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

Carlos Galindo, Fernando Hernando, Diego Ruano
2015 Quantum Information Processing  
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 are constructed with a new generalization of the Steane's enlargement procedure and by considering orthogonal subfield-subcodes -with respect to the Euclidean and Hermitian inner product-of a new family of linear codes, the J-affine variety codes.
doi:10.1007/s11128-015-1057-2 fatcat:b53llaif5fam5mktc2fk5wm6py