Some remarks on Euclidean tight designs

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.