A note on the low order assumption in class groups of imaginary quadratic number fields
| hal.structure.identifier | Analyse cryptographique et arithmétique [CANARI] | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | BELABAS, Karim | |
| hal.structure.identifier | Laboratory for Cryptologic Algorithms [LACAL] | |
| dc.contributor.author | KLEINJUNG, Thorsten | |
| hal.structure.identifier | Ethereum Foundation | |
| hal.structure.identifier | Ruhr University Bochum = Ruhr-Universität Bochum [RUB] | |
| dc.contributor.author | SANSO, Antonio | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | WESOLOWSKI, Benjamin | |
| dc.date.accessioned | 2024-04-04T02:33:30Z | |
| dc.date.available | 2024-04-04T02:33:30Z | |
| dc.date.issued | 2023 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190487 | |
| dc.description.abstractEn | In this short note we analyze the low order assumption in the imaginary quadratic number fields. We show how this assumption is broken for Mersenne primes. We also provide a description on how to attack this assumption for other class of prime numbers leveraging mathematical tools coming from higher (cubic) number fields. | |
| dc.description.sponsorship | Familles de fonctions L: analyse, interactions, résultats effectifs - ANR-17-CE40-0012 | |
| dc.language.iso | en | |
| dc.publisher | Florida Online Journals | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc/ | |
| dc.subject.en | IQC | |
| dc.subject.en | VDF | |
| dc.subject.en | class group | |
| dc.subject.en | public-key cryptography | |
| dc.title.en | A note on the low order assumption in class groups of imaginary quadratic number fields | |
| dc.type | Article de revue | |
| dc.subject.hal | Informatique [cs]/Cryptographie et sécurité [cs.CR] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| bordeaux.journal | Mathematical Cryptology | |
| bordeaux.page | 44-51 | |
| bordeaux.volume | 3 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-04174483 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04174483v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Cryptology&rft.date=2023&rft.volume=3&rft.issue=1&rft.spage=44-51&rft.epage=44-51&rft.au=BELABAS,%20Karim&KLEINJUNG,%20Thorsten&SANSO,%20Antonio&WESOLOWSKI,%20Benjamin&rft.genre=article |
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