Covering Radius of Matrix Codes Endowed with the Rank Metric

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dc.contributor.author Byrne, Eimear
dc.contributor.author Ravagnani, Alberto
dc.date.accessioned 2017-10-10T11:38:55Z
dc.date.available 2017-10-10T11:38:55Z
dc.date.copyright 2017 Society for Industrial and Applied Mathematics en
dc.date.issued 2017-05-23
dc.identifier.citation SIAM Journal on Discrete Mathematics en
dc.identifier.uri http://hdl.handle.net/10197/8999
dc.description.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. en
dc.language.iso en en
dc.publisher Society for Industrial and Applied Mathematics en
dc.subject Rank metric code en
dc.subject Covering radius en
dc.subject Rank distance distribution en
dc.subject Rank coset weights en
dc.subject External distance bound en
dc.subject Dual distance bound en
dc.subject Initial set bound en
dc.title Covering Radius of Matrix Codes Endowed with the Rank Metric en
dc.type Journal Article en
dc.internal.authorcontactother ebyrne@ucd.ie
dc.status Peer reviewed en
dc.identifier.volume 31 en
dc.identifier.issue 2 en
dc.identifier.startpage 927 en
dc.identifier.endpage 944 en
dc.identifier.doi 10.1137/16M1091769
dc.neeo.contributor Byrne|Eimear|aut|
dc.neeo.contributor Ravagnani|Alberto|aut|
dc.description.othersponsorship Swiss National Science Foundation en
dc.internal.rmsid 726664130
dc.date.updated 2017-05-24T11:37:15Z


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