New upper bounds on sphere packings I
成果类型：
Article
署名作者：
Cohn, H; Elkies, N
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.4007/annals.2003.157.689
发表日期：
2003
页码：
689-714
关键词：
摘要：
We develop an analogue for sphere packing of the linear programming bounds for error-correcting codes, and use it to prove upper bounds for the density of sphere packings, which are the best. bounds known at least for dimensions 4 through 36. We conjecture that our approach can be used to solve the sphere packing problem in dimensions 8 and 24.