@article{bc24ccdf0e4b462caffd10a847b5dc2b,
title = "New bounds for spherical two-distance sets",
abstract = "A spherical two-distance set is a finite collection of unit vectors in ℝn such that the distance between two distinct vectors assumes one of only two values. 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 = 23 and 40 ≤ n ≤ 93 (n ≠ 46, 78), where previous results gave divergent bounds.",
keywords = "Positive definite matrices, Semidefinite programming, Two-distance sets",
author = "Alexander Barg and Yu, {Wei Hsuan}",
note = "Funding Information: We are grateful to Chao-Wei Chen and Johan L{\"o}fberg for their significant help with the Matlab implementation. Research supported in part by NSF grants DMS1101697, CCF0916919, and CCF1217894, and NSA grant H78230-12-1-0260.",
year = "2013",
month = apr,
day = "3",
doi = "10.1080/10586458.2013.767725",
language = "???core.languages.en_GB???",
volume = "22",
pages = "187--194",
journal = "Experimental Mathematics",
issn = "1058-6458",
number = "2",
}