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Embedding Degree of Hyperelliptic Curves with Complex Multiplication

Authors:
Christian Robenhagen Ravnshoj
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URL: http://eprint.iacr.org/2007/175
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Abstract: Consider the Jacobian of a genus two curve defined over a finite field and with complex multiplication. In this paper we show that if the l-Sylow subgroup of the Jacobian is not cyclic, then the embedding degree of the Jacobian with respect to l is one.
BibTeX
@misc{eprint-2007-13457,
  title={Embedding Degree of Hyperelliptic Curves with Complex Multiplication},
  booktitle={IACR Eprint archive},
  keywords={Hyperelliptic curve cryptography.},
  url={http://eprint.iacr.org/2007/175},
  note={ cr@imf.au.dk 13643 received 10 May 2007},
  author={Christian Robenhagen Ravnshoj},
  year=2007
}