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Embedding Degree of Hyperelliptic Curves with Complex Multiplication
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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 }