On (Partial) unit memory codes based on Gabidulin codes

被引：0
|
作者：
A. Wachter
V. R. Sidorenko
M. Bossert
V. V. Zyablov
机构：
[1] Ulm University,Institute of Telecommunications and Applied Information Theory (TAIT)
[2] Russian Academy of Sciences,Kharkevich Institute for Information Transmission Problems
[3] Ulm University,Kharkevich Institute for Information Transmission Problems
[4] Russian Academy of Sciences,undefined
来源：
Problems of Information Transmission | 2011年 / 47卷
关键词：
Information Transmission; Network Code; Block Code; Convolutional Code; Constraint Length;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
(Partial) unit memory ((P)UM) codes provide a powerful possibility to construct convolutional codes based on block codes in order to achieve a high decoding performance. In this contribution, a construction based on Gabidulin codes is considered. This construction requires a modified rank metric, the so-called sum rank metric. For the sum rank metric, the free rank distance, extended row rank distance, and its slope are defined analogous to the extended row distance in the Hamming metric. Upper bounds for the free rank distance and slope of (P)UM codes in the sum rank metric are derived, and an explicit construction of (P)UM codes based on Gabidulin codes is given.
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页码：117 / 129
页数：12
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