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math.CO2025
Existence and nonexistence of spherical -designs of minimal type
Sho Suda, Zili Xu, Wei-Hsuan Yu
This paper investigates the existence and properties of spherical -designs of minimal type. We focus on two cases: tight spherical -designs and antipodal spherical -distan…
math.CO2020
Bounds on antipodal spherical designs with few angles
Zhiqiang Xu, Zili Xu, Wei-Hsuan Yu
A finite subset on the unit sphere is called an -distance set with strength if its angle set $A(X):=\{\langle \mathbf{x},\mathbf{y}\rangle : \mathbf{x…