  A version of the $\mbox{SU(3)}_L\otimes \mbox{U(1)}_N$ electroweak theory in
which there are right-handed neutrino currents is reconsidered in detail. We
argue that in order to have a result consistent with low-energy one, the
right-handed neutrino component must be treated as correction instead of an
equivalent spin state. The data from the $Z$-decay allow us to fix the limit
for $\phi$ as $-0.00285 \leq \phi \leq 0.00018$. From the neutrino neutral
current scattering, we estimate a bound for the new neutral gauge boson $Z^2$
mass in the range of 400 GeV. A bound for the new charged and neutral
(non-Hermitian) gauge bosons $Y^{\pm}, X^o$ is also obtained from
symmetry-breaking hierarchy.
