New bounds for spherical two-distance sets

Alexander Barg, Wei Hsuan Yu

研究成果: 雜誌貢獻期刊論文同行評審

20 引文 斯高帕斯(Scopus)

摘要

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.

原文???core.languages.en_GB???
頁(從 - 到)187-194
頁數8
期刊Experimental Mathematics
22
發行號2
DOIs
出版狀態已出版 - 3 4月 2013

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