Large sum-free sets in finite vector spaces I

Christian Reiher, Sofia Zotova

Let $p$ be a prime number with $p\equiv 2(\mathrm{mod}3)$ and let $n\ge 1$ be a dimension. It is known that a sum-free subset of ${\mathbb{F}}_p^n$ can have at most the size $\frac13(p+1)p…