  We construct the lowest higher spin-2 current in terms of the spin-1 and the
spin-1/2 currents living in the orthogonal SO(N+4)/[SO(N) x SO(4)] Wolf space
coset theory for general N. The remaining fifteen higher spin currents are
determined. We obtain the three-point functions of bosonic (higher) spin
currents with two scalars for finite N and k (the level of the spin-1 current).
By multiplying SU(2) x U(1) into the above Wolf space coset theory, the other
fifteen higher spin currents together with the above lowest higher spin-2
current are realized in the extension of the large N=4 linear superconformal
algebra. Similarly, the three-point functions of bosonic (higher) spin currents
with two scalars for finite N and k are obtained. Under the large N 't Hooft
limit, the two types of three-point functions in the nonlinear and linear
versions coincide as in the unitary coset theory found previously.
