English

New bounds for spherical two-distance sets

Metric Geometry 2013-01-24 v2

Abstract

A spherical two-distance set is a finite collection of unit vectors in Rn\reals^n such that the set of distances between any two distinct vectors has cardinality two. We use the semidefinite programming method to compute improved estimates of the maximum size of spherical two-distance sets. Exact answers are found for dimensions n=23n=23 and 40n93  (n46,78)40\le n\le 93\; (n\ne 46,78) where previous results gave divergent bounds.

Keywords

Cite

@article{arxiv.1204.5268,
  title  = {New bounds for spherical two-distance sets},
  author = {Alexander Barg and Wei-Hsuan Yu},
  journal= {arXiv preprint arXiv:1204.5268},
  year   = {2013}
}
R2 v1 2026-06-21T20:53:51.022Z