Sphere Packing and Error-Correcting Codes

  • John Leech
  • N. J. A. Sloane
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 290)

Abstract

Error-correcting codes are used to construct dense sphere packings in n-dimensional Euclidean space R n , and other packings are obtained by taking cross-sections or building up by layers. In this way we construct the densest packings known in all dimensions n ⩽ 29 and in some higher dimensions, as well as a number of other interesting packings.

Keywords

Linear Code Adjacent Layer Center Density Cyclic Code Sphere Packing 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • John Leech
  • N. J. A. Sloane

There are no affiliations available

Personalised recommendations