4 papers
Linear codes in the folded Hamming distance and the quasi MDS property
Umberto Martínez-Peñas, Rubén Rodríguez-Ballesteros
In this work, we study linear codes with the folded Hamming distance, or equivalently, codes with the classical Hamming distance that are linear over a subfield. This includes addi…
New constructions of MSRD codes
Umberto Martínez-Peñas
In this work, we provide four methods for constructing new maximum sum-rank distance (MSRD) codes. The first method, a variant of cartesian products, allows faster decoding than kn…
Distributed matrix multiplication with straggler tolerance using algebraic function fields
Adrián Fidalgo-Díaz, Umberto Martínez-Peñas
The problem of straggler mitigation in distributed matrix multiplication (DMM) is considered for a large number of worker nodes and a fixed small finite field. Polynomial codes and…
Sum-rank metric codes
Elisa Gorla, Umberto Martínez-Peñas, Flavio Salizzoni
Sum-rank metric codes are a natural extension of both linear block codes and rank-metric codes. They have several applications in information theory, including multishot network co…