Additive Rank Metric Codes

被引：32

作者：

Otal, Kamil ^{[1
]}

Ozbudak, Ferruh ^{[1
]}

机构：

[1] Middle East Tech Univ, Inst Appl Math, Dept Math, TR-06800 Ankara, Turkey

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2017年 / 63卷 / 01期

关键词：

Rank metric codes; maximum rank distance (MRD) codes; generalized twisted Gabidulin codes; random network coding; DISTANCE CODES; FERRERS DIAGRAMS;

D O I：

10.1109/TIT.2016.2622277

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：164 / 168

页数：5

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