Listar por autoría "b55bc5f7-1b6a-440d-b4f6-a6f44a37856f"

Mostrando ítems 1-13 de 13

    • openAccess   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 ...

    • openAccess   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 ...

    • closedAccess   Decoding of matrix-product codes 

      Hernando, Fernando; Ruano, Diego World Scientific Publishing Company (2013-06)
      We propose a decoding algorithm for the (u | u + v)-construction that decodes up to half of the minimum distance of the linear code. We extend this algorithm for a class of matrix-product codes in two different ways. In ...

    • openAccess   Entanglement-assisted quantum error-correcting codes from RS codes and BCH codes with extension degree 2 

      Galindo, Carlos; Hernando, Fernando; Ruano, Diego Springer Nature (2021-05-03)
      Entanglement-assisted quantum error-correcting codes (EAQECCs) constructed from Reed–Solomon codes and BCH codes are considered in this work. It is provided a complete and explicit formula for the parameters of EAQECCs ...

    • openAccess   Entanglement-assisted quantum error-correcting codes over arbitrary finite fields 

      Galindo, Carlos; Hernando, Fernando; Matsumoto, Ryutaroh; Ruano, Diego Springer Verlag (2019)
      We prove that the known formulae for computing the optimal number of maximally entangled pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over the binary field hold for codes over arbitrary ...

    • openAccess   Improved constructions of nested code pairs 

      Galindo, Carlos; Geil, Olav; Hernando, Fernando; Ruano, Diego IEEE (2017-09)
      Two new constructions of linear code pairs C2 ⊂ C1 are given for which the codimension and the relative minimum distances M1(C1,C2), M1(C┴2 , C┴1) are good. By this we mean that for any two out of the three parameters the ...

    • openAccess   List Decoding of Matrix-Product Codes from nested codes: an application to Quasi-Cyclic codes 

      Hernando, Fernando; Hoholdt, Tom; Ruano, Diego American Institute of Mathematical Sciences (2012-01-30)
      A list decoding algorithm for matrix-product codes is provided when C1, . . . , Cs are nested linear codes and A is a non-singular by columns matrix. We estimate the probability of getting more than one codeword as output ...

    • openAccess   List decoding of repeated codes 

      Hernando, Fernando; O'Sullivan, Michael E.; Ruano, Diego Springer (2013-08)
      Assuming that we have a soft-decision list decoding algorithm of a linear code, a new hard-decision list decoding algorithm of its repeated code is proposed in this article. Although repeated codes are not used for ...

    • openAccess   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 ...

    • openAccess   New quantum codes from evaluation and matrix-product codes 

      Galindo, Carlos; Hernando, Fernando; Ruano, Diego Elsevier (2014-07)
      Stabilizer codes obtained via CSS code construction and Steane's enlargement of subfield-subcodes and matrix-product codes coming from generalized Reed-Muller, hyperbolic and affine variety codes are studied. Stabilizer ...

    • openAccess   On the distance of stabilizer quantum codes from J-affine variety codes 

      Galindo, Carlos; Geil, Olav; Hernando, Fernando; Ruano, Diego Springer Verlag (2017)
      Self-orthogonal J-affine variety codes have been successfully used to obtain quantum stabilizer codes with excellent parameters. In a previous paper we gave formulae for the dimension of this family of quantum codes, but ...

    • openAccess   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 ...

    • openAccess   Stabilizer quantum codes from J -affine variety codes and a new Steane-like enlargement 

      Galindo, Carlos; Hernando, Fernando; Ruano, Diego Springer (2014-09)
      New stabilizer codes with parameters better than the ones available in the literature are provided in this work, in particular quantum codes with parameters [[127,63,≥12]]2 and [[63,45,≥6]]4 that are records. These codes ...