  A pair of planes, both projective or both affine, of the same order and on
the same pointset are orthogoval if each line of one plane intersects each line
of the other plane in at most two points. In this paper we prove new
constructions for sets of mutually orthogoval planes, both projective and
affine, and review known results that are equivalent to sets of more than two
mutually orthogoval planes. We also discuss the connection between sets of
mutually orthogoval planes and covering arrays.
