  We demonstrate a ten-fold resonant enhancement of magneto-optical effects in
perpendicularly magnetized $[$Co/Pt$]_{N}$ nanodots mediated by the excitation
of optimized plasmon modes. Two magnetoplasmonic systems are considered; square
arrays of $[$Co/Pt$]_{N}$ nanodots on glass and identical arrays on a Au/SiO2
bilayer. On glass, the optical and magneto-optical spectra of the nanodot
arrays are dominated by the excitation of a surface lattice resonance (SLR),
whereas on Au/SiO${}_{2}$, a narrow surface plasmon polariton (SPP) resonance
tailors the spectra further. Both the SLR and SPP modes are magneto-optically
active leading to an enhancement of the Kerr angle. We detail the dependence of
optical and magneto-optical spectra on the number of Co/Pt bilayer repetitions,
the nanodot diameter, and the array period, offering design rules on how to
maximize and spectrally tune the magneto-optical response of perpendicularly
magnetized $[$Co/Pt$]_{N}$ nanodots.
