• 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 ...
    • 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   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 ...