The Antipode Construction for Sphere Packings
arXiv:math/0207182 · doi:10.1007/BF01232378
Abstract
A construction for sphere packings is introduced that is parallel to the ``anticode'' construction for codes. This provides a simple way to view Vardy's recent 20-dimensional sphere packing, and also produces packings in dimensions 22, 44--47 that are denser than any previously known.
4 pages