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

Hexagonal Pet3 

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • John Leech
  • N. J. A. Sloane

There are no affiliations available

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