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

作者：Boyvalenkov Peter^*; Stoyanova Maya

来源：Discrete Mathematics, 2010, 310(15-16): 2170-2175.

DOI：10.1016/j.disc.2010.04.007

• Spherical designs
• Bounds

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.

• 出版日期2010-8-28