THE ANTIPODE CONSTRUCTION FOR SPHERE PACKINGS

Authors
CONWAY JH SLOANE NJA
Citation
Jh. Conway et Nja. Sloane, THE ANTIPODE CONSTRUCTION FOR SPHERE PACKINGS, Inventiones Mathematicae, 123(2), 1996, pp. 309-313
Citations number
3
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Inventiones Mathematicae → ACNP
ISSN journal
00209910
Volume
123
Issue
2
Year of publication
1996
Pages
309 - 313
Database
ISI
SICI code
0020-9910(1996)123:2<309:TACFSP>2.0.ZU;2-W
Abstract
A construction for sphere packings is introduced that is parallel to t he ''anticode'' construction for codes. This provides a simple way to view Vardy's recent 20-dimensional sphere packing, and also produces p ackings in dimensions 22,44-47 that are denser than any previously kno wn.