Stabilizer quantum codes from $J$-affine variety codes and a new Steane-like enlargement
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2015
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| _version_ | 1866916228381016064 |
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| author | Galindo, Carlos Hernando, Fernando Ruano, Diego |
| author_facet | Galindo, Carlos Hernando, Fernando Ruano, Diego |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1503_00879 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Stabilizer quantum codes from $J$-affine variety codes and a new Steane-like enlargement Galindo, Carlos Hernando, Fernando Ruano, Diego Information Theory 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. |
| title | Stabilizer quantum codes from $J$-affine variety codes and a new Steane-like enlargement |
| topic | Information Theory |
| url | https://arxiv.org/abs/1503.00879 |