Additive structures imply more distances in ${\mathbb{F}}_q^d$

Daewoong Cheong, Gennian Ge, Doowon Koh +3

For a set $E\subseteq {\mathbb{F}}_q^d$, the distance set is defined as $\Delta (E):=\{\Vert \mathbf{x}-\mathbf{y}\Vert :\mathbf{x},\mathbf{y}\in E\}$, where $\Vert \cdot \Vert$ denotes the stand…