Sidon sets and 2-caps in ${\mathbb{F}}_3^n$

Yixuan Huang, Michael Tait, Robert Won

For each natural number $d$, we introduce the concept of a $d$-cap in ${\mathbb{F}}_3^n$. A subset of ${\mathbb{F}}_3^n$ is called a $d$-cap if, for each $k=1,2,\dots ,d$, no $k+2$…