Embedding Degree of Hyperelliptic Curves with Complex Multiplication

Christian Robenhagen Ravnshoj

Paper 2007/175

Embedding Degree of Hyperelliptic Curves with Complex Multiplication

Christian Robenhagen Ravnshoj

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.

Metadata

Available format(s): PDF
Publication info: Published elsewhere. Unknown where it was published
Keywords: Hyperelliptic curve cryptography.
Contact author(s): cr @ imf au dk
History: 2007-05-20: received
Short URL: https://ia.cr/2007/175
License: CC BY

BibTeX

@misc{cryptoeprint:2007/175,
      author = {Christian Robenhagen Ravnshoj},
      title = {Embedding Degree of Hyperelliptic Curves with Complex Multiplication},
      howpublished = {Cryptology {ePrint} Archive, Paper 2007/175},
      year = {2007},
      url = {https://eprint.iacr.org/2007/175}
}