p-adic Delsarte-Goethals-Seidel-Kabatianskii-Levenshtein-Pfender Bound
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917947902001152 |
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| author | Krishna, K. Mahesh |
| author_facet | Krishna, K. Mahesh |
| contents | We introduce the notion of p-adic spherical codes (in particular, p-adic kissing number problem). We show that the one-line proof for a variant of the Delsarte-Goethals-Seidel-Kabatianskii-Levenshtein upper bound for spherical codes, obtained by Pfender \textit{[J. Combin. Theory Ser. A, 2007]}, extends to p-adic Hilbert spaces. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_05654 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | p-adic Delsarte-Goethals-Seidel-Kabatianskii-Levenshtein-Pfender Bound Krishna, K. Mahesh Number Theory Combinatorics Optimization and Control 52C17, 12J25, 46S10, 11D88 We introduce the notion of p-adic spherical codes (in particular, p-adic kissing number problem). We show that the one-line proof for a variant of the Delsarte-Goethals-Seidel-Kabatianskii-Levenshtein upper bound for spherical codes, obtained by Pfender \textit{[J. Combin. Theory Ser. A, 2007]}, extends to p-adic Hilbert spaces. |
| title | p-adic Delsarte-Goethals-Seidel-Kabatianskii-Levenshtein-Pfender Bound |
| topic | Number Theory Combinatorics Optimization and Control 52C17, 12J25, 46S10, 11D88 |
| url | https://arxiv.org/abs/2503.05654 |