• DocumentCode
    1495351
  • Title

    Permutation Arrays Under the Chebyshev Distance

  • Author

    Kløve, Torleiv ; Lin, Te-Tsung ; Tsai, Shi-Chun ; Tzeng, Wen-Guey

  • Author_Institution
    Dept. of Inf., Univ. of Bergen, Bergen, Norway
  • Volume
    56
  • Issue
    6
  • fYear
    2010
  • fDate
    6/1/2010 12:00:00 AM
  • Firstpage
    2611
  • Lastpage
    2617
  • Abstract
    An (n,d) permutation array (PA) is a subset of Sn with the property that the distance (under some metric) between any two permutations in the array is at least d. They became popular recently for communication over power lines. Motivated by an application to flash memories, in this paper, the metric used is the Chebyshev metric. A number of different constructions are given, as well as bounds on the size of such PA.
  • Keywords
    flash memories; Chebyshev distance; Chebyshev metric; flash memories; permutation arrays; power line communication; AWGN; Additive white noise; Chebyshev approximation; Decoding; Error correction; Flash memory; Gaussian noise; Hamming distance; Noise level; Pulse modulation; Bounds; Chebyshev distance; code constructions; flash memory; permutation arrays;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2010.2046212
  • Filename
    5466546