International Association for Cryptologic Research

International Association
for Cryptologic Research


Paper: High Security Pairing-Based Cryptography Revisited

R. Granger
D. Page
Nigel P. Smart
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Abstract: The security and performance of pairing based cryptography has provoked a large volume of research, in part because of the exciting new cryptographic schemes that it underpins. We re-examine how one should implement pairings over ordinary elliptic curves for various practical levels of security. We conclude, contrary to prior work, that the Tate pairing is more efficient than the Weil pairing for all such security levels. This is achieved by using efficient exponentiation techniques in the cyclotomic subgroup backed by efficient squaring routines within the same subgroup.
  title={High Security Pairing-Based Cryptography Revisited},
  booktitle={IACR Eprint archive},
  keywords={public-key cryptography / pairings},
  note={ 13195 received 15 Feb 2006, last revised 16 Feb 2006},
  author={R. Granger and D. Page and Nigel P. Smart},