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cs.IT2026
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…
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…