  We demonstrate gate-tunable giant field-dependent nonreciprocal transport
(magnetochiral anisotropy) in a noncentrosymmetric superconductor $T_{\rm
d}$-MoTe$_2$ in the thin limit. Giant magnetochiral anisotropy (MCA) with a
rectification coefficient $\gamma$ = $3.1 \times 10^6$ T$^{-1}$ A$^{-1}$, is
observed at 230 mK, below the superconducting transition temperature ($T_c$).
This is one of the largest values reported so far and is likely attributed to
the reduced symmetry of the crystal structure. The temperature dependence of
$\gamma$ indicates that the ratchet-like motion of magnetic vortices is the
origin of the MCA, as supported by our theoretical model. For bilayer $T_{\rm
d}$-MoTe$_2$, we successfully perform gate control of the MCA and realize
threefold modulation of $\gamma$. Our experimental results provide a new route
to realizing electrically controllable superconducting rectification devices in
a single material.
