4 citations · 6 across the 2 of their papers we have counts for
6 papers · 1 filter
Noncatastrophic convolutional codes over a finite ring
Diego Napp, Raquel Pinto, Conceição Rocha
Noncatastrophic encoders are an important class of polynomial generator matrices of convolutional codes. When these polynomials have coefficients in a finite field, these encoders…
List decoding of Convolutional Codes over integer residue rings
Julia Lieb, Diego Napp, Raquel Pinto
A convolutional code $\C$ over $\ZZ[D]$ is a $\ZZ[D]$-submodule of $\ZZN[D]$ where $\ZZ[D]$ stands for the ring of polynomials with coefficients in $\ZZ$. In this paper, we study t…
Systematic Maximum Sum Rank Codes
Paulo Almeida, Umberto Martínez-Penas, Diego Napp
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…
Locally Repairable Convolutional Codes with Sliding Window Repair
Umberto Martínez-Peñas, Diego Napp
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 gene…
A new class of convolutional codes and its use in the McEliece Cryptosystem
P. Almeida, D. Napp
In this paper we present a new class of convolutional codes that admits an efficient al- gebraic decoding algorithm. We study some of its properties and show that it can decode int…
A new class of superregular matrices and MDP convolutional codes
P. Almeida, D. Napp, R. Pinto
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…