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CARDIS
2010
Springer
163views Hardware» more  CARDIS 2010»
14 years 13 days ago
Atomicity Improvement for Elliptic Curve Scalar Multiplication
Christophe Giraud, Vincent Verneuil
DCC
2000
IEEE
13 years 5 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
CTRSA
2003
Springer
130views Cryptology» more  CTRSA 2003»
13 years 10 months ago
Fast Elliptic Curve Arithmetic and Improved Weil Pairing Evaluation
We present an algorithm which speeds scalar multiplication on a general elliptic curve by an estimated 3.8% to 8.5% over the best known general methods when using affine coordinate...
Kirsten Eisenträger, Kristin Lauter, Peter L....
PKC
2009
Springer
121views Cryptology» more  PKC 2009»
14 years 6 months ago
Fast Multibase Methods and Other Several Optimizations for Elliptic Curve Scalar Multiplication
Recently, the new Multibase Non-Adjacent Form (mbNAF) method was introduced and shown to speed up the execution of the scalar multiplication with an efficient use of multiple bases...
Patrick Longa, Catherine H. Gebotys
DCC
2006
IEEE
14 years 5 months ago
Trading Inversions for Multiplications in Elliptic Curve Cryptography
Recently, Eisentr?ager et al. proposed a very elegant method for speeding up scalar multiplication on elliptic curves. Their method relies on improved formulas for evaluating S = (...
Mathieu Ciet, Marc Joye, Kristin Lauter, Peter L. ...