• DocumentCode
    640015
  • Title

    Rank spectrum of propelinear perfect binary codes

  • Author

    Guskov, George K. ; Mogilnykh, Ivan Yu ; Solov´eva, Faina I.

  • Author_Institution
    Sobolev Inst. of Math., Novosibirsk, Russia
  • fYear
    2013
  • fDate
    7-12 July 2013
  • Firstpage
    879
  • Lastpage
    881
  • Abstract
    It is known [4] that for any numbers n = 2m - 1, m ≥ 4 and r, such that n - log(n + 1) ≤ r ≤ n there exists a perfect binary code of length n and rank r. We show that there exists a propelinear such code of length n, excluding, may be, n = r = 63, n = 127, r ϵ {126,127} and n = r = 2047.
  • Keywords
    binary codes; linear codes; code length; code rank; propelinear perfect binary code; rank spectrum; Binary codes; Electronic mail; Kernel; Propulsion; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
  • Conference_Location
    Istanbul
  • ISSN
    2157-8095
  • Type

    conf

  • DOI
    10.1109/ISIT.2013.6620352
  • Filename
    6620352
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=640015