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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...
NCA
2009
IEEE
13 years 12 months ago
2009
IEEE
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...
PAIRING
2007
Springer
13 years 11 months ago
2007
Springer
We derive a new algorithm for computing the Tate pairing on an elliptic curve over a finite field. The algorithm uses a generalisation of elliptic divisibility sequences known as...
ANTS
2010
Springer
13 years 8 months ago
2010
Springer
In this paper, we present a new approach based on theta functions to compute Weil and Tate pairings. A benefit of our method, which does not rely on the classical Miller's alg...