[LIVRE][B] Concise encyclopedia of coding theory

WC Huffman, JL Kim, P Solé - 2021 - api.taylorfrancis.com
Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …

[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 …

Convolutional codes

J Lieb, R Pinto, J Rosenthal - Concise Encyclopedia of Coding …, 2021 - api.taylorfrancis.com
Convolutional codes were introduced by Peter Elias [674] in 1955. They can be seen as a
generalization of block codes. In order to motivate this generalization, consider ak× n …

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 …

Privacy-Enhanced Cooperative Storage Scheme for Contact-Free Sensory Data in AIoT with Efficient Synchronization

Y Mei, W Wang, Y Liang, Q Liu, S Chen… - ACM Transactions on …, 2024 - dl.acm.org
The growing popularity of contact-free smart sensing has contributed to the development of
the Artificial Intelligence of Things (AIoT). The contact-free sensory data has great potential …

A lower bound on the field size of convolutional codes with a maximum distance profile and an improved construction

Z Chen - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
Convolutional codes with a maximum distance profile attain the largest possible column
distances for the maximum number of time instants and thus have outstanding error …

Constructions of MDS convolutional codes using superregular matrices

J Lieb, R Pinto - … of Algebra Combinatorics Discrete Structures and …, 2020 - dergipark.org.tr
Maximum distance separable convolutional codes are the codes that present best
performance in error correction among all convolutional codes with certain rate and degree …

Optimal Construction for Decoding 2D Convolutional Codes over an Erasure Channel

R Pinto, M Spreafico, C Vela - Axioms, 2024 - mdpi.com
In general, the problem of building optimal convolutional codes under a certain criteria is
hard, especially when size field restrictions are applied. In this paper, we confront the …

Multi-shot network coding

D Napp, F Santana - Network Coding and Subspace Designs, 2018 - Springer
The seminal paper of Koetter and Kschischang [11] introduced coding concepts for errors
and erasures in a random network coding setting and since then has opened a major …