Codes and caps from orthogonal Grassmannians

In this paper we investigate linear error correcting codes and
projective caps related to the Grassmann embedding of an
orthogonal Grassmannian. In particular, we determine some of
the parameters of the codes arising from the projective system
determined by such an embedding. We also study special sets of points of
which are met by any line of k in subsets of cardinality at most 2 and
we show that their image under the Grassmann embedding is
a projective cap.