Faster Pairings on Special Weierstrass Curves

  • C. Costello ,
  • H. Hisil ,
  • C. Boyd ,
  • J. M. González Nieto ,
  • K. Koon-Ho Wong ,

Pairing 2009 |

Published by Springer Verlag

This paper presents efficient formulas for computing cryptographic pairings on the curve y 2 = c x 3 + 1 over fields of large characteristic. We provide examples of pairing-friendly elliptic curves of this form which are of interest for efficient pairing implementations.