Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.23092 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914223261483008 |
|---|---|
| author | Boyvalenkov, P. Cherkashin, D. Dragnev, P. Yorgov, D. Yorgov, V. |
| author_facet | Boyvalenkov, P. Cherkashin, D. Dragnev, P. Yorgov, D. Yorgov, V. |
| contents | 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 $T$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23092 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On $T$-avoiding spherical codes and designs in $\mathbb{R}^{32}$ Boyvalenkov, P. Cherkashin, D. Dragnev, P. Yorgov, D. Yorgov, V. Combinatorics 05B30 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 $T$. |
| title | On $T$-avoiding spherical codes and designs in $\mathbb{R}^{32}$ |
| topic | Combinatorics 05B30 |
| url | https://arxiv.org/abs/2512.23092 |