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Title: MRD Rank Metric Convolutional Codes
Author: Napp, Diego
Pinto, Raquel
Rosenthal, Joachim
Vettori, Paolo
Keywords: Convolutional codes
Rank metric
Issue Date: 2017
Publisher: IEEE
Abstract: So far, in the area of Random Linear Network Coding, attention has been given to the so-called one-shot network coding, meaning that the network is used just once to propagate the information. In contrast, one can use the network more than once to spread redundancy over different shots. In this paper, we propose rank metric convolutional codes for this purpose. The framework we present is slightly more general than the one which can be found in the literature. We introduce a rank distance, which is suitable for convolutional codes, and derive a new Singleton-like upper bound. Codes achieving this bound are called Maximum Rank Distance (MRD) convolutional codes. Finally, we prove that this bound is optimal by showing a concrete construction of a family of MRD convolutional codes.
Peer review: yes
ISBN: 978-1-5090-4095-7
ISSN: 2157-8117
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Appears in Collections:CIDMA - Comunicações
SCG - Comunicações

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