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The absolute upper bound on the number of equiangular lines that can be found in $\mathbf{R}^d$ is $d(d+1)/2$.
The pure archimedean polytopes in six and seven dimensions
H. S. M. Coxeter · 1928
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The polytopes with regular-prismatic vertex figures
H. S. M. Coxeter · 1930
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On the Directrices of a Set of Points in a Plane
Patrick du Val · 1933
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Equilateral point-sets in elliptic two- and three-dimensional spaces
J. Haantjes · 1948
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Determination of steiner triple systems of order 15
Marshall Hall and J. D. Swift · 1955
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Equilateral point sets in elliptic geometry
J. H. van Lint and J. J. Seidel · 1966
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The simple group of order 604,800 604,800
Marshall Hall, Jr. and David Wales · 1968
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Strongly regular graphs with ( − 1 , 1 , 0 ) (-1,\,1,\,0) adjacency matrix having eigenvalue 3 3
J. J. Seidel · 1968
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A simple group of order 448,345,497,600 448,345,497,600
Michio Suzuki · 1969
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Equiangular lines
P.W.H Lemmens and J.J Seidel · 1973
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Cubic forms: algebra, geometry, arithmetic
Yu. I. Manin and M. Hazewinkel · 1974
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The regular two-graph on 276 276 vertices
J.-M. Goethals and J. J. Seidel · 1975
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A survey of two-graphs
J. J. Seidel · 1976
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Cohomological aspects of two-graphs
Peter J. Cameron · 1977
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Spherical codes and designs
P. Delsarte, J. M. Goethals, and J. J. Seidel · 1977
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Regular 2 2 -graphs
D. E. Taylor · 1977
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Tight spherical designs. I
E. Bannai and R. M. Damerell · 1979
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Tight spherical designs. II
E. Bannai and R. M. Damerell · 1980
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Uniqueness of certain spherical codes
Eiichi Bannai and N. J. A. Sloane · 1981
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Tables of two-graphs
F. C. Bussemaker, R. A. Mathon, and J. J. Seidel · 1981
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Regular sets and quasisymmetric 2 2 -designs
A. Neumaier · 1982
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Atlas of finite groups
J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson · 1985
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The application of invariant theory to the existence of quasisymmetric designs
A. R. Calderbank · 1987
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Geometric invariants for quasisymmetric designs
A. R. Calderbank · 1988
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Inequalities for quasisymmetric designs
Algebraic Graph Theory
C. Godsil and G. Royle · 2001
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Classification of regular two-graphs on 36 and 38 vertices
Brendan D. McKay and Edward Spence · 2001
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Lie groups, Lie algebras, and representations
Brian C. Hall · 2003
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The nonexistence of certain tight spherical designs
E. Bannai, A. Munemasa, and B. Venkov · 2004
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Some self-dual codes invariant under the Hall-Janko group
Naoki Chigira, Masaaki Harada, and Masaaki Kitazume · 2007
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Spectra of graphs
Andries E. Brouwer and Willem H. Haemers · 2012
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On tight spherical designs
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A. R. Calderbank · 1988
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Binary codes and quasisymmetric designs
A. R. Calderbank and P. Frankl · 1990
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Designs, graphs, codes and their links
P. J. Cameron and J. H. van Lint · 1991
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The cell structures of certain lattices
John H. Conway and Neil J. A. Sloane · 1991
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Quasi-symmetric designs
Mohan S. Shrikhande and Sharad S. Sane · 1991
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Quasi-symmetric designs and the Smith normal form
A. Blokhuis and A. R. Calderbank · 1992
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G. Nebe and B. Venkov · 2012
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Combinatorics of minuscule representations
R. M. Green · 2013
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New bounds for equiangular lines
Alexander Barg and Wei-Hsuan Yu · 2014
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Equiangular lines in Euclidean spaces
Gary Greaves, Jacobus H. Koolen, Akihiro Munemasa, and Ferenc Szöllösi · 2016
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A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4
Takayuki Okuda and Wei-Hsuan Yu · 2016
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Forbidden subgraphs for graphs of bounded spectral radius, with applications to equiangular lines
Z. Jiang and A. Polyanskii · 2017
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New bounds for equiangular lines and spherical two-distance sets
Wei-Hsuan Yu · 2017
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Equiangular lines and spherical codes in Euclidean space
Igor Balla, Felix Dräxler, Peter Keevash, and Benny Sudakov · 2018
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GAP – Groups, Algorithms, and Programming, Version 4.9.3
The GAP Group · 2018
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Upper bounds for s s -distance sets and equiangular lines
Alexey Glazyrin and Wei-Hsuan Yu · 2018
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Equiangular line systems and switching classes containing regular graphs
Gary R. W. Greaves · 2018
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The l-functions and modular forms database
The LMFDB Collaboration · 2018
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