Equiangular Lines in Low Dimensional Euclidean Spaces

Gary R.W. Greaves; Jeven Syatriadi; Pavlo Yatsyna

doi:10.1007/s00493-020-4523-0

Equiangular Lines in Low Dimensional Euclidean Spaces

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

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Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

7 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	839-872
Sivumäärä	34
Julkaisu	Combinatorica
Vuosikerta	41
Numero	6
DOI - pysyväislinkit	https://doi.org/10.1007/s00493-020-4523-0
Tila	Julkaistu - jouluk. 2021
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1007/s00493-020-4523-0

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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",

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TY - JOUR

T1 - Equiangular Lines in Low Dimensional Euclidean Spaces

AU - Greaves, Gary R.W.

AU - Syatriadi, Jeven

AU - Yatsyna, Pavlo

N1 - 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: © 2021, János Bolyai Mathematical Society and Springer-Verlag.

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85113999320&partnerID=8YFLogxK

U2 - 10.1007/s00493-020-4523-0

DO - 10.1007/s00493-020-4523-0

M3 - Article

AN - SCOPUS:85113999320

SN - 0209-9683

VL - 41

SP - 839

EP - 872

JO - Combinatorica

JF - Combinatorica

IS - 6

ER -

Equiangular Lines in Low Dimensional Euclidean Spaces

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