Additive Rank Metric Codes

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Otal K., ÖZBUDAK F.

IEEE TRANSACTIONS ON INFORMATION THEORY, vol.63, no.1, pp.164-168, 2017 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 63 Issue: 1
• Publication Date: 2017
• Doi Number: 10.1109/tit.2016.2622277
• Journal Name: IEEE TRANSACTIONS ON INFORMATION THEORY
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.164-168
• Keywords: Rank metric codes, maximum rank distance (MRD) codes, generalized twisted Gabidulin codes, random network coding, DISTANCE CODES, FERRERS DIAGRAMS
• Middle East Technical University Affiliated: Yes

Abstract

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.