107 citations · 492 across the 34 of their papers we have counts for
35 papers
Optimal pure quantum -locally recoverable codes from matrix-product construction
Carlos Galindo, Fernando Hernando, Carlos Munuera +1
Locally recoverable codes (LRCs) are classical error-correcting codes widely used in large-scale distributed and cloud storage systems. Quantum locally recoverable codes of localit…
Subfield subcodes of projective Reed-Muller codes
Philippe Gimenez, Diego Ruano, Rodrigo San-José
Explicit bases for the subfield subcodes of projective Reed-Muller codes over the projective plane and their duals are obtained. In particular, we provide a formula for the dimensi…
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…
Stabilizer quantum codes defined by trace-depending polynomials
Carlos Galindo, Fernando Hernando, Helena Martín-Cruz +1
Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace. In this paper, we propose to evaluate polynom…
Saturation and vanishing ideals
Philippe Gimenez, Diego Ruano, Rodrigo San-José
We consider an homogeneous ideal in the polynomial ring over a finite field and the finite set of projective rational points $\mathbb{X…
Private Information Retrieval Schemes Using Cyclic Codes
Şeyma Bodur, Edgar Martínez-Moro, Diego Ruano
A Private Information Retrieval (PIR) scheme allows users to retrieve data from a database without disclosing to the server information about the identity of the data retrieved. A…