Papers › Equiangular lines in low dimensional Euclidean spaces

Equiangular lines in low dimensional Euclidean spaces

19 Feb 2020arXiv:2002.08085links table onlyarchive 2025-07-28

Gary R. W. Greaves, Jeven Syatriadi, Pavlo Yatsyna

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We show that the maximum cardinality of an equiangular line system in 14 and 16 dimensions is 28 and 40, respectively, thereby solving a longstanding open problem. We also improve the upper bounds on the cardinality of equiangular line systems in 19 and 20 dimensions to 74 and 94, respectively.

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