Equiangular Lines in Low Dimensional Euclidean Spaces

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

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)839-872
Number of pages34
JournalCombinatorica
Volume41
Issue number6
DOIs
Publication statusPublished - Dec 2021
MoE publication typeA1 Journal article-refereed

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