Generators of Jacobians of Genus Two Curves
| dc.creator | Ravnshoj, Christian Robenhagen | |
| dc.date | 2008-02-11 | |
| dc.date | 2008-02-18 | |
| dc.date.accessioned | 2026-07-07T09:21:07Z | |
| dc.date.available | 2026-07-07T09:21:07Z | |
| dc.description | We prove that in most cases relevant to cryptography, the Frobenius endomorphism on the Jacobian of a genus two curve is represented by a diagonal matrix with respect to an appropriate basis of the subgroup of l-torsion points. From this fact we get an explicit description of the Weil-pairing on the subgroup of l-torsion points. Finally, the explicit description of the Weil-pairing provides us with an efficient, probabilistic algorithm to find generators of the subgroup of l-torsion points on the Jacobian of a genus two curve. | |
| dc.identifier | https://arxiv.org/abs/0802.1450 | |
| dc.identifier | http://arxiv.org/abs/0802.1450 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154914 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G20 (Primary); 11T71, 14G50, 14H45 (Secondary) | |
| dc.title | Generators of Jacobians of Genus Two Curves | |
| dc.type | text |