3 papers
math.CO2025
The Clifford defect of a numerical semigroup
Eduardo Camps-Moreno, Adrián Fidalgo-Díaz, Umberto Martínez-Peñas +1
The Clifford defect is a rational number associated to the Weierstrass semigroup at a given point of an algebraic curve. It describes the error-correcting capability of the so-call…
cs.IT2025
Duals of multiplicity codes
Eduardo Camps Moreno, Adrián Fidalgo-Díaz, Hiram H. López +3
Multivariate multiplicity codes have been recently explored because of their importance for list decoding and local decoding. Given a multivariate multiplicity code, in this paper,…
cs.IT2024
Distributed matrix multiplication with straggler tolerance over very small field
Adrián Fidalgo-Díaz, Umberto Martínez-Peñas
The problem of distributed matrix multiplication with straggler tolerance over finite fields is considered, focusing on field sizes for which previous solutions were not applicable…