4 papers
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…