New Sphere Packings from the Antipode Construction
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908350204084224 |
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| author | Chen, Ruitao Hu, Jiachen Li, Binghui Wang, Liwei Wu, Tianyi |
| author_facet | Chen, Ruitao Hu, Jiachen Li, Binghui Wang, Liwei Wu, Tianyi |
| contents | In this note, we construct non-lattice sphere packings in dimensions $19$, $20$, $21$, $23$, $44$, $45$, and $47$, demonstrating record densities that surpass all previously documented results in these dimensions. The construction involves applying the antipode method to suboptimal cross-sections of $Λ_{24}$ and $P_{48p}$ respectively in those dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_02394 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New Sphere Packings from the Antipode Construction Chen, Ruitao Hu, Jiachen Li, Binghui Wang, Liwei Wu, Tianyi Metric Geometry In this note, we construct non-lattice sphere packings in dimensions $19$, $20$, $21$, $23$, $44$, $45$, and $47$, demonstrating record densities that surpass all previously documented results in these dimensions. The construction involves applying the antipode method to suboptimal cross-sections of $Λ_{24}$ and $P_{48p}$ respectively in those dimensions. |
| title | New Sphere Packings from the Antipode Construction |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2505.02394 |