Abstract
AbstractLet be an ‐dimensional vector space over and is any set of ‐dimensional subspaces of . We construct two incidence structures and using subspaces from . The points are subspaces from . The blocks of are indexed by all hyperplanes of , while the blocks of are indexed by all subspaces of dimension 1. We show that and are dual in the sense that their incidence matrices are dependent, one can be calculated from the other. Additionally, if is a ‐design we prove new matrix equations for incidence matrices of and .
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