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» Jacobi Quartic Curves Revisited
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ACISP
2009
Springer
13 years 11 months ago
Jacobi Quartic Curves Revisited
This paper provides new results about efficient arithmetic on (extended) Jacobi quartic form elliptic curves y2 = dx4 + 2ax2
Hüseyin Hisil, Kenneth Koon-Ho Wong, Gary Car...
AAECC
2003
Springer
116views Algorithms» more  AAECC 2003»
13 years 10 months ago
The Jacobi Model of an Elliptic Curve and Side-Channel Analysis
Abstract. A way for preventing SPA-like attacks on elliptic curve systems is to use the same formula for the doubling and the general addition of points on the curve. Various propo...
Olivier Billet, Marc Joye
ACNS
2009
Springer
124views Cryptology» more  ACNS 2009»
13 years 11 months ago
Novel Precomputation Schemes for Elliptic Curve Cryptosystems
We present an innovative technique to add elliptic curve points with the form P Q± , and discuss its application to the generation of precomputed tables for the scalar multiplicat...
Patrick Longa, Catherine H. Gebotys
PKC
2009
Springer
121views Cryptology» more  PKC 2009»
14 years 5 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