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AMC
2007
86views more  AMC 2007»
13 years 11 months ago
Further refinement of pairing computation based on Miller's algorithm
In 2006, Blake, Murty and Xu proposed three refinements to Miller’s algorithm for computing Weil/Tate Pairings. In this paper we extend their work and propose a generalized algo...
Chao-Liang Liu, Gwoboa Horng, Te-Yu Chen
PAIRING
2007
Springer
140views Cryptology» more  PAIRING 2007»
14 years 5 months ago
The Tate Pairing Via Elliptic Nets
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...
Katherine E. Stange
ANTS
2010
Springer
216views Algorithms» more  ANTS 2010»
14 years 2 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
WAIFI
2010
Springer
189views Mathematics» more  WAIFI 2010»
14 years 4 months ago
Delaying Mismatched Field Multiplications in Pairing Computations
Abstract. Miller’s algorithm for computing pairings involves performing multiplications between elements that belong to different finite fields. Namely, elements in the full e...
Craig Costello, Colin Boyd, Juan Manuel Gonz&aacut...
CHES
2009
Springer
162views Cryptology» more  CHES 2009»
14 years 11 months ago
Hardware Accelerator for the Tate Pairing in Characteristic Three Based on Karatsuba-Ofman Multipliers
Abstract. This paper is devoted to the design of fast parallel accelerators for the cryptographic Tate pairing in characteristic three over supersingular elliptic curves. We propos...
Jean-Luc Beuchat, Jérémie Detrey, Ni...