Additive Rank Metric Codes

Additive Rank Metric Codes
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DOI:
10.1109/tit.2016.2622277
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发表时间:
2017
影响因子:
2.5
通讯作者:
Kamil Otal;F. Özbudak
Kamil Otal;F. Özbudak
中科院分区:
计算机科学2区
文献类型:
--
作者:
Kamil Otal;F. Özbudak

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给出了一个最大秩距离(MRD)码的无限族,它恰当地覆盖了已知最大的线性MRD码族。我们的家庭包含无限的家庭的非线性MRD码,这是第一个非线性的例子,大多数的参数。我们还给出了明确的例子和一个表格,展示了一些小参数的线性和非线性家庭的比例。
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.