The Antipode Construction for Sphere Packings
Combinatorics
2015-06-26 v1
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.
Cite
@article{arxiv.math/0207182,
title = {The Antipode Construction for Sphere Packings},
author = {J. H. Conway and N. J. A. Sloane},
journal= {arXiv preprint arXiv:math/0207182},
year = {2015}
}
Comments
4 pages