Discrete Logarithms in Generalized Jacobians
| dc.creator | Galbraith, S. D. | |
| dc.creator | Smith, B. A. | |
| dc.date | 2006-10-02 | |
| dc.date.accessioned | 2026-07-07T07:28:36Z | |
| dc.date.available | 2026-07-07T07:28:36Z | |
| dc.description | Déchène has proposed generalized Jacobians as a source of groups for public-key cryptosystems based on the hardness of the Discrete Logarithm Problem (DLP). Her specific proposal gives rise to a group isomorphic to the semidirect product of an elliptic curve and a multiplicative group of a finite field. We explain why her proposal has no advantages over simply taking the direct product of groups. We then argue that generalized Jacobians offer poorer security and efficiency than standard Jacobians. | |
| dc.identifier | https://arxiv.org/abs/math/0610073 | |
| dc.identifier | http://arxiv.org/abs/math/0610073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/117790 | |
| dc.subject | Number Theory | |
| dc.subject | 14G50 11G20 11T71 | |
| dc.title | Discrete Logarithms in Generalized Jacobians | |
| dc.type | text |