Antipodality of spherical designs with odd harmonic indices
Combinatorics
2026-01-06 v6 Metric Geometry
Abstract
We determine the smallest size of a non-antipodal spherical design with harmonic indices to be , where is a positive integer. This is achieved by proving an analogous result for interval designs.
Cite
@article{arxiv.2410.09471,
title = {Antipodality of spherical designs with odd harmonic indices},
author = {Ryutaro Misawa and Akihiro Munemasa and Masanori Sawa},
journal= {arXiv preprint arXiv:2410.09471},
year = {2026}
}
Comments
corrected typo, 13 pages