arXiv · 2512.23092
On $T$-avoiding spherical codes and designs in $\mathbb{R}^{32}$
Abstract
In this article, we show that the minimal vectors of the extremal even unimodular lattices in $\mathbb{R}^{32}$ are $T$-avoiding universally optimal for suitable sets $T$. Moreover, they are minimal $T$-avoiding spherical designs and maximal $T$-avoiding codes for appropriate choices of $T$.
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P. Boyvalenkov, D. Cherkashin, P. Dragnev, D. Yorgov, V. Yorgov. 2025-12-28. On $T$-avoiding spherical codes and designs in $\mathbb{R}^{32}$. https://arxiv.org/abs/2512.23092
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