Lifting iso-dual algebraic geometry codes
In this work we investigate the problem of producing iso-dual algebraic geometry (AG) codes over a finite field q with q elements. Given a finite separable extension M/F of function fields and an iso-dual AG-code C defined over F, we provide a general method to lift the code C to another iso-dual AG...
| Autores: | , , , |
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| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2023 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/233906 |
| Acesso em linha: | http://hdl.handle.net/11336/233906 |
| Access Level: | acceso abierto |
| Palavra-chave: | LIFTING ALGEBRAIC GEOMETRY CODES ISO-DUAL https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | In this work we investigate the problem of producing iso-dual algebraic geometry (AG) codes over a finite field q with q elements. Given a finite separable extension M/F of function fields and an iso-dual AG-code C defined over F, we provide a general method to lift the code C to another iso-dual AG-code C´ defined over M under some assumptions on the parity of the involved different exponents. We apply this method to lift iso-dual AG-codes over the rational function field to elementary abelian p-extensions, like the maximal function fields defined by the Hermitian, Suzuki, and one covered by the GGS function field. We also obtain long binary and ternary iso-dual AG-codes defined over cyclotomic extensions. |
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