9 citations · 18 across the 17 of their papers we have counts for
13 papers · 1 filter
Transversal gates for quantum CSS codes
Eduardo Camps-Moreno, Hiram H. López, Gretchen L. Matthews +2
In this paper, we focus on the problem of computing the set of diagonal transversal gates fixing a CSS code. We determine the logical actions of the gates as well as the groups of…
The permutation group of Reed-Solomon codes over arbitrary points
Eduardo Camps-Moreno, Jun Bo Lau, Hiram H. López +1
In this work, we prove that the permutation group of a Reed-Solomon code is given by the polynomials of degree one that leave the set of evaluation points invariant. Our results pr…
Code distances: a new family of invariants of linear codes
Eduardo Camps-Moreno, Elisa Gorla, Hiram H. López
In this paper, we introduce code distances, a new family of invariants for linear codes. We establish some properties and prove bounds on the code distances, and show that they are…
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,…
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…
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…
Binary Triorthogonal and CSS-T Codes for Quantum Error Correction
Eduardo Camps-Moreno, Hiram H. López, Gretchen L. Matthews +3
In this paper, we study binary triorthogonal codes and their relation to CSS-T quantum codes. We characterize the binary triorthogonal codes that are minimal or maximal with respec…
Toward Quantum CSS-T Codes from Sparse Matrices
Eduardo Camps-Moreno, Hiram H. López, Gretchen L. Matthews +1
CSS-T codes were recently introduced as quantum error-correcting codes that respect a transversal gate. A CSS-T code depends on a pair of binary linear codes and…
Fractional decoding of algebraic geometry codes over extension fields
Eduardo Camps-Moreno, Gretchen L. Matthews, Welington Santos
In this paper, we study algebraic geometry codes from curves over through their virtual projections which are algebraic geometric codes over . W…
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,…
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…
Optimal anticodes, MSRD codes, and generalized weights in the sum-rank metric
Eduardo Camps Moreno, Elisa Gorla, Cristina Landolina +3
Sum-rank metric codes have recently attracted the attention of many researchers, due to their relevance in several applications. Mathematically, the sum-rank metric is a natural ge…
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…