19 citations · 24 across the 8 of their papers we have counts for
3 papers · 1 filter
Relative generalized Hamming weights of evaluation codes
Delio Jaramillo-Velez, Hiram H. López, Yuriko Pitones
The aim of this work is to algebraically describe the relative generalized Hamming weights of evaluation codes. We give a lower bound for these weights in terms of a footprint boun…
Multivariate Goppa codes
Hiram H. López, Gretchen L. Matthews
In this paper, we introduce multivariate Goppa codes, which contain as a special case the well-known, classical Goppa codes. We provide a parity check matrix for a multivariate Gop…
Erasures repair for decreasing monomial-Cartesian and augmented Reed-Muller codes of high rate
Hiram H. López, Gretchen L. Matthews, Daniel Valvo
In this work, we present linear exact repair schemes for one or two erasures in decreasing monomial-Cartesian codes DM-CC, a family of codes which provides a framework for polar co…