Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement
Abstract
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.
0