Covering Radius of Matrix Codes Endowed with the Rank Metric
Files in This Item:
File | Size | Format | |
---|---|---|---|
Download | final_SIAM.pdf | 252.84 kB | Adobe PDF |
Title: | Covering Radius of Matrix Codes Endowed with the Rank Metric | Authors: | Byrne, Eimear; Ravagnani, Alberto | Permanent link: | http://hdl.handle.net/10197/8999 | Date: | 23-May-2017 | Online since: | 2017-10-10T11:38:55Z | 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. | Funding Details: | Swiss National Science Foundation | 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 code; Covering radius; Rank distance distribution; Rank coset weights; External distance bound; Dual distance bound; Initial set bound | DOI: | 10.1137/16M1091769 | Language: | en | Status of Item: | Peer reviewed | This item is made available under a Creative Commons License: | https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ |
Appears in Collections: | Mathematics and Statistics Research Collection |
Show full item record
SCOPUSTM
Citations
50
7
Last Week
0
0
Last month
checked on Sep 11, 2020
Page view(s)
996
Last Week
2
2
Last month
10
10
checked on Jul 2, 2022
Download(s)
251
checked on Jul 2, 2022
Google ScholarTM
Check
Altmetric
If you are a publisher or author and have copyright concerns for any item, please email research.repository@ucd.ie and the item will be withdrawn immediately. The author or person responsible for depositing the article will be contacted within one business day.