منابع مشابه
Higher Weights of Affine Grassmann Codes and Their Duals
We consider the question of determining the higher weights or the generalized Hamming weights of affine Grassmann codes and their duals. Several initial as well as terminal higher weights of affine Grassmann codes of an arbitrary level are determined explicitly. In the case of duals of these codes, we give a formula for many initial as well as terminal higher weights. As a special case, we obta...
متن کاملConvexity on Affine Grassmann Manifolds
Since the parametrizing space for k-flats in R is the “affine Grassmannian”, G ′ k,d, whose points represent k-flats and whose topology is inherited from that of R in the natural way (a neighborhood of the k-flat spanned by points x0, . . . , xk in general position consisting of all k-flats spanned by points y0, . . . , yk with yi in a neighborhood of xi for each i), what we are asking is wheth...
متن کاملEmbeddings of Affine Grassmann Spaces
In this paper we prove that if a Grassmann space Δ = GrA(m,h,K) of the h–subspaces of an affine space A = AG(m,K) has an embedding e into a projective space PG(n,K′) over a skew–field K′, and e satisfies two suitable conditions (α) and (β), then K and K′ are isomorphic fields and Δ is, up to projections, an affine Grassmannian. Mathematics Subject Classification (2000). 51A45; 51M35.
متن کاملOn Polar Grassmann Codes
In this note we offer a short summary of the content of the lecture on polar Grassmann codes given at the Indian Intitute of Technology, Mumbai, during the International Conference on Algebraic Geometry and Coding Theory in December 2013. More precisely, we consider the codes arising from the projective system determined by the image ε k (∆k) of the Grassmann embedding ε gr k of an orthogonal G...
متن کاملAutomorphism groups of Grassmann codes
Article history: Received 9 May 2012 Revised 17 February 2013 Accepted 30 April 2013 Available online 14 May 2013 Communicated by Xiang-dong Hou MSC: 14M15 20B25 94B05 94B27
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2010
ISSN: 0018-9448,1557-9654
DOI: 10.1109/tit.2010.2048470