  We compute the $RO(G)$-graded equivariant algebraic $K$-groups of a finite
field with an action by its Galois group $G$. Specifically, we show these
$K$-groups split as the sum of an explicitly computable term and the
well-studied $RO(G)$-graded coefficient groups of the equivariant
Eilenberg--MacLane spectrum $H\underline{\mathbb Z}$. Our comparison between
the equivariant $K$-theory spectrum and $H\underline{\mathbb Z}$ further shows
they share the same Tate spectra and geometric fixed point spectra. In the case
where $G$ has prime order, we provide an explicit presentation of the
equivariant $K$-groups.
