Improved Delsarte bounds for spherical codes in small dimensions

Details Improved Delsarte bounds for spherical codes in small dimensions Improved Delsarte bounds for spherical codes in small dimensions

2005-01-27

arxiv.org/abs/math/0501493v2

J. Combin. Theory Ser. A 114 (2007) Issue 6, 1133-1147

Mathematics

Combinatorics

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

Scientific paper

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.

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