Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves

Christian Robenhagen Ravnshøj

Paper 2007/097

Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves

Christian Robenhagen Ravnshøj

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.

Metadata

Available format(s): PDF PS
Publication info: Published elsewhere. Unknown where it was published
Keywords: Hyperelliptic curve cryptology
Contact author(s): cr @ imf au dk
History: 2007-03-22: received
Short URL: https://ia.cr/2007/097
License: CC BY

BibTeX

@misc{cryptoeprint:2007/097,
      author = {Christian Robenhagen Ravnshøj},
      title = {Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves},
      howpublished = {Cryptology ePrint Archive, Paper 2007/097},
      year = {2007},
      note = {\url{https://eprint.iacr.org/2007/097}},
      url = {https://eprint.iacr.org/2007/097}
}