Antipodality of spherical designs with odd harmonic indices

Discrete Mathematics 2026 Open access

Read full text
Authors: R. Misawa, Akihiro Munemasa, Masanori Sawa
DOI: 10.1016/j.disc.2026.114978
Cited by: 1
References: 14

Abstract

We determine the smallest size of a non-antipodal spherical design with harmonic indices { 1 , 3 , … , 2 m − 1 } to be 2 m + 1 , where m is a positive integer. This is achieved by proving an analogous result for interval designs.

Fields of Study & Subjects

Mathematical Approximation and Integration Optimal Experimental Design Methods Point processes and geometric inequalities

Publication details

Journal / source
Discrete Mathematics
Publisher
Elsevier BV
Volume
349
Issue
6
Pages
114978–114978
Publication date
14 January 2026
Language
EN