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Elliptic curves suitable for pairing based cryptography
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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 }