Enumerative Coding for Line Polar Grassmannians
نویسندگان
چکیده
Codes arising from Grassmannians have been widely investigated, both as generalization of Reed–Muller codes and for applications to network coding. Recently we introduced some new codes, arising from Polar Grassmannians, namely the set of all subspaces of a vector space F q which are totally singular with respect to a given non-degenerate quadratic form. The aim of the present paper is to present an efficient enumerative coding and decoding strategy for line polar Grassmann codes.
منابع مشابه
Enumerative coding for line polar Grassmannians with applications to codes
A k-polar Grassmannian is the geometry having as pointset the set of all k-dimensional subspaces of a vector space V which are totally isotropic for a given non-degenerate bilinear form μ defined on V. Hence it can be regarded as a subgeometry of the ordinary k-Grassmannian. In this paper we deal with orthogonal line Grassmannians and with symplectic line Grassmannians, i.e. we assume k = 2 and...
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عنوان ژورنال:
- CoRR
دوره abs/1412.5466 شماره
صفحات -
تاریخ انتشار 2014