论文标题
在3距离球形5设计上
On 3-distance spherical 5-designs
论文作者
论文摘要
受Bannai等人最近提出的猜想的启发。我们研究了球形代码，该代码恰好接受三个不同的距离，并且是球形5设计。计算和分析距离分布，我们提供了新的证明（由于Levenshtein的原因），即此类代码是最大的，并且排除了某些案例，以证明猜想的证明。
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.
