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Paper: Improved Weil and Tate pairings for elliptic and hyperelliptic curves

Authors:
Kirsten Eisentr├Ąger
Kristin E. Lauter
Peter L. Montgomery
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URL: http://eprint.iacr.org/2003/242
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Abstract: We present algorithms for computing the {\it squared} Weil and Tate pairings on an elliptic curve and the {\it squared} Tate pairing for hyperelliptic curves. The squared pairings introduced in this paper have the advantage that our algorithms for evaluating them are deterministic and do not depend on a random choice of points. Our pairings save about 20-30\% over the usual pairings.
BibTeX
@misc{eprint-2003-11955,
  title={Improved Weil and Tate pairings for elliptic and hyperelliptic curves},
  booktitle={IACR Eprint archive},
  keywords={implementation / pairing-based cryptography},
  url={http://eprint.iacr.org/2003/242},
  note={to appear in the proceedings of ANTS-6 (Algorithmic Number Theory Symposium) klauter@microsoft.com 12481 received 21 Nov 2003, last revised 4 Mar 2004},
  author={Kirsten Eisentr├Ąger and Kristin E. Lauter and Peter L. Montgomery},
  year=2003
}