An inverse problem for finite Sidon sets

Abstract

Here is a direct problem for Sidon sets: Given a linear form $\phi =c_1{x}_1+\cdots +c_h{x}_h$, construct and describe sets $A$ that are Sidon sets for $\phi$. This paper considers an inverse problem for Sidon sets: Given a set $A$, determine the linear forms $\phi$ such that $A$ is a Sidon set for $\phi$.

7 pages; additional open problems and updated references