P. Boyvalenkov

collaborators

3 papers

math.CO2025

On $T$ -avoiding spherical codes and designs in $R^{32}$

P. Boyvalenkov, D. Cherkashin, P. Dragnev +2

In this article, we show that the minimal vectors of the extremal even unimodular lattices in $R^{32}$ are $T$ -avoiding universally optimal for suitable sets $T$ . Moreover…

math.CO2024

Energy of codes with forbidden distances in 48 dimensions

P. Boyvalenkov, P. Dragnev

We prove the universal optimality of four remarkable spherical 11-designs in 48 dimensions either among all antipodal codes, or all spherical 3-designs, whose inner-products avoid…

math.MG2024

Bounds on energy and potentials of discrete measures on the sphere

S. Borodachov, P. Boyvalenkov, P. Dragnev +3

We establish upper and lower universal bounds for potentials of weighted designs on the sphere $S^{n - 1}$ that depend only on quadrature nodes and weights derived from the…

On T-avoiding spherical codes and designs in R32

Energy of codes with forbidden distances in 48 dimensions

Bounds on energy and potentials of discrete measures on the sphere

On $T$ -avoiding spherical codes and designs in $R^{32}$