International Association for Cryptologic Research

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Paper: Elliptic Curves for Pairing Applications

Authors:
Angela Murphy
Noel Fitzpatrick
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URL: http://eprint.iacr.org/2005/302
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Abstract: In this paper we address the question of representing the discriminant of an imaginary quadratic field with respect to the basis of a cyclotomic field. This representation allows us to parameterize new families of ordinary elliptic curves over finite prime fields suitable for pairing applications. In particular these curves have small discriminants greater than four and arbitrary embedding degree. Computational results are presented which support the theoretical findings.
BibTeX
@misc{eprint-2005-12636,
  title={Elliptic Curves for Pairing Applications},
  booktitle={IACR Eprint archive},
  keywords={public-key cryptography / Pairing Based Cryptosystem, Elliptic Curves.},
  url={http://eprint.iacr.org/2005/302},
  note={ noelfitz@redbrick.dcu.ie 13119 received 1 Sep 2005, last revised 2 Dec 2005},
  author={Angela Murphy and Noel Fitzpatrick},
  year=2005
}