9 citations · 24 across the 5 of their papers we have counts for
4 papers · 1 filter
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,…
Quantum error-correcting codes from projective Reed-Muller codes and their hull variation problem
Diego Ruano, Rodrigo San-José
Long quantum codes using projective Reed-Muller codes are constructed. Projective Reed-Muller codes are evaluation codes obtained by evaluating homogeneous polynomials at the proje…
Hulls of projective Reed-Muller codes over the projective plane
Diego Ruano, Rodrigo San-José
By solving a problem regarding polynomials in a quotient ring, we obtain the relative hull and the Hermitian hull of projective Reed-Muller codes over the projective plane. The dim…
Entanglement-assisted quantum error-correcting codes from subfield subcodes of projective Reed-Solomon codes
Philippe Gimenez, Diego Ruano, Rodrigo San-José
We study the subfield subcodes of projective Reed-Solomon codes and their duals: we provide bases for these codes and estimate their parameters. With this knowledge, we can constru…