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