Improved Weil and Tate pairings for elliptic and hyperelliptic curves

Details Improved Weil and Tate pairings for elliptic and hyperelliptic curves Improved Weil and Tate pairings for elliptic and hyperelliptic curves

2003-11-21

arxiv.org/abs/math/0311391v2

Mathematics

Number Theory

15 pages, new version revised for publication in ANTS-6, references added

Scientific paper

We present algorithms for computing the squared Weil and Tate pairings on
elliptic curves and the 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.

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