13 citations · 19 across the 5 of their papers we have counts for
8 papers
Easy repair via codes with simplex locality
Margreta Kuijper, Julia Lieb, Diego Napp
In the context of distributed storage systems, locally repairable codes have become important. In this paper we focus on codes that allow for multi-erasure pattern decoding with lo…
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…
Superregular matrices over small finite fields
Paulo Almeida, Diego Napp
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 a…
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…