Additive Rank Metric Codes

Otal K., ÖZBUDAK F.

IEEE TRANSACTIONS ON INFORMATION THEORY, cilt.63, sa.1, ss.164-168, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 63 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1109/tit.2016.2622277
  • Dergi Adı: IEEE TRANSACTIONS ON INFORMATION THEORY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.164-168
  • Anahtar Kelimeler: Rank metric codes, maximum rank distance (MRD) codes, generalized twisted Gabidulin codes, random network coding, DISTANCE CODES, FERRERS DIAGRAMS
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.