Listar IMAC_Articles por autoría "16400563-ded4-474e-9f85-71cbdd57b81d"
Mostrando ítems 1-11 de 11
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Asymmetric Entanglement-Assisted Quantum Error-Correcting Codes and BCH Codes
Galindo, Carlos; Hernando, Fernando; Matsumoto, Ryutaroh; Ruano, Diego IEEE (2020-01-17)The concept of asymmetric entanglement-assisted quantum error-correcting code (asymmetric EAQECC) is introduced in this article. Codes of this type take advantage of the asymmetry in quantum errors since phase-shift errors ... -
Classical and Quantum Evaluation Codesat the Trace Roots
Galindo, Carlos; Hernando, Fernando; Ruano, Diego IEEE (2019-04)We introduce a new class of evaluation linear codes by evaluating polynomials at the roots of a suitable trace function. We give conditions for self-orthogonality of these codes and their subfield-subcodes with respect to ... -
Foliations with isolated singularities on Hirzebruch surfaces
Galindo, Carlos; Monserrat, Francisco; Olivares Vazquez, Jorge De Gruyter (2021)We study foliations ℱ on Hirzebruch surfaces Sδ and prove that, similarly to those on the projective plane, any ℱ can be represented by a bi-homogeneous polynomial affine 1-form. In case ℱ has isolated singularities, we ... -
Locally recoverable J-affine variety codes
Galindo, Carlos; Hernando, Fernando; Munuera, Carlos (2020-06)A locally recoverable (LRC) code is a code over a finite eld Fq such that any erased coordinate of a codeword can be recovered from a small number of other coordinates in that codeword. We construct LRC codes correcting ... -
New binary and ternary LCD codes
Galindo, Carlos; Geil, Olav; Hernando, Fernando; Ruano, Diego IEEE (2018-05-09)LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field ... -
On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
Galindo, Carlos; Hernando, Fernando Springer (2022-03-21)Many q-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal q2-ary linear codes. This result can be generalized to q2m-ary linear codes, m>1. We give a result for easily obtaining quantum codes ... -
Optimal (r,δ)-LRCs from monomial-Cartesian codes and their subfield-subcodes
Galindo, Carlos; Hernando, Fernando; Martín-Cruz, Helena Springer (2024-05-02)We study monomial-Cartesian codes (MCCs) which can be regarded as (r,δ)-locally recoverable codes (LRCs). These codes come with a natural bound for their minimum distance and we determine those giving rise to (r,δ)-optimal ... -
Quasi-cyclic constructions of quantum codes
Galindo, Carlos; Hernando, Fernando; Matsumoto, Ryutaroh Elsevier (2018-07)We give sufficient conditions for self-orthogonality with respect to symplec- tic, Euclidean and Hermitian inner products of a wide family of quasi-cyclic codes of index two. We provide lower bounds for the symplectic ... -
Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces
Galindo, Carlos; Monserrat, Francisco; Moreno Ávila, Carlos Jesús Taylor and Francis (2023-02-01)We consider flags E• = {X ⊃ E ⊃ {q}}, where E is an exceptional divisor defining a non-positive at infinity divisorial valuation νE of a Hirzebruch surface Fδ , q a point in E and X the surface given by νE , and determine ... -
Stabilizer quantum codes defined by trace-depending polynomials
Galindo, Carlos; Hernando, Fernando; Martín-Cruz, Helena; Ruano, Diego Elsevier (2022-12-29)Quantum error-correcting codes with good parameters can be constructed by evaluating polynomials at the roots of the polynomial trace [18]. In this paper, we propose to evaluate polynomials at the roots of trace-depending ... -
Using videos to improve oral presentation skills in distance learning engineering master's degrees
Galindo, Carlos; Gregori, Pablo; Martínez, Vicente Taylor & Francis (2019-09-11)In this paper we present a pilot study to improve the learning process on distance learning Engineering master's degrees. We propose an activity where the students individually produce a video in which they explain the ...