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Title: Constructing strongly-MDS convolutional codes with maximum distance profile
Author: Napp, Diego
Smarandache, Roxana
Keywords: Convolutional codes
Coding theory
Maximum distance separable (MDS) convolutional codes
Maximum distance profile (MDP) convolutional codes
Erasure channel
Issue Date: May-2016
Publisher: American Institute of Mathematical Sciences (AIMS)
Abstract: This paper revisits strongly-MDS convolutional codes with maximum distance profile (MDP). These are (non-binary) convolutional codes that have an optimum sequence of column distances and attains the generalized Singleton bound at the earliest possible time frame. These properties make these convolutional codes applicable over the erasure channel, since they are able to correct a large number of erasures per time interval. The existence of these codes have been shown only for some specific cases. This paper shows by construction the existence of convolutional codes that are both strongly-MDS and MDP for all choices of parameters.
Peer review: yes
DOI: 10.3934/amc.2016005
ISSN: 1930-5346
Appears in Collections:CIDMA - Artigos

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