  The new theoretical input to the analysis of the experimental data of the
CCFR collaboration for $F_3$ structure function of $\nu N$ deep inelastic
scattering is considered. This input comes from the next-to-next-to-leading
order corrections to the anomalous dimensions of the Mellin moments of the
$F_3$ structure function. The QCD scale $\Lambda_{\overline{MS}}^{(4)}$ is
extracted from higher-twist independent fits. The results obtained demonstrate
the minimization of the influence of perturbative QCD contributions to the
value of $\Lambda_{\overline{MS}}^{(4)}$
