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

作者：Galindo Carlos; Hernando Fernando^*; Ruano Diego

来源：Quantum Information Processing, 2015, 14(9): 3211-3231.

DOI：10.1007/s11128-015-1057-2

• Stabilizer J-affine variety codes
• Subfield-subcodes
• Steane enlargement
• Hermitian and Euclidean duality

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.

• 出版日期2015-9