Additive Rank Metric Codes

Date

2017-01-01

Author

Otal, KAMİL
Özbudak, Ferruh

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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

Collections

Department of Mathematics, Article