A spectrum result on maximal partial ovoids of the generalized quadrangle Q(4, q), q even

In this article, we prove a spectrum result on maximal partial ovoids of the generalized quadrangle Q(4, q), q odd, i.e. for every integer k in the interval [a, b], where a ≈ 3 5 q and b ≈ 9 10 q, there exists a maximal partial ovoid of Q(4, q), q odd, of size k. Since the generalized quadrangle W(q) defined by a symplectic polarity of PG(3, q) is isomorphic to the dual of the generalized quadrangle Q(4, q), the same result is obtained for maximal partial spreads of W(q), q odd. This article concludes a series of articles on spectrum results on maximal partial ovoids of Q(4, q), on spectrum results on maximal partial spreads of W(q), on spectrum results on maximal partial 1-systems of Q(5, q), and on spectrum results on minimal blocking sets with respect to the planes of PG(3, q). We conclude this article with the tables summarizing the results.