  We calculate the massive Wilson coefficients for the heavy flavor
contributions to the non-singlet charged current deep-inelastic scattering
structure function $xF_3^{W^+}(x,Q^2)+xF_3^{W^-}(x,Q^2)$ in the asymptotic
region $Q^2 \gg m^2$ to 3-loop order in Quantum Chromodynamics (QCD) at general
values of the Mellin variable $N$ and the momentum fraction $x$. Besides the
heavy quark pair production also the single heavy flavor excitation $s
\rightarrow c$ contributes. Numerical results are presented for the charm quark
contributions and consequences on the Gross-Llewellyn Smith sum rule are
discussed.
