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Paper: Elliptic curves suitable for pairing based cryptography

Authors:
Friederike Brezing
Annegret Weng
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URL: http://eprint.iacr.org/2003/143
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Abstract: We give a method for constructing ordinary elliptic curves over finite prime field $\mathbb{F}_p$ with small security parameter $k$ with respect to a prime $\ell$ dividing the group order $\#E(\mathbb{F}_p)$ such that $p<<\ell^2$.
BibTeX
@misc{eprint-2003-11858,
  title={Elliptic curves suitable for pairing based cryptography},
  booktitle={IACR Eprint archive},
  keywords={public-key cryptography / elliptic curve cryptosystems},
  url={http://eprint.iacr.org/2003/143},
  note={ weng@exp-math.uni-essen.de 12269 received 22 Jul 2003, last revised 5 Aug 2003},
  author={Friederike Brezing and Annegret Weng},
  year=2003
}