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arXiv · 2503.05654

p-adic Delsarte-Goethals-Seidel-Kabatianskii-Levenshtein-Pfender Bound

K. Mahesh Krishna
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Abstract

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.

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K. Mahesh Krishna. 2025-02-22. p-adic Delsarte-Goethals-Seidel-Kabatianskii-Levenshtein-Pfender Bound. https://arxiv.org/abs/2503.05654

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