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JCP
2007
127views more  JCP 2007»
15 years 6 months ago
Comparison of Simple Power Analysis Attack Resistant Algorithms for an Elliptic Curve Cryptosystem
Abstract— Side channel attacks such as Simple Power Analysis(SPA) attacks provide a new challenge for securing algorithms from an attacker. Algorithms for elliptic curve point sc...
Andrew Byrne, Nicolas Meloni, Arnaud Tisserand, Em...
PKC
1998
Springer
123views Cryptology» more  PKC 1998»
15 years 10 months ago
Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho ...
CHES
2008
Springer
151views Cryptology» more  CHES 2008»
15 years 8 months ago
Binary Edwards Curves
Abstract. This paper presents a new shape for ordinary elliptic curves over fields of characteristic 2. Using the new shape, this paper presents the first complete addition formula...
Daniel J. Bernstein, Tanja Lange, Reza Rezaeian Fa...
PKC
2010
Springer
210views Cryptology» more  PKC 2010»
15 years 8 months ago
Efficient Arithmetic on Hessian Curves
This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite filed Fq, it ...
Reza Rezaeian Farashahi, Marc Joye
DIAGRAMS
2000
Springer
15 years 11 months ago
Positive Semantics of Projections in Venn-Euler Diagrams
Venn diagrams and Euler circles have long been used as a means of expressing relationships among sets using visual metaphors such as \disjointness" and \containment" of t...
Joseph Gil, John Howse, Elena Tulchinsky