  We consider the boomerang uniformity of an infinite class of (locally-APN)
power maps and show that its boomerang uniformity over the finite field
$\F_{2^n}$ is $2$ and $4$, when $n \equiv 0 \pmod 4$ and $n \equiv 2 \pmod 4$,
respectively. As a consequence, we show that for this class of power maps, the
differential uniformity is strictly greater than its boomerang uniformity.
