24 citations · 79 across the 31 of their papers we have counts for
5 papers · 1 filter
Energy bounds for codes and designs in Hamming spaces
Peter G. Boyvalenkov, Peter D. Dragnev, Douglas P. Hardin +2
We obtain universal bounds on the energy of codes and for designs in Hamming spaces. Our bounds hold for a large class of potential functions, allow unified treatment, and can be v…
Universal upper and lower bounds on energy of spherical designs
P. G. Boyvalenkov, P. D. Dragnev, D. P. Hardin +2
Linear programming (polynomial) techniques are used to obtain lower and upper bounds for the potential energy of spherical designs. This approach gives unified bounds that are vali…
Minimum Riesz energy problems for a condenser with "touching plates"
P. D. Dragnev, D. Hardin, E. B. Saff +1
Minimum Riesz energy problems in the presence of an external field are analyzed for a condenser with touching plates. We obtain sufficient and/or necessary conditions for the solva…
Log-optimal configurations on the sphere
P. D. Dragnev
In this article we consider the distribution of points on the unit sphere in interacting via logarithmic potential. A characterization theorem…
Universal lower bounds for potential energy of spherical codes
P. G. Boyvalenkov, P. D. Dragnev, D. P. Hardin +2
We derive and investigate lower bounds for the potential energy of finite spherical point sets (spherical codes). Our bounds are optimal in the following sense -- they cannot be im…