• DocumentCode
    761705
  • Title

    The ternary Golay code, the integers mod 9, and the Coxeter-Todd lattice

  • Author

    Calderbank, A.R. ; Sloane, N. J A

  • Author_Institution
    Math. Sci. Res. Center, AT&T Bell Labs., Murray Hill, NJ, USA
  • Volume
    42
  • Issue
    2
  • fYear
    1996
  • fDate
    3/1/1996 12:00:00 AM
  • Firstpage
    636
  • Lastpage
    637
  • Abstract
    The 12-dimensional Coxeter-Todd lattice can be obtained by lifting the ternary Golay code to a code over the integers mod 9 and applying Construction A
  • Keywords
    Golay codes; cyclic codes; dual codes; polynomials; 12-dimensional lattice; Coxeter-Todd lattice; generator polynomial; integers; self-dual code; self-orthogonal code; ternary Golay code; Convolution; Convolutional codes; Information theory; Lattices; Maximum likelihood decoding; Modulation coding; Performance loss; Phase shift keying; Quadrature amplitude modulation; Viterbi algorithm;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.485733
  • Filename
    485733
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=761705