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Paper: More Discriminants with the Brezing-Weng Method

Authors:
Gaetan Bisson
Takakazu Satoh
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URL: http://eprint.iacr.org/2008/137
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Abstract: The Brezing-Weng method is a general framework to generate families of pairing-friendly elliptic curves. Here, we introduce an improvement which can be used to generate more curves with larger discriminants. Apart from the number of curves this yields, it provides an easy way to avoid endomorphism rings with small class number.
BibTeX
@misc{eprint-2008-17814,
  title={More Discriminants with the Brezing-Weng Method},
  booktitle={IACR Eprint archive},
  keywords={foundations / pairing-friendly elliptic curve generation},
  url={http://eprint.iacr.org/2008/137},
  note={ gaetan.bisson@loria.fr 14042 received 27 Mar 2008, last revised 12 Jun 2008},
  author={Gaetan Bisson and Takakazu Satoh},
  year=2008
}