New upper bounds for kissing numbers from semidefinite programming
Abstract
Recently A. Schrijver derived new upper bounds for binary codes using semidefinite programming. In this paper we adapt this approach to codes on the unit sphere and we compute new upper bounds for the kissing number in several dimensions. In particular our computations give the (known) values for the cases n = 3, 4, 8, 24.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- August 2006
- DOI:
- 10.48550/arXiv.math/0608426
- arXiv:
- arXiv:math/0608426
- Bibcode:
- 2006math......8426B
- Keywords:
-
- Mathematics - Metric Geometry;
- Mathematics - Combinatorics;
- 52C17;
- 90C22
- E-Print:
- 17 pages, (v4) references updated, accepted in Journal of the American Mathematical Society