9 citations · 21 across the 6 of their papers we have counts for
7 papers
Polynomials with restricted support and maximal zeros on a finite Cartesian set
Dipak K. Bhunia, Eduardo Camps-Moreno, Ignacio GarcÍa-Marco +2
Given a finite Cartesian set and a decreasing set of monomials , we call extremal polynomials for over those that have the maximum numbe…
An algebraic characterization of binary CSS-T codes and cyclic CSS-T codes for quantum fault tolerance
Eduardo Camps-Moreno, Hiram H. López, Gretchen L. Matthews +3
CSS-T codes were recently introduced as quantum error-correcting codes that respect a transversal gate. A CSS-T code depends on a CSS-T pair, which is a pair of binary codes $(C_1,…
Mathematical LoRE: Local Recovery of Erasures using Polynomials, Curves, Surfaces, and Liftings
Kathryn Haymaker, Hiram H. López, Beth Malmskog +2
Employing underlying geometric and algebraic structures allows for constructing bespoke codes for local recovery of erasures. We survey techniques for enriching classical codes wit…
Relative hulls and quantum codes
Sarah E. Anderson, Eduardo Camps-Moreno, Hiram H. López +3
Given two -ary codes and , the relative hull of with respect to is the intersection . We prove that when , the relative hull dimen…
Decreasing norm-trace codes
Cícero Carvalho, Hiram H. López, Gretchen L. Matthews
The decreasing norm-trace codes are evaluation codes defined by a set of monomials closed under divisibility and the rational points of the extended norm-trace curve. In particular…
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…
On the generalized Hamming weights of hyperbolic codes
Eduardo Camps-Moreno, Ignacio García-Marco, Hiram H. López +3
A hyperbolic code is an evaluation code that improves a Reed-Muller because the dimension increases while the minimum distance is not penalized. We give the necessary and sufficien…