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» Twisted Edwards Curves
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AAECC
2007
Springer
111views Algorithms» more  AAECC 2007»
14 years 1 months ago
Inverted Edwards Coordinates
Abstract. Edwards curves have attracted great interest for several reasons. When curve parameters are chosen properly, the addition formulas use only 10M + 1S. The formulas are str...
Daniel J. Bernstein, Tanja Lange
IMA
2007
Springer
94views Cryptology» more  IMA 2007»
14 years 1 months ago
Optimised Versions of the Ate and Twisted Ate Pairings
The Ate pairing and the twisted Ate pairing for ordinary elliptic curves which are generalizations of the ηT pairing for supersingular curves have previously been proposed. It is ...
Seiichi Matsuda, Naoki Kanayama, Florian Hess, Eij...
FFA
2010
63views more  FFA 2010»
13 years 6 months ago
Twists of genus three curves over finite fields
Stephen Meagher, Jaap Top
INDOCRYPT
2007
Springer
14 years 1 months ago
Optimizing Double-Base Elliptic-Curve Single-Scalar Multiplication
This paper analyzes the best speeds that can be obtained for single-scalar multiplication with variable base point by combining a huge range of options: – many choices of coordin...
Daniel J. Bernstein, Peter Birkner, Tanja Lange, C...
MOC
2010
13 years 2 months ago
Choosing the correct elliptic curve in the CM method
We give an elementary way to distinguish between the twists of an ordinary elliptic curve E over Fp in order to identify the one with p+1-2U points, when p = U2 + dV 2 with 2U, 2V ...
Karl Rubin, Alice Silverberg