A set K of type (m, m+q)_ 2 in the projective space PG(3, q) is a set of points such that every plane meets K in either m or m+q points and, furthermore, there are both planes meeting K in m points and planes meeting K in m+q points. The classical example of such a set is a partial spread of size m; however, several other families are known. In this paper we study some properties of these sets and their classification for small parameters.
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