  We give an update on our lattice determination of r_0 LambdaMS for different
Nf. Our calculations employ the strong coupling constant in the minimal MOM
scheme for QCD in Landau gauge, and we report here on our progress towards a
quantitative understanding of the intrinsic lattice discretization artifacts at
large momenta. This is important for a high-precision analysis, in particular
for the unquenched calculations for which the access to small lattice spacings
is restricted by the available gauge configurations.
