Additive Rank Metric Codes
IEEE TRANSACTIONS ON INFORMATION THEORY, cilt.63, sa.1, ss.164-168, 2017 (SCI-Expanded, Scopus)
- 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.