• DocumentCode
    327305
  • Title

    Codes and lattices

  • Author

    Sloane, N. J A

  • Author_Institution
    AT&T, Florham Park, NJ, USA
  • fYear
    1998
  • fDate
    16-21 Aug 1998
  • Firstpage
    1
  • Abstract
    Summary form only given. The author reports on the progress on Shannon´s old problem of finding the best way to pack billiard balls in n=2WT dimensions. Thanks to the efforts of a number of people, we now have reasonably good packings in perhaps the first 64 dimensions. Many-but not all-of the new constructions make use of codes, although we now have to allow codes over rings as well as fields
  • Keywords
    codes; Shannon´s problem; billiard balls packing; codes; dimensions; fields; lattices; rings; Bibliographies; Books; Lattices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1998. Proceedings. 1998 IEEE International Symposium on
  • Conference_Location
    Cambridge, MA
  • Print_ISBN
    0-7803-5000-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1998.708577
  • Filename
    708577