International Association for Cryptologic Research

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Paper: On the Selection of Pairing-Friendly Groups

Authors:
Paulo S. L. M. Barreto
Ben Lynn
Michael Scott
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URL: http://eprint.iacr.org/2003/086
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Abstract: We propose a simple algorithm to select group generators suitable for pairing-based cryptosystems. The selected parameters are shown to favor implementations of the Tate pairing that are at once conceptually simple and efficient, with an observed performance about 2 to 10 times better than previously reported implementations, depending on the embedding degree. Our algorithm has beneficial side effects: various non-pairing operations become faster, and bandwidth may be saved.
BibTeX
@misc{eprint-2003-11802,
  title={On the Selection of Pairing-Friendly Groups},
  booktitle={IACR Eprint archive},
  keywords={public-key cryptography / pairing-based cryptosystems, group generators, elliptic curves, Tate pairing},
  url={http://eprint.iacr.org/2003/086},
  note={Accepted for SAC'2003 pbarreto@larc.usp.br 12250 received 1 May 2003, last revised 16 Jul 2003},
  author={Paulo S. L. M. Barreto and Ben Lynn and Michael Scott},
  year=2003
}