Welcome to the resource topic for 2003/242
Title:
Improved Weil and Tate pairings for elliptic and hyperelliptic curves
Authors: Kirsten Eisentraeger, Kristin Lauter, Peter L. Montgomery
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.
ePrint: https://eprint.iacr.org/2003/242
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