The $L$-polynomial of hyperelliptic function fields and its applications

Peter Jaehyun Cho, Jinjoo Yoo

Let $\ell$ be an odd prime, $q$ an odd prime power such that $q\not\equiv 0(\mathrm{mod}\ell )$, and $m$ the order of $q$ in $\F_\ell^\times$. We propose an explicit $L$-polynomial of hyp…