Inst. of Technol., Haifa, Israel
  • fYear
    2014
  • fDate
    June 29 2014-July 4 2014
  • Firstpage
    1236
  • Lastpage
    1240
  • Abstract
    List decoding of crisscross errors in arrays over finite fields is considered. A Johnson-like upper bound on the maximum list size in the cover metric is derived, showing that the list of codewords has polynomial size up to a certain radius. Further, a simple list decoding algorithm for a known optimal code construction is presented, which decodes errors in the cover metric up to our upper bound. These results reveal significant differences between the cover metric and the rank metric.
  • Keywords
    Galois fields; computational complexity; decoding; error correction codes; Johnson-like upper bound; codewords; cover metric; crisscross error pattern; decoding error; finite fields; list decoding; maximum list size; optimal code construction; polynomial size; rank metric; Complexity theory; Decoding; Manganese; Measurement; Upper bound; Vectors; cover metric; crisscross errors; list decoding;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory (ISIT), 2014 IEEE International Symposium on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/ISIT.2014.6875030
  • Filename
    6875030