A new asymptotic bound of the minimum possible odd cardinality of spherical (2k-1)-designs

被引：2

作者：

Boyvalenkov, Peter ^{[1
]}

Stoyanova, Maya ^{[2
]}

机构：

[1] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

[2] Univ Sofia, Fac Math & Informat, Sofia 1164, Bulgaria

来源：

DISCRETE MATHEMATICS | 2010年 / 310卷 / 15-16期

关键词：

Spherical designs; Bounds; DESIGNS;

D O I：

10.1016/j.disc.2010.04.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply polynomial techniques to investigate the structure of spherical designs in an asymptotic process with fixed odd strength while the dimension and odd cardinality tend to infinity in a certain relation. Our bounds for the extreme inner products of special points in such designs allow new lower bounds on the minimum possible odd cardinality. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2170 / 2175

页数：6