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On a Relation between the Ate Pairing and the Weil Pairing for Supersingular Elliptic Curves
Ate pairing Weil pairing
2014/3/10
The hyperelliptic curve Ate pairing provides an efficient way to compute a bilinear pairing on the Jacobian variety of a hyperelliptic curve. We prove that, for supersingular elliptic curves with embe...
In this paper we will prove a basic property of weil pairing which helps in evaluating its value. We will show that the weil pairing value as computed from the definition is equivalent with the ratio ...
Reducing the Complexity of the Weil Pairing Computation
Weil pairing ate pairing elliptic curves
2009/6/4
In this paper, we investigate to compute the variants based
on the Weil pairing with short Miller iteration loops.
Identity Based Encryption From the Weil Pairing
To help motivate the Weil pairing, we discuss it in the context of
elliptic curves over the field of complex numbers.
Security Weakness in a Three-Party Password-Based Key Exchange Protocol Using Weil Pairing
Key exchange protocol password-based authentication Weil pairing
2009/2/24
Recently, Wen, Lee, and Hwang proposed a three-party password-authenticated key ex-
change protocol making use of the Weil pairing. The protocol was claimed to be provably
secure. But despite the cl...