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» Fast Point Decompression for Standard Elliptic Curves
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EUROPKI
2008
Springer
13 years 9 months ago
Fast Point Decompression for Standard Elliptic Curves
Billy Bob Brumley, Kimmo U. Järvinen
AAECC
2003
Springer
165views Algorithms» more  AAECC 2003»
13 years 11 months ago
Fast Point Multiplication on Elliptic Curves through Isogenies
Elliptic curve cryptosystems are usually implemented over fields of characteristic two or over (large) prime fields. For large prime fields, projective coordinates are more suitabl...
Eric Brier, Marc Joye
PKC
2009
Springer
121views Cryptology» more  PKC 2009»
14 years 8 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
AMC
2006
91views more  AMC 2006»
13 years 7 months ago
Fast elliptic scalar multiplication using new double-base chain and point halving
The fast implementation of elliptic curve cryptosystems relies on the efficient computation of scalar multiplication. Based on the double-base chain representation of scalar using...
Kwok-Wo Wong, Edward C. W. Lee, L. M. Cheng, Xiaof...
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...