D. Cherkashin

collaborators

2 papers

math.CO2026

Universal optimality of $T$ -avoiding spherical codes and designs

P. G. Boyvalenkov, D. D. Cherkashin, P. D. Dragnev

Given an open set $T \subset [- 1, 1)$ , we introduce the concepts of $T$ -avoiding spherical codes and designs, that is, spherical codes that have no inner products in the set $T$ . We…

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…

Universal optimality of T-avoiding spherical codes and designs

On T-avoiding spherical codes and designs in R32

Universal optimality of $T$ -avoiding spherical codes and designs

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