Listar por tema "subfield-subcodes"

Mostrando ítems 1-4 de 4

    • 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   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 ...

    • 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 ...