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ANTS
2010
Springer
216views Algorithms» more  ANTS 2010»
14 years 7 days 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
ICISC
2004
120views Cryptology» more  ICISC 2004»
13 years 10 months ago
Efficient Computation of Tate Pairing in Projective Coordinate over General Characteristic Fields
Abstract. We consider the use of Jacobian coordinates for Tate pairing over general characteristics. The idea of encapsulated double-andline computation and add-and-line computatio...
Sanjit Chatterjee, Palash Sarkar, Rana Barua
STOC
2005
ACM
113views Algorithms» more  STOC 2005»
14 years 9 months ago
Efficient testing of groups
We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit d...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
IDEAL
2003
Springer
14 years 2 months ago
Improving the Efficiency of Frequent Pattern Mining by Compact Data Structure Design
Mining frequent patterns has been a topic of active research because it is computationally the most expensive step in association rule discovery. In this paper, we discuss the use ...
Raj P. Gopalan, Yudho Giri Sucahyo
SODA
2008
ACM
106views Algorithms» more  SODA 2008»
13 years 10 months ago
Exact and efficient 2D-arrangements of arbitrary algebraic curves
We show how to compute the planar arrangement induced by segments of arbitrary algebraic curves with the Bentley-Ottmann sweep-line algorithm. The necessary geometric primitives r...
Arno Eigenwillig, Michael Kerber