Mostrar el registro sencillo del ítem
The geometry of some parameterizations and encodings
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| hal.structure.identifier | Laboratoire International de Recherche en Informatique et Mathématiques Appliquées [LIRIMA] | |
| dc.contributor.author | COUVEIGNES, Jean-Marc | |
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| dc.contributor.author | LERCIER, Reynald | |
| dc.date.accessioned | 2024-04-04T02:47:15Z | |
| dc.date.available | 2024-04-04T02:47:15Z | |
| dc.date.created | 2013-10-03 | |
| dc.date.issued | 2014-12-01 | |
| dc.identifier.issn | 1930-5346 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191625 | |
| dc.description.abstractEn | We report on current work on parameterization of low genera algebraic curves. For example, we prove that for $q$ a prime power that is large enough and prime to 6, a fixed positive proportion of all genus two curves over the field with $q$ elements can be parameterized by 3-radicals. This results in the existence of a deterministic encoding into these curves when $q$ is congruent to 2 modulo 3. Abstract of a talk given at GEOCRYPT 2013, Papeete. | |
| dc.description.sponsorship | Espaces de paramètres pour une arithmétique efficace et une évaluation de la sécurité des courbes - ANR-12-BS01-0010 | |
| dc.description.sponsorship | Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020 | |
| dc.language.iso | en | |
| dc.publisher | AIMS | |
| dc.subject.en | encodings | |
| dc.subject.en | deterministic algorithms | |
| dc.subject.en | finite fields | |
| dc.subject.en | algebraic curves | |
| dc.subject.en | parameterizations | |
| dc.subject.en | radicals | |
| dc.subject.en | torsors | |
| dc.title.en | The geometry of some parameterizations and encodings | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/amc.2014.8.437 | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.identifier.arxiv | 1310.1013 | |
| bordeaux.journal | Advances in Mathematics of Communications | |
| bordeaux.page | 22 | |
| bordeaux.volume | 8 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 4 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00870112 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00870112v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Advances%20in%20Mathematics%20of%20Communications&rft.date=2014-12-01&rft.volume=8&rft.issue=4&rft.spage=22&rft.epage=22&rft.eissn=1930-5346&rft.issn=1930-5346&rft.au=COUVEIGNES,%20Jean-Marc&LERCIER,%20Reynald&rft.genre=article |
Archivos en el ítem
| Archivos | Tamaño | Formato | Ver |
|---|---|---|---|
|
No hay archivos asociados a este ítem. |
|||