  By studying the ${\cal N}=1$ holographic minimal model at the "critical"
level, we obtain the lowest ${\cal N}=2$ higher spin multiplet of spins
$(\frac{3}{2}, 2, 2, \frac{5}{2})$ in terms of two adjoint fermion types for
generic $N$. We subsequently determine operator product expansions between the
lowest and second lowest (${\cal N}=2$) higher spin multiplet of spins $(3,
\frac{7}{2}, \frac{7}{2}, 4)$, and the corresponding Vasiliev's oscillator
formalism with matrix generalization on $AdS_3$ higher spin theory in the
extension of $OSp(2|2)$ superconformal algebra. Under the large $N$ limit
(equivalent to large central charge) in the extension of ${\cal N}=2$
superconformal algebra in two dimensions, operator product expansions provide
asymptotic symmetry algebra in $AdS_3$ higher spin theory.
