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CHES
2008
Springer
151views Cryptology» more  CHES 2008»
14 years 24 days ago
Binary Edwards Curves
Abstract. This paper presents a new shape for ordinary elliptic curves over fields of characteristic 2. Using the new shape, this paper presents the first complete addition formula...
Daniel J. Bernstein, Tanja Lange, Reza Rezaeian Fa...
AFRICACRYPT
2008
Springer
14 years 5 months ago
Twisted Edwards Curves
Abstract. This paper introduces “twisted Edwards curves,” a generalization of the recently introduced Edwards curves; shows that twisted Edwards curves include more curves over...
Daniel J. Bernstein, Peter Birkner, Marc Joye, Tan...
ARC
2009
Springer
142views Hardware» more  ARC 2009»
14 years 5 months ago
A Hardware Analysis of Twisted Edwards Curves for an Elliptic Curve Cryptosystem
Abstract. This paper presents implementation results of a reconfigurable elliptic curve processor defined over prime fields GF(p). We use this processor to compare a new algorit...
Brian Baldwin, Richard Moloney, Andrew Byrne, Gary...
ASIACRYPT
2008
Springer
14 years 24 days ago
Twisted Edwards Curves Revisited
This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a ...
Hüseyin Hisil, Kenneth Koon-Ho Wong, Gary Car...
IWSEC
2010
Springer
13 years 8 months ago
Differential Addition in Generalized Edwards Coordinates
We use two parametrizations of points on elliptic curves in generalized Edwards form x2 + y2 = c2 (1 + dx2 y2 ) that omit the xcoordinate. The first parametrization leads to a diff...
Benjamin Justus, Daniel Loebenberger