  We derive and solve the compositeness condition for the SU(N_c) gauge boson
coupling with N_s scalar fields at the next-to-leading order in 1/N_s and the
leading order in ln(\Lambda^2) (\Lambda is the compositeness scale). It turns
out that the argument of gauge-boson compositeness (with a large \Lambda) is
successful only when N_s/N_c>22, in which the asymptotic freedom fails, as is
in the previously investigated case with fermionic matter.
