  A $k$-graph $\mathcal{G}$ is asymmetric if there does not exist an
automorphism on $\mathcal{G}$ other than the identity, and $\mathcal{G}$ is
called minimal asymmetric if it is asymmetric but every non-trivial induced
sub-hypergraph of $\mathcal{G}$ is non-asymmetric. Extending a result of Jiang
and Ne\v{s}et\v{r}il, we show that for every $k$-graph, $k\ge3$, there exist
infinitely many minimal asymmetric $k$-graphs which have maximum degree $2$ and
are linear. Further, we show that there are infinitely many $2$-regular
asymmetric $k$-graphs for $k\ge3$.
