• DocumentCode
    2026028
  • Title

    The poset metrics that allow binary codes of codimension m to be m-, (m - 1)-, or (m - 2)-perfect

  • Author

    Hyun Kwang Kim ; Krotov, D.S.

  • Author_Institution
    Dept. of Math., Pohang Univ. of Sci. & Technol., Pohang
  • fYear
    2007
  • fDate
    24-29 June 2007
  • Firstpage
    1371
  • Lastpage
    1375
  • Abstract
    A binary poset code of codimension m (of cardinality 2n-m, where n is the code length) can correct maximum m errors. All possible poset metrics that allow codes of codimension m to be m-, (m-1)- or (m - 2)-perfect are described. Some general conditions on a poset which guarantee the nonexistence of perfect poset codes are derived.
  • Keywords
    binary codes; binary poset code; code length; perfect poset code; poset metrics; Binary codes; Error correction codes; Extraterrestrial measurements; Filters; Iron; Mathematics; perfect codes; poset codes;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2007. ISIT 2007. IEEE International Symposium on
  • Conference_Location
    Nice
  • Print_ISBN
    978-1-4244-1397-3
  • Type

    conf

  • DOI
    10.1109/ISIT.2007.4557414
  • Filename
    4557414