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arXiv · 2007.01895

On 3-distance spherical 5-designs

Peter Boyvalenkov·Navid Safaei
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Abstract

Inspired by a recently formulated conjecture by Bannai et al. we investigate spherical codes which admit exactly three different distances and are spherical 5-designs. Computing and analyzing distance distributions we provide new proof of the fact (due to Levenshtein) that such codes are maximal and rule out certain cases towards a proof of the conjecture.

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Peter Boyvalenkov, Navid Safaei. 2020-07-03. On 3-distance spherical 5-designs. https://arxiv.org/abs/2007.01895

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