等角线上的界及相关球码上的界
Bounds on equiangular lines and on related spherical codes
摘要：
一个$L$ -球形码是一组欧几里德单位向量，其成对内积属于集合$L$。我们表明，对于一个固定的$α,β>0$，任何$[-1,-β]\cup\{α\}$球形码的大小是在最线性的维度。特别地，这个界限适用于每两条线彼此成固定角度的线集合。
英文摘要：
An $L$-spherical code is a set of Euclidean unit vectors whose pairwise inner products belong to the set $L$. We show, for a fixed $α,β>0$, that the size of any $[-1,-β]\cup\{α\}$-spherical code is at most linear in the dimension. In particular, this bound applies to sets of lines such that every two are at a fixed angle to each another.
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