A criterion for determining whether multiple shells support a $t$-design
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866917956335697920 |
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| author | Awada, Madoka Ishikawa, Reina Miezaki, Tsuyoshi Tanaka, Yuuho |
| author_facet | Awada, Madoka Ishikawa, Reina Miezaki, Tsuyoshi Tanaka, Yuuho |
| contents | In this paper, we provide a criterion for determining whether multiple shells support a $t$-design. We construct as a corollary an infinite series of $2$-designs using power residue codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15856 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A criterion for determining whether multiple shells support a $t$-design Awada, Madoka Ishikawa, Reina Miezaki, Tsuyoshi Tanaka, Yuuho Combinatorics Information Theory Group Theory Number Theory Primary 94B05, Secondary 05B05 In this paper, we provide a criterion for determining whether multiple shells support a $t$-design. We construct as a corollary an infinite series of $2$-designs using power residue codes. |
| title | A criterion for determining whether multiple shells support a $t$-design |
| topic | Combinatorics Information Theory Group Theory Number Theory Primary 94B05, Secondary 05B05 |
| url | https://arxiv.org/abs/2310.15856 |