Explicit rate-optimal streaming codes with smaller field size

M Vajha, V Ramkumar, MN Krishnan… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Streaming codes are a class of packet-level erasure codes that ensure packet recovery over
a sliding window channel which allows either a burst erasure of size or random erasures …

[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 …

Concatenation of convolutional codes and rank metric codes for multi-shot network coding

D Napp, R Pinto, V Sidorenko - Designs, Codes and Cryptography, 2018 - Springer
In this paper we present a novel coding approach to deal with the transmission of
information over a network. In particular we make use of the network several times (multi …

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 …

An explicit construction of optimal streaming codes for channels with burst and arbitrary erasures

D Dudzicz, SL Fong, A Khisti - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This paper presents a new construction of error correcting codes which achieves optimal
recovery of a streaming source over a packet erasure channel. The channel model …

[HTML][HTML] 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 …

Complete j-MDP Convolutional Codes

PJ Almeida, J Lieb - IEEE Transactions on Information Theory, 2020 - ieeexplore.ieee.org
Maximum distance profile (MDP) convolutional codes have been proven to be very suitable
for transmission over an erasure channel. In addition, the subclass of complete MDP …

Locally repairable convolutional codes with sliding window repair

U Martínez-Peñas, D Napp - IEEE Transactions on Information …, 2020 - ieeexplore.ieee.org
Locally repairable convolutional codes (LRCCs) for distributed storage systems (DSSs) are
introduced in this work. They enable local repair, for a single node erasure (or more …

Superregular matrices over small finite fields

P Almeida, D Napp - arxiv preprint arxiv:2008.00215, 2020 - arxiv.org
A trivially zero minor of a matrix is a minor having all its terms in the Leibniz formula equal to
zero. A matrix is superregular if all of its minors that are not trivially zero are nonzero. In the …