Decoding of convolutional codes over the erasure channel

V Tomás, J Rosenthal… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
In this paper the decoding capabilities of convolutional codes over the erasure channel are
studied. Of special interest will be maximum distance profile (MDP) convolutional codes …

A new class of superregular matrices and MDP convolutional codes

P Almeida, D Napp, R Pinto - Linear Algebra and its Applications, 2013 - Elsevier
This paper deals with the problem of constructing superregular matrices that lead to MDP
convolutional codes. These matrices are a type of lower block triangular Toeplitz matrices …

[HTML][HTML] Superregular matrices and applications to convolutional codes

PJ Almeida, D Napp, R Pinto - Linear Algebra and its Applications, 2016 - Elsevier
The main results of this paper are twofold: the first one is a matrix theoretical result. We say
that a matrix is superregular if all of its minors that are not trivially zero are nonzero. Given …

On-the-fly erasure coding for real-time video applications

PU Tournoux, E Lochin, J Lacan… - IEEE Transactions …, 2011 - ieeexplore.ieee.org
This paper introduces a robust point-to-point transmission scheme: Tetrys, that relies on a
novel on-the-fly erasure coding concept which reduces the delay for recovering lost data at …

Convolutional codes with maximum column sum rank for network streaming

R Mahmood, A Badr, A Khisti - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
The column Hamming distance of a convolutional code determines the error correction
capability when streaming over a class of packet erasure channels. We introduce a metric …

[PDF][PDF] Constructing strongly-MDS convolutional codes with maximum distance profile.

D Napp, R Smarandache - Adv. Math. Commun., 2016 - academia.edu
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 …

Weighted reed–solomon convolutional codes

GN Alfarano, D Napp, A Neri… - Linear and Multilinear …, 2024 - Taylor & Francis
In this paper we present a concrete algebraic construction of a novel class of convolutional
codes. These codes are built upon generalized Vandermonde matrices and therefore can …

Complete MDP convolutional codes

J Lieb - Journal of Algebra and Its Applications, 2019 - World Scientific
Maximum distance profile (MDP) convolutional codes have the property that their column
distances are as large as possible. It has been shown that, transmitting over an erasure …

Systematic maximum sum rank codes

P Almeida, U Martinez-Penas, D Napp - Finite Fields and Their …, 2020 - Elsevier
In the last decade there has been a great interest in extending results for codes equipped
with the Hamming metric to analogous results for codes endowed with the rank metric. This …

A construction of MDS 2D convolutional codes of rate 1/n based on superregular matrices

JJ Climent, D Napp, C Perea, R Pinto - Linear Algebra and its Applications, 2012 - Elsevier
In this paper two-dimensional convolutional codes with finite support are considered, ie,
convolutional codes whose codewords have compact support indexed in N2 and take …