Upper bounds for $s$-distance sets and equiangular lines

Alexey Glazyrin, Wei-Hsuan Yu

Type: Preprint

Publication Date: 2016-01-01

Citations: 3

DOI: https://doi.org/10.48550/arxiv.1611.09479

View Publication

Locations

arXiv (Cornell University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Upper bounds for s-distance sets and equiangular lines	2018	Alexey Glazyrin Wei-Hsuan Yu
+	New bounds for equiangular lines and spherical two-distance sets	2016	Wei-Hsuan Yu
+ PDF Chat	New Bounds for Equiangular Lines and Spherical Two-Distance Sets	2017	Wei-Hsuan Yu
+ PDF Chat	A generalization of Gerzon’s bound on spherical s-distance sets	2022	Mrinmoy Datta Subrata Manna
+	A generalization of Gerzon's bound on spherical s-distance sets	2021	Mrinmoy Datta Subrata Manna
+ PDF Chat	Few distance sets in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si12.svg"><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math> spaces and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e32" altimg="si12.svg"><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math> product spaces	2021	Richard Chen Feng Gui Jason Tang Nathan Xiong
+	Spherical two-distance sets	2008	Oleg R. Musin
+	An Upper Bound for the Cardinality of an s -Distance Set in Euclidean Space	2003	Etsuko Bannai Kazuki Kawasaki Yusuke Nitamizu Teppei Sato
+	Spherical two-distance sets	2009	Oleg R. Musin
+	Few distance sets in $\ell_p$ spaces and $\ell_p$ product spaces.	2020	Richard Chen Feng Gui Jason Tang Nathan Xiong
+ PDF Chat	Bounds on three- and higher-distance sets	2011	Oleg R. Musin Hiroshi Nozaki
+	Bounds on three- and higher-distance sets	2010	Oleg R. Musin Hiroshi Nozaki
+	New upper bound for the cardinalities of $s$-distance sets on the unit sphere	2009	Hiroshi Nozaki 寛野崎
+ PDF Chat	Equiangular lines and spherical codes in Euclidean space	2017	Igor Balla Felix Dräxler Peter Keevash Benny Sudakov
+	On two-distance sets in Euclidean Space	2002	Xu Shi
+	Sums of Squares of Distances in m-Space	2003	Tom M. Apostol Mamikon A. Mnatsakanian
+ PDF Chat	(m,n)-Equidistant Sets in $\mathbb{R}^{k},\mathbb{S}^{k}$ , and ℙ k	2007	Strashimir G. Popvassilev
+	Spherical Distributions of N Points with Maximal Distance Sums are well Spaced	1975	Kenneth B. Stolarsky
+	Spherical averages and distance sets	2015	Pertti Mattila
+ PDF Chat	Sums of distances between points on a sphere. II	1973	Kenneth B. Stolarsky

Works That Cite This (3)

Action	Title	Year	Authors
+	Equiangular line systems and switching classes containing regular graphs	2017	Gary R. W. Greaves
+	Computing Upper Bounds for Equiangular Lines in Euclidean Spaces	2016	Emily J. King Xiaoxian Tang
+	A remark on sets with few distances in $\mathbb{R}^{d}$	2019	Fedor Petrov Cosmin Pohoata

Works Cited by This (34)

Action	Title	Year	Authors
+ PDF Chat	The nonexistence of certain tight spherical designs	2005	Eiichi Bannaĭ Akihiro Munemasa Boris Venkov
+	Equiangular lines in Euclidean spaces	2015	Gary R. W. Greaves Jack H. Koolen Akihiro Munemasa Ferenc Szöllősi
+	On $t$-designs	1975	D. K. Ray-Chaudhuri Richard M. Wilson
+	Die Vollst�ndigkeit der primitiven Darstellungen einer geschlossenen kontinuierlichen Gruppe	1927	F.. Fonction indéterminée Peter H. Weyl
+	Multilinear polynomials and Frankl-Ray-Chaudhuri-Wilson type intersection theorems	1991	Noga Alon László Babai Hiroshi Suzuki
+	A new proof of several inequalities on codes and sets	1995	László Babai Hunter S. Snevily Richard M. Wilson
+ PDF Chat	New Bounds for Spherical Two-Distance Sets	2013	Alexander Barg Wei-Hsuan Yu
+ PDF Chat	Bounds on three- and higher-distance sets	2011	Oleg R. Musin Hiroshi Nozaki
+ PDF Chat	New bounds on the number of unit spheres that can touch a unit sphere in n dimensions	1979	Andrew Odlyzko N. J. A. Sloane
+	On Two-Distance Sets in Euclidean Space	1977	D Larman C. Rogers J.J. Seidel