4 papers
The permutation and automorphism groups of univariate multiplicity codes
Eduardo Camps Moreno, Hiram H. López, Umberto Martínez-Peñas +1
We give explicit characterizations of the permutations and linear isometries that leave (univariate) multiplicity codes invariant. We consider any evaluation subset of the finite f…
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…
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,…
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…