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MOC
2000
74views more  MOC 2000»
13 years 4 months ago
Computing the tame kernel of quadratic imaginary fields
J. Tate has determined the group K2OF (called the tame kernel) for six quadratic imaginary number fields F = Q( d), where d = -3, -4, -7, -8, -11, -15. Modifying the method of Tat...
Jerzy Browkin, Karim Belabas, Herbert Gangl
CHINAF
2008
69views more  CHINAF 2008»
13 years 4 months ago
Efficient Tate pairing computation using double-base chains
Pairing-based cryptosystems have been developing very fast in the last few years. The efficiencies of the cryptosystems are determined by the computation of the Tate pairing. In th...
Changan Zhao, Fangguo Zhang, Jiwu Huang
ANTS
2010
Springer
216views Algorithms» more  ANTS 2010»
13 years 7 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