P. Boyvalenkov

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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…

On T-avoiding spherical codes and designs in R32

Energy of codes with forbidden distances in 48 dimensions

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