Units of hyperelliptic curves over ${\mathbb{F}}_2$

Justin Chen, Vishal Muthuvel

We study unit groups of rings of the form ${\mathbb{F}}_2[x,y]/(y^2+gy+h)$, for $g,h\in {\mathbb{F}}_2[x]$ -- in particular, the question of (non)triviality of such unit groups.…