Sidon set systems

Javier Cilleruelo, Oriol Serra, Maximilian Wötzel

A family $\mathcal{A}$ of $k$-subsets of $\{1,2,\dots ,N\}$ is a Sidon system if the sumsets $A+B$, $A,B\in \mathcal{A}$ are pairwise distinct. We show that the largest cardinalit…