  We present the results of a calculation of deep inelastic electron-photon
scattering at a linear collider for very high virtuality of the intermediate
gauge boson up to NLO in perturbative QCD. The real photon is produced
unpolarized via the Compton back scattering of laser light of the incoming
beam. For $Q^2$ values close to the masses squared of the Z and W gauge bosons,
the deep inelastic electron-photon scattering process receives important
contributions not only from virtual photon exchange but also from the exchange
of a Z-boson and a W-boson. We find that the total cross section for center of
mass energies above $500 \rm{GeV}$ is at least of ${\cal O}(pb)$ and has an
important charged current contribution.
