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Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves
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Abstract: | 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. |
BibTeX
@misc{eprint-2007-13379, title={Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves}, booktitle={IACR Eprint archive}, keywords={Hyperelliptic curve cryptology}, url={http://eprint.iacr.org/2007/097}, note={ cr@imf.au.dk 13588 received 16 Mar 2007}, author={Christian Robenhagen Ravnsh{\o}j}, year=2007 }