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math.CO2025
Constructions of Large m-Distance Sets on Triangular Lattice
Li-Ren Bao, Wei-Hsuan Yu
An -distance set is a collection of points such that the distances between any two points have possible values. We use two different methods to construct large -distance…
math.CO2025
Bounds on two-distance sets in Euclidean space and Unit Sphere
Wei-Chun Chen, Wei-Hsuan Yu
We establish upper bounds for the size of two-distance sets in Euclidean space and spherical two-distance sets. The main recipe for obtaining upper bounds is the spectral method. W…
math.CO2025
Hegedus' Conjecture and Tighter Upper Bounds for Equidistant Codes in Hamming Spaces
Sihuang Hu, Hexiang Huang, Wei-Hsuan Yu
An equidistant code is a code in the Hamming space such that two distinct codewords have the same Hamming distance. This paper investigates the bounds for equidistant codes in Hamm…