6 citations · 22 across the 9 of their papers we have counts for
10 papers
Wei-type duality and asymptotics of the footprint bound
Rodrigo San-José
We obtain a Wei-type duality between the footprint bound and the dual footprint bound for the generalized Hamming weights of an evaluation code. This duality applies between the An…
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,…
An algorithm for computing generalized Hamming weights and the Sage package GHWs
Rodrigo San-José
We generalize the Brouwer-Zimmermann algorithm, which is the most efficient general algorithm for computing the minimum distance of a random linear code, to the case of generalized…
Recursive decoding of projective Reed-Muller codes
Rodrigo San-José
We give a recursive decoding algorithm for projective Reed-Muller codes making use of a decoder for affine Reed-Muller codes. We determine the number of errors that can be correcte…
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…
About the generalized Hamming weights of matrix-product codes
Rodrigo San-José
We derive a general lower bound for the generalized Hamming weights of nested matrix-product codes, with a particular emphasis on the cases with two and three constituent codes. We…
Hulls of projective Reed-Muller codes over the projective plane
Diego Ruano, Rodrigo San-José
By solving a problem regarding polynomials in a quotient ring, we obtain the relative hull and the Hermitian hull of projective Reed-Muller codes over the projective plane. The dim…
A recursive construction for projective Reed-Muller codes
Rodrigo San-José
We give a recursive construction for projective Reed-Muller codes in terms of affine Reed-Muller codes and projective Reed-Muller codes in fewer variables. From this construction,…
Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes
Philippe Gimenez, Diego Ruano, Rodrigo San-José
We study the subfield subcodes of projective Reed-Solomon codes and their duals: we provide bases for these codes and estimate their parameters. With this knowledge, we can constru…
Saturation and vanishing ideals
Philippe Gimenez, Diego Ruano, Rodrigo San-José
We consider an homogeneous ideal in the polynomial ring over a finite field and the finite set of projective rational points $\mathbb{X…