  Using the overlap-Dirac operator proposed by Neuberger, we have computed in
lattice QCD the one-loop renormalization factors of ten operators which measure
the lowest two moments of unpolarized and polarized non-singlet quark
distributions. These factors are necessary to extract physical numbers from
Monte Carlo simulations made with overlap fermions.
  An exact chiral symmetry is maintained in all our results, and the
renormalization constants of corresponding unpolarized and polarized operators
which differ by a $\gamma_5$ matrix have the same value. We have considered two
lattice representations for each continuum operator. The computations have been
carried out using the symbolic language FORM, in a general covariant gauge. In
some simple cases they have also been checked by hand.
