Some new two-character sets in PG(5,q2)(5,q2) and a distance-2 ovoid in the generalized hexagon H(4)(4)

In this paper, we construct a new infinite class of two-character sets in PG(5,q2)PG(5,q2) and determine their automorphism groups. From this construction arise new infinite classes of two-weight codes and strongly regular graphs, and a new distance-2 ovoid of the split Cayley hexagon of order 4.