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» A Remark on Implementing the Weil Pairing
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CISC
2005
Springer
107views Cryptology» more  CISC 2005»
13 years 6 months ago
A Remark on Implementing the Weil Pairing
We propose an improved implementation of modified Weil pairings. By reduction of operations in the extension field to those in the base field, we can save some operations in the...
Cheol-Min Park, Myung-Hwan Kim, Moti Yung
ASIACRYPT
2003
Springer
13 years 10 months ago
Tate Pairing Implementation for Hyperelliptic Curves y2 = xp-x + d
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...
Iwan M. Duursma, Hyang-Sook Lee
ANTS
2010
Springer
216views Algorithms» more  ANTS 2010»
13 years 8 months ago
Efficient Pairing Computation with Theta Functions
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...
David Lubicz, Damien Robert
CORR
2008
Springer
111views Education» more  CORR 2008»
13 years 4 months ago
New Sequences Design from Weil Representation with Low Two-Dimensional Correlation in Both Time and Phase Shifts
For a given prime p, a new construction of families of the complex valued sequences of period p with efficient implementation is given by applying both multiplicative characters a...
Zilong Wang, Guang Gong
ANTS
2006
Springer
101views Algorithms» more  ANTS 2006»
13 years 8 months ago
High Security Pairing-Based Cryptography Revisited
The security and performance of pairing based cryptography has provoked a large volume of research, in part because of the exciting new cryptographic schemes that it underpins. We ...
Robert Granger, Dan Page, Nigel P. Smart