We compute the one-loop lattice renormalization of the two-quark operators
<(psi)over bar>Gamma psi, where Gamma denotes the generic Dime matrix, for
the lattice formulation of QCD using the overlap-Dirac operator. We also st
udy the renormalization of quark bilinears which are more extended and have
better chiral properties. Finally. we present improved estimates of these
renormalization constants, coming from cactus resummation and from mean fie
ld perturbation theory. (C) 2000 Elsevier Science B.V. All rights reserved.