  We study high-order harmonic generation (HHG) from aligned molecules in
strong elliptically polarized laser fields numerically and analytically. Our
simulations show that the spectra and polarization of HHG depend strongly on
the molecular alignment and the laser ellipticity. In particular, for small
laser ellipticity, large ellipticity of harmonics with high intensity is
observed for parallel alignment, with forming a striking ellipticity hump
around the threshold. We show that the interplay of the molecular structure and
two-dimensional electron motion plays an important role here. This phenomenon
can be used to generate bright elliptically-polarized EUV pulses.
