Antipodality of spherical designs with odd harmonic indices
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914233485099008 |
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| author | Misawa, Ryutaro Munemasa, Akihiro Sawa, Masanori |
| author_facet | Misawa, Ryutaro Munemasa, Akihiro Sawa, Masanori |
| contents | We determine the smallest size of a non-antipodal spherical design with harmonic indices $\{1,3,\dots,2m-1\}$ to be $2m+1$, where $m$ is a positive integer. This is achieved by proving an analogous result for interval designs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09471 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Antipodality of spherical designs with odd harmonic indices Misawa, Ryutaro Munemasa, Akihiro Sawa, Masanori Combinatorics Metric Geometry 65D32, 05E99 We determine the smallest size of a non-antipodal spherical design with harmonic indices $\{1,3,\dots,2m-1\}$ to be $2m+1$, where $m$ is a positive integer. This is achieved by proving an analogous result for interval designs. |
| title | Antipodality of spherical designs with odd harmonic indices |
| topic | Combinatorics Metric Geometry 65D32, 05E99 |
| url | https://arxiv.org/abs/2410.09471 |