Improvements in the computation of ideal class groups of imaginary quadratic number fields
| hal.structure.identifier | Laboratoire d'informatique de l'École polytechnique [Palaiseau] [LIX] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | BIASSE, Jean-François | |
| dc.date.accessioned | 2024-04-04T02:35:45Z | |
| dc.date.available | 2024-04-04T02:35:45Z | |
| dc.date.issued | 2009 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190669 | |
| dc.description | Soumission au journal Advances in Mathematics of computation | |
| dc.description.abstractEn | We investigate improvements to the algorithm for the computation of ideal class group described by Jacobson in the imaginary quadratic case. These improvements rely on the large prime strategy and a new method for performing the linear algebra phase. We achieve a significant speed-up and are able to compute 110-decimal digits discriminant ideal class group in less than a week. | |
| dc.language.iso | en | |
| dc.subject.en | Ideal Class group | |
| dc.subject.en | index calculus | |
| dc.subject.en | large prime variant | |
| dc.subject.en | Gaussian elimination | |
| dc.subject.en | Hermite normal form | |
| dc.title.en | Improvements in the computation of ideal class groups of imaginary quadratic number fields | |
| dc.type | Autre document | |
| dc.subject.hal | Informatique [cs]/Cryptographie et sécurité [cs.CR] | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | inria-00397408 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//inria-00397408v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2009&rft.au=BIASSE,%20Jean-Fran%C3%A7ois&rft.genre=unknown |
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