Goppa Codes: Key to High Efficiency and Reliability in Communications
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911867660664832 |
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| author | Mosallaei, Behrooz Ghanbari, Farzaneh Farivar, Sepideh Nourozi, Vahid |
| author_facet | Mosallaei, Behrooz Ghanbari, Farzaneh Farivar, Sepideh Nourozi, Vahid |
| contents | In this paper, we study some codes of algebraic geometry related to certain maximal curves. Quantum stabilizer codes obtained through the self orthogonality of Hermitian codes of this error correcting do not always have good parameters. However, appropriate parameters found that the Hermitian self-orthogonal code quantum stabilizer code has good parameters. Therefore, we investigated the quantum stabilizer code at a certain maximum curve and modified its parameters. Algebraic geometry codes show promise for enabling high data rate transmission over noisy power line communication channels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08132 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Goppa Codes: Key to High Efficiency and Reliability in Communications Mosallaei, Behrooz Ghanbari, Farzaneh Farivar, Sepideh Nourozi, Vahid Information Theory Algebraic Geometry In this paper, we study some codes of algebraic geometry related to certain maximal curves. Quantum stabilizer codes obtained through the self orthogonality of Hermitian codes of this error correcting do not always have good parameters. However, appropriate parameters found that the Hermitian self-orthogonal code quantum stabilizer code has good parameters. Therefore, we investigated the quantum stabilizer code at a certain maximum curve and modified its parameters. Algebraic geometry codes show promise for enabling high data rate transmission over noisy power line communication channels. |
| title | Goppa Codes: Key to High Efficiency and Reliability in Communications |
| topic | Information Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2404.08132 |