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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
Creative Commons Attribution
CC BY
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