49 citations · 93 across the 18 of their papers we have counts for
3 papers · 1 filter
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…
Explicit non-special divisors of small degree, algebraic geometric hulls, and LCD codes from Kummer extensions
Eduardo Camps, Hiram H. López, Gretchen L. Matthews
In this paper, we consider the hull of an algebraic geometry code, meaning the intersection of the code and its dual. We demonstrate how codes whose hulls are algebraic geometry co…
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…