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Communities & Collections
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Additive Rank Metric Codes
Date
2017-01-01
Author
Otal, KAMİL
Özbudak, Ferruh
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We give an infinite family of maximum rank distance (MRD) codes, which covers properly the largest known linear MRD code family. Our family contains infinite families of non-linear MRD codes, which are the first non-linear examples for most of the parameters. We also give explicit examples and a table that demonstrates the proportion of linear and non-linear families for some small parameters.
Subject Keywords
Rank metric codes
,
Maximum rank distance (MRD) codes
,
Generalized twisted Gabidulin codes
,
Generalized twisted Gabidulin codes
URI
https://hdl.handle.net/11511/49198
Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
DOI
https://doi.org/10.1109/tit.2016.2622277
Collections
Department of Mathematics, Article