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» Fast Point Decompression for Standard Elliptic Curves
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ARC
2009
Springer
142views Hardware» more  ARC 2009»
14 years 2 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...
CRYPTO
1995
Springer
111views Cryptology» more  CRYPTO 1995»
13 years 11 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
13 years 7 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
ASIACRYPT
2007
Springer
14 years 1 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»
12 years 7 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