Codes and caps from orthogonal Grassmannians.

Abstract: 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 . We also study special sets of points of which are met by any line of in at most 2 points and we show that their image under the Grassmann embedding is a projective cap. [Copyright &y& Elsevier]