2 problems

Five-valued conjecture. If either $d_1+d_2\geq 5$, or $d_1+d_2=3$ and $p^n\equiv 11\pmod{12}$, then the Weil spectrum over $L$ is at least five-valued. In the first case its five v…

Tu et al.'s conjecture. The polynomial $g(x)$ is a permutation polynomial over $\mathbb{F}_{2^{2m}}$. This conjecture concerns permutation trinomials over finite fields of characte…