Partial Unit Memory Codes Based on Gabidulin Codes

被引:0
|
作者
Wachter, Antonia [1 ]
Sidorenko, Vladimir [1 ]
Bossert, Martin [1 ]
Zyablov, Victor [2 ]
机构
[1] Univ Ulm, Inst Telecommun & Appl Informat Theory, D-89069 Ulm, Germany
[2] Russian Acad Sci, Moscow 117901, Russia
关键词
(Partial) Unit Memory Codes; Gabidulin Codes; Convolutional Codes; Rank Metric;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
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, the extended row rank distance and its slope are defined. Upper bounds for the free rank distance and the slope of (P) UM codes in the sum rank metric are derived. The construction of PUM codes based on Gabidulin codes achieves the upper bound for the free rank distance.
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页数:5
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