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
Main Authors: | Greaves, Gary Royden Watson, Syatriadi, Jeven, Yatsyna, Pavlo |
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Other Authors: | School of Physical and Mathematical Sciences |
Format: | Journal Article |
Language: | English |
Published: |
2023
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Subjects: | |
Online Access: | https://hdl.handle.net/10356/169357 |
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