Academic Journal
Construction of Good Codes from Weak del Pezzo Surfaces
| Τίτλος: | Construction of Good Codes from Weak del Pezzo Surfaces |
|---|---|
| Συγγραφείς: | Blache, Régis, Hallouin, Emmanuel |
| Συνεισφορές: | SCD, INSA Toulouse, Laboratoire de Mathématiques Informatique et Applications UR1_1 (LAMIA), Université des Antilles (UA), Institut de Mathématiques de Toulouse UMR5219 (IMT), Université Toulouse Capitole (UT Capitole), Université de Toulouse (UT)-Université de Toulouse (UT)-Institut National des Sciences Appliquées - Toulouse (INSA Toulouse), Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Institut National des Sciences Appliquées (INSA)-Université de Toulouse (UT)-Université Toulouse - Jean Jaurès (UT2J), Université de Toulouse (UT)-Université Toulouse III - Paul Sabatier (UT3), Université de Toulouse (UT)-Centre National de la Recherche Scientifique (CNRS) |
| Πηγή: | SIAM Journal on Applied Algebra and Geometry. 8:414-459 |
| Publication Status: | Preprint |
| Στοιχεία εκδότη: | Society for Industrial & Applied Mathematics (SIAM), 2024. |
| Έτος έκδοσης: | 2024 |
| Θεματικοί όροι: | 0301 basic medicine, 14G50, 14J26, 94B27, Mathematics - Algebraic Geometry, 03 medical and health sciences, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], 0202 electrical engineering, electronic engineering, information engineering, FOS: Mathematics, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], 02 engineering and technology, Algebraic Geometry (math.AG) |
| Περιγραφή: | We construct algebraic geometric codes from weak del Pezzo surfaces. The codes are associated to the anti-canonical class of the anti-canonical model and to the set of rational points of these models. Since we consider weak Del Pezzo surfaces, the anti canonical model is not smooth any more. This complicates the computation of the parameters of the codes; in particular we need to distinguish the Cartier divisors from the Weil ones. 33 pages |
| Τύπος εγγράφου: | Article |
| Γλώσσα: | English |
| ISSN: | 2470-6566 |
| DOI: | 10.1137/23m1549882 |
| DOI: | 10.48550/arxiv.2301.11825 |
| Σύνδεσμος πρόσβασης: | http://arxiv.org/abs/2301.11825 |
| Rights: | arXiv Non-Exclusive Distribution |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....2e5b35b83c40af6d612cce8015681b5c |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 24706566 |
|---|---|
| DOI: | 10.1137/23m1549882 |