Abstract
Abstract In this note we offer a short summary of some recent results, to be contained in a forthcoming paper [Cardinali, I., and L. Giuzzi, Caps and codes from orthogonal Grassmannians, submitted], on projective caps and linear error correcting codes arising from the Grassmann embedding e k g r of an orthogonal Grassmannian Δ k . More precisely, we consider the codes arising from the projective system determined by e k g r ( Δ k ) and determine some of their parameters. We also investigate special sets of points of Δ k which are met by any line of Δ k in at most 2 points proving that their image under the Grassmann embedding is a projective cap.
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