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arXiv · 1503.00879

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

Carlos Galindo·Fernando Hernando·Diego Ruano
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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 $[[127,63, \geq 12]]_2$ and $[[63,45, \geq 6]]_4$ 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.

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Carlos Galindo, Fernando Hernando, Diego Ruano. 2015-06-24. Stabilizer quantum codes from $J$-affine variety codes and a new Steane-like enlargement. https://doi.org/10.1007/s11128-015-1057-2

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