3 papers
math.CO2025
Three-dimensional symmetric designs of propriety 3
Amin Bahmanian, Vedran Krčadinac, Lucija Relić +1
We define symmetric designs of dimension and propriety , providing a unifying generalization of several classes of higher-dimensional symmetric designs previously studied. W…
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.CO2025
Codes with symmetric distances
Gábor Hegedüs, Sho Suda, Ziqing Xiang
For a code in a space with maximal distance , we say that has symmetric distances if its distance set is symmetric with respect to . In this paper, we prov…