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Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargement
2015
Quantum Information Processing
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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