16 citations · 53 across the 30 of their papers we have counts for
6 papers · 1 filter
Upper bounds for -distance sets and equiangular lines
Alexey Glazyrin, Wei-Hsuan Yu
The set of points in a metric space is called an -distance set if pairwise distances between these points admit only distinct values. Two-distance spherical sets with the se…
New bounds for equiangular lines and spherical two-distance sets
Wei-Hsuan Yu
A set of lines in is called equiangular if the angle between each pair of lines is the same. We derive new upper bounds on the cardinality of equiangular lines. Let…
There are no 76 equiangular lines in
Wei-Hsuan Yu
Maximum size of equiangular lines in has been known in the range between 72 to 76 since 1973. Acoording to the nonexistence of strongly regular graph $(75,32,10,1…
Nonexistence of tight spherical design of harmonic index 4
Takayuki Okuda, Wei-Hsuan Yu
We give a new upper bound of the cardinality of a set of equiangular lines in with a fixed angle for each satisfying certain conditions. Our techniques are based…
New bounds for equiangular lines
Alexander Barg, Wei-Hsuan Yu
A set of lines in is called equiangular if the angle between each pair of lines is the same. We address the question of determining the maximum size of equiangular l…
New bounds for spherical two-distance sets
Alexander Barg, Wei-Hsuan Yu
A spherical two-distance set is a finite collection of unit vectors in such that the set of distances between any two distinct vectors has cardinality two. We use the se…