Some results on caps and codes related to orthogonal Grassmannians — a preview

In this note we offer a short summary of some recent results, to be contained in a forthcoming paper [4], on projective caps and linear error correcting codes arising from the Grassmann embedding εgr k of an orthogonal Grassmannian ∆k . More precisely, we consider the codes arising from the projective system determined by εgr k (∆k ) and determine some of their parameters. We also investigate special sets of points of ∆k which are met by any line of ∆k in at most 2 points proving that their image under the Grassmann embedding is a projective cap

Some results on caps and codes related to orthogonal Grassmannians --- a preview

In this note we offer a short summary of some recent results, to be contained in a forthcoming paper \cite{CG}, on projective caps and linear error correcting codes arising from the Grassmann embedding $\varepsilon_k^{gr}$ of an orthogonal Grassmannian $\Delta_k.$ More precisely, we consider the codes arising from the projective system determined by $\varepsilon_k^{gr}(\Delta_k)$ and determine some of their parameters. We also investigate special sets of points of $\Delta_k$ which are met by any line of $\Delta_k$ in at most $2$ points proving that their image under the Grassmann embedding is a projective cap

Some results on caps and codes related to orthogonal Grassmannians — a preview

In this note we offer a short summary of some recent results, to be contained in a forthcoming paper [4], on projective caps and linear error correcting codes arising from the Grassmann embedding εgr k of an orthogonal Grassmannian ∆k . More precisely, we consider the codes arising from the projective system determined by εgr k (∆k ) and determine some of their parameters. We also investigate special sets of points of ∆k which are met by any line of ∆k in at most 2 points proving that their image under the Grassmann embedding is a projective cap

Some results on caps and codes related to orthogonal Grassmannians -a preview

Abstract In this note we offer a short summary of some recent results, to be contained in a forthcoming pape