## Cryptology ePrint Archive: Report 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.

Category / Keywords: Hyperelliptic curve cryptology

Contact author: cr at imf au dk

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Short URL: ia.cr/2007/097

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