Additive Rank Metric Codes


Otal K., ÖZBUDAK F.

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

  • 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.