@article{e297c385f7d949c1a24f3f5cae255531,
title = "Equiangular Lines in Low Dimensional Euclidean Spaces",
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.",
author = "Greaves, {Gary R.W.} and Jeven Syatriadi and Pavlo Yatsyna",
note = "Funding Information: GRWG was supported by the Singapore Ministry of Education Academic Research Fund (Tier 1); grant numbers: RG29/18 and RG21/20. PY was supported by project PRIMUS/20/SCI/002 from Charles University. Publisher Copyright: {\textcopyright} 2021, J{\'a}nos Bolyai Mathematical Society and Springer-Verlag.",
year = "2021",
month = dec,
doi = "10.1007/s00493-020-4523-0",
language = "English",
volume = "41",
pages = "839--872",
journal = "Combinatorica",
issn = "0209-9683",
publisher = "Janos Bolyai Mathematical Society",
number = "6",
}