• DocumentCode
    3248287
  • Title

    Improved bounds and constructions for granular media coding

  • Author

    Sharov, Artyom ; Roth, Ron M.

  • Author_Institution
    Comput. Sci. Dept., Technion - Israel Inst. of Technol., Haifa, Israel
  • fYear
    2013
  • fDate
    2-4 Oct. 2013
  • Firstpage
    637
  • Lastpage
    644
  • Abstract
    Improved bounds on the rates of grain-correcting codes are presented. The lower bounds are Gilbert-Varshamov-like ones combined with a construction by Gabrys et al.; additionally, two asymptotically equivalent upper bounds are presented. Both the lower and the upper bounds improve on the previously known results for certain ranges of parameters. Constructions of 1-grain-correcting codes which are based on a partitioning technique are presented for lengths up to 18.
  • Keywords
    codes; grain-correcting codes; granular media coding; lower bounds; upper bounds; Binary codes; Encoding; Entropy; Magnetic recording; Markov processes; Media; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communication, Control, and Computing (Allerton), 2013 51st Annual Allerton Conference on
  • Conference_Location
    Monticello, IL
  • Print_ISBN
    978-1-4799-3409-6
  • Type

    conf

  • DOI
    10.1109/Allerton.2013.6736585
  • Filename
    6736585