19 citations · 24 across the 8 of their papers we have counts for
8 papers
On decoding hyperbolic codes
Eduardo Camps-Moreno, Ignacio García-Marco, Hiram H. López +3
This work studies several decoding algorithms for hyperbolic codes. We use some previous ideas to describe how to decode a hyperbolic code using the largest Reed-Muller code contai…
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…
The dual of an evaluation code
Hiram H. López, Ivan Soprunov, Rafael H. Villarreal
The aim of this work is to study the dual and the algebraic dual of an evaluation code using standard monomials and indicator functions. We show that the dual of an evaluation code…
Coding theory package for Macaulay2
Taylor Ball, Eduardo Camps, Henry Chimal-Dzul +7
In this Macaulay2 \cite{M2} package we define an object called {\it linear code}. We implement functions that compute basic parameters and objects associated with a linear code, su…