  Lattice fermions obeying the Ginsparg-Wilson relation do correctly represent
the physical properties related to chirality. This can be achieved by local
fermions, which involve an infinite number of couplings, however. For practical
purposes, it is useful to first construct approximate Ginsparg-Wilson fermions
within a short range. We report on a successful construction in QCD at \beta
=6. The good quality of the approximation is observed from the spectrum, which
is situated close to a Ginsparg-Wilson circle. These fermions also provide an
excellent approximation to rotational symmetry and they are promising for a
good scaling, since they arise from the perfect action framework. Their
insertion into the overlap formula renders the Ginsparg-Wilson relation exact.
It leads to an improved overlap fermion with a high level of locality. This
insertion is statistically on safe grounds at about \beta > 5.6.
