An approach to the moments subset sum problem through systems of diagonal equations over finite fields

Juan Francisco Gottig, Mariana Pérez, Melina Privitelli

Let ${\mathbb{F}}_q$ be the finite field of $q$ elements, for a given subset $D\subset {\mathbb{F}}_q$, $m\in \mathbb{N}$, an integer $k\le |D|$ and $\mathbf{b}\in {\mathbb{F}}_q^m$…