  Using the results of several quenched lattice simulations, we predict the
value of the strange and charm quark masses in the continuum at the
next-to-leading order, $m^{\overline{MS}}_s(\mu=2\,\, \rm{GeV})= (127 \pm
18)\,\, \rm{MeV}$ and $m^{\overline{MS}}_{ch}(\mu=2 \,\,\rm{GeV})=(1.47 \pm
0.28)\,\, \rm{GeV}$. The errors quoted above have been estimated by taking into
account the original statistical error of the lattice results and the
uncertainties coming from the matching of the lattice to the continuum theory.
A detailed presentation of the relevant formulae at the next-to-leading order
and a discussion of the main sources of errors is also presented.
