$S_h$-sets and linear codes over ${\mathbb{F}}_q$

Viviana Carolina Guerrero Pantoja, John H. Castillo, Carlos Alberto Trujillo Solarte

Let $(G,+)$ be an Abelian group. Given $h\in {\mathbb{Z}}^{+}$, a non-empty subset $A$ of $G$ is called an $S_h$-set if all the sums of $h$ distinct elements of $A$ are different. We e…