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MRD rank metric convolutional codes | IEEE Conference Publication | IEEE Xplore

MRD rank metric convolutional codes


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 prop...Show More

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.
Date of Conference: 25-30 June 2017
Date Added to IEEE Xplore: 14 August 2017
ISBN Information:
Electronic ISSN: 2157-8117
Conference Location: Aachen, Germany

References

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