Proofs of two conjectures on ternary weakly regular bent functions

Tor Helleseth, Henk D. L. Hollmann, Alexander Kholosha +2

We study ternary monomial functions of the form $f(x)=\Tr_n(ax^d)$, where $x\in \Ff_{3^n}$ and $\Tr_n: \Ff_{3^n}\to \Ff_3$ is the absolute trace function. Using a lemma of Hou \cit…