618 citations · 1.3k across the 65 of their papers we have counts for
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Bounds for the sum of distances of spherical sets of small size
Alexander Barg, Peter Boyvalenkov, Maya Stoyanova
We derive upper and lower bounds on the sum of distances of a spherical code of size in dimensions when The bounds are derived by specializing recent…
Bounds for discrepancies in the Hamming space
Alexander Barg, Maxim Skriganov
We derive bounds for the ball -discrepancies in the Hamming space for and . Sharp estimates of discrepancies have been obtained for many spaces such as…
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…
Codes in spherical caps
Alexander Barg, Oleg R. Musin
We consider bounds on codes in spherical caps and related problems in geometry and coding theory. An extension of the Delsarte method is presented that relates upper bounds on the…