Determining Sidon Polynomials on Sidon Sets over ${\mathbb{F}}_q\times {\mathbb{F}}_q$

Muhammad Afifurrahman, Aleams Barra

Let $p$ be a prime, and $q=p^n$ be a prime power. In his works on Sidon sets over ${\mathbb{F}}_q\times {\mathbb{F}}_q$, Cilleruelo conjectured about polynomials that could generate $q…