Some remarks on Euclidean tight designs

Authors:
Masatake Hirao;Masanori Sawa;Yuanyuan Zhou
Affiliations:
Graduate School of Information Science, Nagoya University, Japan;Graduate School of Information Science, Nagoya University, Japan;Graduate School of Information Science, Nagoya University, Japan
Venue:
Journal of Combinatorial Theory Series A
Year:
2011

Citing 5
Cited 0

On antipodal Euclidean tight (2e + 1)-designs

Journal of Algebraic Combinatorics: An International Journal
Orbits of the hyperoctahedral group as Euclidean designs

Journal of Algebraic Combinatorics: An International Journal
New examples of Euclidean tight 4-designs

European Journal of Combinatorics
A survey on spherical designs and algebraic combinatorics on spheres

European Journal of Combinatorics
Cubature formulas in numerical analysis and Euclidean tight designs

European Journal of Combinatorics

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper we present a new 4-dimensional tight Euclidean 5-design on 3 concentric spheres, together with a list of all known tight Euclidean designs which has been updated since the last survey paper by Bannai and Bannai (2009) [6]. We also examine whether each of all known tight Euclidean designs has the structure of a coherent configuration.