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Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves

Authors:
Christian Robenhagen Ravnsh{\o}j
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URL: http://eprint.iacr.org/2007/097
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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
}