New bounds on Borsuk's problem in $\ell_p$-spaces

In 2013, Andriy Bondarenko constructed a two-distance set on the unit sphere $S^{64} \subset \mathbb{R}^{65}$, consisting of 416 points that cannot be partitioned into 83 parts of smaller diameter. In this paper, we show that this construction works not only for the Euclidean space but for all $\ell_p$-spaces.