Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic
| hal.structure.identifier | Ecole Polytechnique Fédérale de Lausanne [EPFL] | |
| dc.contributor.author | KLEINJUNG, Thorsten | |
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| dc.contributor.author | WESOLOWSKI, Benjamin | |
| dc.date.accessioned | 2024-04-04T02:45:35Z | |
| dc.date.available | 2024-04-04T02:45:35Z | |
| dc.date.issued | 2022 | |
| dc.identifier.issn | 0894-0347 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191481 | |
| dc.description.abstractEn | We prove that the discrete logarithm problem can be solved in quasi-polynomial expected time in the multiplicative group of finite fields of fixed characteristic. More generally, we prove that it can be solved in the field of cardinality $p^n$ in expected time $(pn)^{2\log_2(n) + O(1)}$. | |
| dc.language.iso | en | |
| dc.publisher | American Mathematical Society | |
| dc.title.en | Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1090/jams/985 | |
| dc.subject.hal | Informatique [cs]/Arithmétique des ordinateurs | |
| dc.description.sponsorshipEurope | Algebraic Methods for Stronger Crypto | |
| bordeaux.journal | Journal of the American Mathematical Society | |
| bordeaux.page | 581-624 | |
| bordeaux.volume | 35 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03347994 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03347994v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20the%20American%20Mathematical%20Society&rft.date=2022&rft.volume=35&rft.spage=581-624&rft.epage=581-624&rft.eissn=0894-0347&rft.issn=0894-0347&rft.au=KLEINJUNG,%20Thorsten&WESOLOWSKI,%20Benjamin&rft.genre=article |
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