21 citations · 32 across the 13 of their papers we have counts for
4 papers · 1 filter
Upper Energy Bounds for Spherical Designs of Relatively Small Cardinalities
Peter Boyvalenkov, Konstantin Delchev, Matthieu Jourdain
We derive upper bounds for the potential energy of spherical designs of cardinality close to the Delsarte-Goethals-Seidel bound. These bounds are obtained by linear programming wit…
Energy Bounds for Codes in Polynomial Metric Spaces
Peter Boyvalenkov, Peter Dragnev, Douglas Hardin +2
In this article we present a unified treatment for obtaining bounds on the potential energy of codes in the general context of polynomial metric spaces (PM-spaces). The lower bound…
On spherical codes with inner products in a prescribed interval
P. G. Boyvalenkov, P. D. Dragnev, D. P. Hardin +2
We develop a framework for obtaining linear programming bounds for spherical codes whose inner products belong to a prescribed subinterval of . An intricate rela…
Refinements of Levenshtein bounds in -ary Hamming spaces
Peter Boyvalenkov, Danyo Danev, Maya Stoyanova
We develop refinements of the Levenshtein bound in -ary Hamming spaces by taking into account the discrete nature of the distances versus the continuous behavior of certain para…