Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2606.01376 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914621623894016 |
|---|---|
| author | Arman, Andrii Bondarenko, Andriy Prymak, Andriy Radchenko, Danylo |
| author_facet | Arman, Andrii Bondarenko, Andriy Prymak, Andriy Radchenko, Danylo |
| contents | For every $d\geq1$ we give an explicit equal-weight spherical $5$-design in $\mathbb{S}^{d-1}\subset\mathbb{R}^d$ with at most $72d^2$ points. Our approach utilizes recent construction of complex projective $2$-designs based on Sidon sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01376 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A construction of spherical $5$-designs with $O(d^2)$ points Arman, Andrii Bondarenko, Andriy Prymak, Andriy Radchenko, Danylo Combinatorics Primary 05B30, Secondary 41A55, 11B13 For every $d\geq1$ we give an explicit equal-weight spherical $5$-design in $\mathbb{S}^{d-1}\subset\mathbb{R}^d$ with at most $72d^2$ points. Our approach utilizes recent construction of complex projective $2$-designs based on Sidon sets. |
| title | A construction of spherical $5$-designs with $O(d^2)$ points |
| topic | Combinatorics Primary 05B30, Secondary 41A55, 11B13 |
| url | https://arxiv.org/abs/2606.01376 |