  Let $\mathbb F$ be a finite field and let $\mathcal A$ and $\mathcal B$ be
vector spaces of $\mathbb F$-valued continuous functions defined on locally
compact spaces $X$ and $Y$, respectively. We look at the representation of
linear bijections $H:\mathcal A\longrightarrow \mathcal B$ by continuous
functions $h:Y\longrightarrow X$ as weighted composition operators. In order to
do it, we extend the notion of Hamming metric to infinite spaces. Our main
result establishes that under some mild conditions, every Hamming isometry can
be represented as a weighted composition operator. Connections to coding theory
are also highlighted.
