Quantum codes from a new construction of self-orthogonal algebraic geometry codes
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2019
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| Acceso en línea: | |
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| _version_ | 1866929677307740160 |
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| author | Hernando, Fernando McGuire, Gary Monserrat, Francisco Moyano-Fernández, Julio José |
| author_facet | Hernando, Fernando McGuire, Gary Monserrat, Francisco Moyano-Fernández, Julio José |
| contents | We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the formation of these codes, which greatly extends the class of a previous paper due to Munuera, Tenório and Torres. These results demonstrate that there is a lot more scope for constructing self-orthogonal AG codes than was previously known. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_05645 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Quantum codes from a new construction of self-orthogonal algebraic geometry codes Hernando, Fernando McGuire, Gary Monserrat, Francisco Moyano-Fernández, Julio José Algebraic Geometry Information Theory 94B27, 11T71, 81P70, 14G50 We present new quantum codes with good parameters which are constructed from self-orthogonal algebraic geometry codes. Our method permits a wide class of curves to be used in the formation of these codes, which greatly extends the class of a previous paper due to Munuera, Tenório and Torres. These results demonstrate that there is a lot more scope for constructing self-orthogonal AG codes than was previously known. |
| title | Quantum codes from a new construction of self-orthogonal algebraic geometry codes |
| topic | Algebraic Geometry Information Theory 94B27, 11T71, 81P70, 14G50 |
| url | https://arxiv.org/abs/1907.05645 |