• Title of article

    On perfect Lee codes

  • Author/Authors

    Horak، نويسنده , , P.، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2009
  • Pages
    11
  • From page
    5551
  • To page
    5561
  • Abstract
    In this paper we survey recent results on the Golomb–Welch conjecture and its generalizations and variations. We also show that there are no perfect 2-error correcting Lee codes of block length 5 and 6 over Z . This provides additional support for the Golomb Welch conjecture as it settles the two smallest cases open so far.
  • Keywords
    Perfect Lee code , Golomb–Welch conjecture
  • Journal title
    Discrete Mathematics
  • Serial Year
    2009
  • Journal title
    Discrete Mathematics
  • Record number

    1599092