12 search results - page 1 / 3 » Improved Weil and Tate Pairings for Elliptic and Hyperellipt... |
ANTS
2004
Springer
13 years 10 months ago
2004
Springer
We present algorithms for computing the squared Weil and Tate pairings on an elliptic curve and the squared Tate pairing for hyperelliptic curves. The squared pairings introduced i...
ASIACRYPT
2003
Springer
13 years 10 months ago
2003
Springer
The Weil and Tate pairings have been used recently to build new schemes in cryptography. It is known that the Weil pairing takes longer than twice the running time of the Tate pair...
CTRSA
2003
Springer
13 years 10 months ago
2003
Springer
We present an algorithm which speeds scalar multiplication on a general elliptic curve by an estimated 3.8% to 8.5% over the best known general methods when using affine coordinate...
EUROCRYPT
2007
Springer
13 years 11 months ago
2007
Springer
Abstract. In this paper we show that the Ate pairing, originally defined for elliptic curves, generalises to hyperelliptic curves and in fact to arbitrary algebraic curves. It has...
DCC
2007
IEEE
14 years 4 months ago
2007
IEEE
Abstract. We present a general technique for the efficient computation of pairings on supersingular Abelian varieties. This formulation, which we call the eta pairing, generalises ...