International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: On the Selection of Pairing-Friendly Groups

Paulo S. L. M. Barreto
Ben Lynn
Michael Scott
Search ePrint
Search Google
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.
  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},
  note={Accepted for SAC'2003 12250 received 1 May 2003, last revised 16 Jul 2003},
  author={Paulo S. L. M. Barreto and Ben Lynn and Michael Scott},