Covering Radius of Matrix Codes Endowed with the Rank Metric

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Title: Covering Radius of Matrix Codes Endowed with the Rank Metric
Authors: Byrne, Eimear
Ravagnani, Alberto
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Date: 23-May-2017
Abstract: In this paper we study properties and invariants of matrix codes endowed with the rank metric and relate them to the covering radius. We introduce new tools for the analysis of rank-metric codes, such as puncturing and shortening constructions. We give upper bounds on the covering radius of a code by applying different combinatorial methods. The various bounds are then applied to the classes of maximal-rank-distance and quasi-maximal-rank-distance codes.
Type of material: Journal Article
Publisher: Society for Industrial and Applied Mathematics
Journal: SIAM Journal on Discrete Mathematics
Volume: 31
Issue: 2
Start page: 927
End page: 944
Copyright (published version): 2017 Society for Industrial and Applied Mathematics
Keywords: Rank metric codeCovering radiusRank distance distributionRank coset weightsExternal distance boundDual distance boundInitial set bound
DOI: 10.1137/16M1091769
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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