  Let $V,W$ be representations of a cyclic group $G$ of prime order $p$ over a
field $k$ of characteristic $p$. The module of covariants $k[V,W]^G$ is the set
of $G$-equivariant polynomial maps $V \rightarrow W$, and is a module over
$k[V]^G$. We give a formula for the Noether bound $\beta(k[V,W]^G,k[V]^G)$,
i.e. the minimal degree $d$ such that $k[V,W]^G$ is generated over $k[V]^G$ by
elements of degree at most $d$.
