New examples of Euclidean tight 4-designs

DOI10.1016/j.ejc.2008.07.012zbMath1191.05019OpenAlexW2012586916MaRDI QIDQ1011507

Etsuko Bannai

Publication date: 8 April 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2008.07.012

zbMATH Keywords

association schemespherical \(t\)-designHamming schemeEuclidean tight \(t\)-design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Association schemes, strongly regular graphs (05E30)

Related Items (10)

On the existence of tight relative 2-designs on binary Hamming association schemes ⋮ A new Euclidean tight 6-design ⋮ Some remarks on Euclidean tight designs ⋮ Inside s-inner product sets and Euclidean designs ⋮ Euclidean designs obtained from spherical embedding of coherent configurations ⋮ Tight 9-designs on two concentric spheres ⋮ Note on the tight relative 2-designs on \(H(n,2)\) ⋮ A survey on tight Euclidean \(t\)-designs and tight relative \(t\)-designs in certain association schemes ⋮ Cubature formulas in numerical analysis and Euclidean tight designs ⋮ A survey on spherical designs and algebraic combinatorics on spheres

Cites Work

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• Averaging sets: A generalization of mean values and spherical designs
• On orthogonal arrays of strength 3 and 5 achieving Rao's bound
• Fisher type inequalities for Euclidean t-designs
• On t-designs
• Spherical codes and designs
• Tight 4-designs
• On the strong non-rigidity of certain tight Euclidean designs
• On antipodal Euclidean tight \((2e+1)\)-designs
• On Euclidean tight 4-designs
• A note on the spherical embeddings of strongly regular graphs
• On Euclidean designs
• On Orthogonal Arrays of Strength 4 Achieving Rao's Bound
• On Two-Distance Sets in Euclidean Space

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