Implementing line-Hermitian Grassmann codes
نویسندگان
چکیده
منابع مشابه
Implementing Line-Hermitian Grassmann codes
In [6] we introduced line Hermitian Grassmann codes and determined their parameters. The aim of this paper is to present (in the spirit of [4]) an algorithm for the point enumerator of a line Hermitian Grassmannian which can be usefully applied to get efficient encoders, decoders and error correction algorithms for the aforementioned codes.
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In this paper we introduce and study line Hermitian Grassmann codes as those subcodes of the Grassmann codes associated to the $2$-Grassmannian of a Hermitian polar space defined over a finite field of square order. In particular, we determine their parameters and characterize the words of minimum weight.
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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: Linear Algebra and its Applications
سال: 2019
ISSN: 0024-3795
DOI: 10.1016/j.laa.2019.06.020