English

Improved Delsarte bounds for spherical codes in small dimensions

Combinatorics 2008-03-10 v2

Abstract

We present an extension of the Delsarte linear programming method. For several dimensions it yields improved upper bounds for kissing numbers and for spherical codes. Musin's recent work on kissing numbers in dimensions three and four can be viewed in our framework.

Keywords

Cite

@article{arxiv.math/0501493,
  title  = {Improved Delsarte bounds for spherical codes in small dimensions},
  author = {Florian Pfender},
  journal= {arXiv preprint arXiv:math/0501493},
  year   = {2008}
}

Comments

16 pages, 3 figures. Substantial changes after referee's comments, one new lemma