  It is shown that in the modified axial gauge version of canonically quantized
QCD$_{3+1}$ on a torus only nongeneric gauge field configurations allow for
large gauge transformations. For the other configurations, the gauge is fixed
completely. Such configurations carry nonzero total magnetic abelian fluxes,
correspond to magnetic vortices parallel to the coordinate axes and are
incorporated using both singular gauge fields and a change of boundary
conditions.
