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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.04925 |
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| _version_ | 1866915654060212224 |
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| author | Camps-Moreno, Eduardo Fidalgo-Díaz, Adrián Martínez-Peñas, Umberto Matthews, Gretchen L. |
| author_facet | Camps-Moreno, Eduardo Fidalgo-Díaz, Adrián Martínez-Peñas, Umberto Matthews, Gretchen L. |
| contents | The Clifford defect is a rational number associated to the Weierstrass semigroup at a given point of an algebraic curve. It describes the error-correcting capability of the so-called Modified Algorithm for decoding the corresponding one-point codes defined at the point. This defect also finds applications in other contexts involving one-point codes. We study the Clifford defect of some numerical semigroups arising from curves and give explicit formulas for them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_04925 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Clifford defect of a numerical semigroup Camps-Moreno, Eduardo Fidalgo-Díaz, Adrián Martínez-Peñas, Umberto Matthews, Gretchen L. Combinatorics The Clifford defect is a rational number associated to the Weierstrass semigroup at a given point of an algebraic curve. It describes the error-correcting capability of the so-called Modified Algorithm for decoding the corresponding one-point codes defined at the point. This defect also finds applications in other contexts involving one-point codes. We study the Clifford defect of some numerical semigroups arising from curves and give explicit formulas for them. |
| title | The Clifford defect of a numerical semigroup |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2512.04925 |