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Stabilizer quantum codes from $J$-affine variety codes and a new Steane-like enlargement
March 03, 2015 Β· Declared Dead Β· π Quantum Information Processing
"No code URL or promise found in abstract"
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Authors
Carlos Galindo, Fernando Hernando, Diego Ruano
arXiv ID
1503.00879
Category
cs.IT: Information Theory
Citations
37
Venue
Quantum Information Processing
Last Checked
6 months ago
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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