• 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   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 ...
    • 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 ...