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arXiv · 2002.08085

Equiangular lines in low dimensional Euclidean spaces

Gary R. W. Greaves·Jeven Syatriadi·Pavlo Yatsyna
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Abstract

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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Gary R. W. Greaves, Jeven Syatriadi, Pavlo Yatsyna. 2020-02-19. Equiangular lines in low dimensional Euclidean spaces. https://arxiv.org/abs/2002.08085

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