Equiangular lines in euclidean spaces: dimensions 17 and 18

Equiangular lines in euclidean spaces: dimensions 17 and 18

We show that the maximum cardinality of an equiangular line system in 17 dimensions is 48, thereby solving a longstanding open problem. Furthermore, by giving an explicit construction, we improve the lower bound on the maximum cardinality of an equiangular line system in 18 dimensions to 57

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Bibliographic Details
Main Authors: Greaves, Gary Royden Watson, Syatriadi, Jeven, Yatsyna, Pavlo
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2023
Subjects:
Science::Mathematics
Equiangular Lines
Dimensions 17 and 18
Online Access:https://hdl.handle.net/10356/169357
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Institution: Nanyang Technological University
Language: English
Description
Summary:We show that the maximum cardinality of an equiangular line system in 17 dimensions is 48, thereby solving a longstanding open problem. Furthermore, by giving an explicit construction, we improve the lower bound on the maximum cardinality of an equiangular line system in 18 dimensions to 57

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