Add to ORKGAbstract. 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 pairing. Hence it is neces-sary to develop more efficient implementations of the Tate pairing for the practical application of pairing based cryptosystems. In 2002, Barreto et al. and Galbraith et al. provided new algorithms for the fast computation of the Tate pairing in characteristic three. In this paper, we give a closed formula for the Tate pairing on the hyperelliptic curve y2 = xp−x+d in characteristic p. This result improves the implementations in [BKLS02], [GHS02] for the special case p = 3.
Bilinear pairings have been recently used to construct cryptographic schemes with new and novel prop...
We assemble and reorganize the recent work in the area of hyperelliptic pairings: We survey the rese...
Bilinear pairings have been recently used to construct cryptographic schemes with new and novel prop...
In recent papers [4], [9] they worked on hyperelliptic curves H b defined by y +y = x +x +b o...
The Weil and Tate pairings have found several new applications in cryptography. To efficiently imple...
The Tate pairing has plenty of attractive applications, e.g., ID-based cryptosystems, short signatur...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
A self-pairing is a pairing computation where both inputs are the same group element. Self-pairings ...
Abstract. We assemble and reorganize the recent work in the area of hyperelliptic pairings: We surve...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
A self-pairing is a pairing computation where both inputs are the same group element. Self-pairings ...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
Bilinear pairings have been recently used to construct cryptographic schemes with new and novel prop...
We assemble and reorganize the recent work in the area of hyperelliptic pairings: We survey the rese...
Bilinear pairings have been recently used to construct cryptographic schemes with new and novel prop...
In recent papers [4], [9] they worked on hyperelliptic curves H b defined by y +y = x +x +b o...
The Weil and Tate pairings have found several new applications in cryptography. To efficiently imple...
The Tate pairing has plenty of attractive applications, e.g., ID-based cryptosystems, short signatur...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
A self-pairing is a pairing computation where both inputs are the same group element. Self-pairings ...
Abstract. We assemble and reorganize the recent work in the area of hyperelliptic pairings: We surve...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
A self-pairing is a pairing computation where both inputs are the same group element. Self-pairings ...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
Pairings on elliptic curves recently obtained a lot of attention not only as a means to attack curve...
Bilinear pairings have been recently used to construct cryptographic schemes with new and novel prop...
We assemble and reorganize the recent work in the area of hyperelliptic pairings: We survey the rese...
Bilinear pairings have been recently used to construct cryptographic schemes with new and novel prop...