Constructions of maximum few-distance sets in Euclidean spaces

DOI10.37236/8565zbMath1454.51007arXiv1804.06040OpenAlexW3000812109MaRDI QIDQ2290349

Ferenc Szöllősi, Patric R. J. Östergård

Publication date: 27 January 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.06040

zbMATH Keywords

Euclidean spacefew-distance setmaximal cardinality

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Erd?s problems and related topics of discrete geometry (52C10) General theory of distance geometry (51K05)

Related Items (7)

Classification of partially metric Q-polynomial association schemes with \(m_1=4\) ⋮ Nearly \(k\)-distance sets ⋮ Maximal 2-distance sets containing the regular simplex ⋮ The two-distance sets in dimension four ⋮ Unnamed Item ⋮ Biangular lines revisited ⋮ A proof of a dodecahedron conjecture for distance sets

Uses Software

• CoCoALib
• Cliquer

Cites Work

• A generalization of Larman-Rogers-Seidel's theorem
• Bounds on three- and higher-distance sets
• Classification algorithms for codes and designs
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• An upper bound for the cardinality of an s-distance subset in real Euclidean space. II
• An introduction to finite tight frames
• Classification of association schemes of small order
• The near resolvable \(2\)-\((13,4,3)\) designs and thirteen-player whist tournaments
• Equiangular lines
• Excursions into combinatorial geometry
• Every one a Winner or how to Avoid Isomorphism Search when Cataloguing Combinatorial Configurations
• On Two-Distance Sets in Euclidean Space
• Constructions of biangular tight frames and their relationships with equiangular tight frames
• Packings in Real Projective Spaces
• Euclidean Distance Geometry and Applications
• CoCoALib: A C++ Library for Computations in Commutative Algebra... and Beyond
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