5 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…
Linear exact repair schemes for free MDS and Reed-Solomon codes over Galois rings
Daniel P. Bossaller, Hiram H. López
Codes over rings, especially over Galois rings, have been extensively studied for nearly three decades due to their similarity to linear codes over finite fields. A distributed sto…
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,…
The weight hierarchy of decreasing norm-trace codes
Eduardo Camps-Moreno, Hiram H. López, Gretchen L. Matthews +1
The Generalized Hamming weights and their relative version, which generalize the minimum distance of a linear code, are relevant to numerous applications, including coding on the w…
Binary Triorthogonal and CSS-T Codes for Quantum Error Correction
Eduardo Camps-Moreno, Hiram H. López, Gretchen L. Matthews +3
In this paper, we study binary triorthogonal codes and their relation to CSS-T quantum codes. We characterize the binary triorthogonal codes that are minimal or maximal with respec…