Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves

In this paper we obtain conditions on the divisors of the group order of the Jacobian of a hyperelliptic genus 2 curve, generated by the complex multiplication method described by Weng (2003) and Gaudry (2005). Examples, where these conditions imply that the Jacobian has a large cyclic subgroup, are given.Comment: 8 pages, 1 figur

Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves

In this paper we obtain conditions on the divisors of the group order of the Jacobian of a hyperelliptic genus 2 curve, generated by the complex multiplication method described by Weng (2003) and Gaudry (2005). Examples, where these conditions imply that the Jacobian has a large cyclic subgroup, are given

Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves

In this paper we obtain conditions on the divisors of the group order of the Jacobian of a hyperelliptic genus 2 curve, generated by the complex multiplication method described by Weng (2003) and Gaudry et al (2005). Examples, where these conditions imply that the Jacobian has a large cyclic subgroup, are given.