24 citations · 79 across the 31 of their papers we have counts for
3 papers · 2 filters
Log-optimal (d+2)-configurations in d-dimensions
Peter D. Dragnev, Oleg R. Musin
We enumerate and classify all stationary logarithmic configurations of d+2 points on the unit (d-1)-sphere in d-dimensions. In particular, we show that the logarithmic energy attai…
Upper bounds for energies of spherical codes of given cardinality and separation
Peter Boyvalenkov, Peter Dragnev, Douglas Hardin +2
We introduce a linear programming framework for obtaining upper bounds for the potential energy of spherical codes of fixed cardinality and minimum distance. Using Hermite interpol…
Universal bounds for spherical codes: the Levenshtein framework lifted
Peter Boyvalenkov, Peter Dragnev, Douglas Hardin +2
Based on the Delsarte-Yudin linear programming approach, we extend Levenshtein's framework to obtain lower bounds for the minimum -energy of spherical codes of prescribed dimens…