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» Fast Point Decompression for Standard Elliptic Curves
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96
Voted
ARC
2009
Springer
142views Hardware» more  ARC 2009»
15 years 8 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...
110
Voted
CRYPTO
1995
Springer
111views Cryptology» more  CRYPTO 1995»
15 years 5 months ago
Fast Key Exchange with Elliptic Curve Systems
The Diffie-Hellman key exchange algorithm can be implemented using the group of points on an elliptic curve over the field F2n. A software version of this using n = 155 can be o...
Richard Schroeppel, Hilarie K. Orman, Sean W. O'Ma...
DCC
2000
IEEE
15 years 1 months ago
Efficient Arithmetic on Koblitz Curves
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
Jerome A. Solinas
117
Voted
ASIACRYPT
2007
Springer
15 years 8 months ago
Faster Addition and Doubling on Elliptic Curves
Edwards recently introduced a new normal form for elliptic curves. Every elliptic curve over a non-binary field is birationally equivalent to a curve in Edwards form over an exten...
Daniel J. Bernstein, Tanja Lange
IACR
2011
113views more  IACR 2011»
14 years 1 months ago
Implementing 4-Dimensional GLV Method on GLS Elliptic Curves with j-Invariant 0
Abstract. The Gallant-Lambert-Vanstone (GLV) method is a very efcient technique for accelerating point multiplication on elliptic curves with eciently computable endomorphisms. G...
Zhi Hu, Patrick Longa, Maozhi Xu