  We calculate theoretically the transverse magneto-optical Kerr effect (TMOKE)
in the periodically patterned waveguide made from a diluted magnetic
semiconductor. It is demonstrated that the TMOKE is resonantly enhanced when
the incident wave is in resonance with the bound state in continuum, arising
when the quality factor of the waveguide mode increases due to the far-field
interference. Our results uncover the potential of all-dielectric and
semiconductor nanostructures for resonant magneto-optics.
