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 | |
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