Abstract:A finite subset X on the unit sphere S d−1 is called an s-distance set with strength t if its angle set A(X) := { x, y : x, y ∈ X, x = y} has size s, and X is a spherical t-design but not a spherical (t + 1)-design. In this paper, we consider to estimate the maximum size of such antipodal set X for small s. Motivated by the method developed by Nozaki and Suda [NS11], for each even integer s ∈ [ t+5 2 , t + 1] with t ≥ 3, we improve the best known upper bound of Delsarte, Goethals and Seidel [DGS77]. We next fo… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.