# American Institute of Mathematical Sciences

May  2016, 10(2): 275-290. doi: 10.3934/amc.2016005

## Constructing strongly-MDS convolutional codes with maximum distance profile

 1 CIDMA - Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, Campus Universitário de Santiago, 3810-193 Aveiro 2 Departments of Mathematics, and of Electrical Engineering, University of Notre Dame, Notre Dame, IN 46566, United States

Received  January 2014 Published  April 2016

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.
Citation: Diego Napp, Roxana Smarandache. Constructing strongly-MDS convolutional codes with maximum distance profile. Advances in Mathematics of Communications, 2016, 10 (2) : 275-290. doi: 10.3934/amc.2016005
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##### References:
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