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» Twisted Jacobi Intersections Curves
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TAMC
2010
Springer
13 years 9 months ago
Twisted Jacobi Intersections Curves
In this paper, the twisted Jacobi intersections which contains Jacobi intersections as a special case is introduced. We show that every elliptic curve over the prime field with t...
Rongquan Feng, Menglong Nie, Hongfeng Wu
CCCG
2008
13 years 6 months ago
Computing Dehn Twists and Geometric Intersection Numbers in Polynomial Time
Simple curves on surfaces are often represented as sequences of intersections with a triangulation. However, there are much more succinct ways of representing simple curves used i...
Marcus Schaefer, Eric Sedgwick, Daniel Stefankovic
ESA
2003
Springer
141views Algorithms» more  ESA 2003»
13 years 9 months ago
Jacobi Curves: Computing the Exact Topology of Arrangements of Non-singular Algebraic Curves
We present an approach that extends the BentleyOttmann sweep-line algorithm [3] to the exact computation of the topology of arrangements induced by non-singular algebraic curves o...
Nicola Wolpert
AAECC
2003
Springer
116views Algorithms» more  AAECC 2003»
13 years 9 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
CHES
2001
Springer
193views Cryptology» more  CHES 2001»
13 years 9 months ago
Preventing SPA/DPA in ECC Systems Using the Jacobi Form
Abstract. In this paper we show how using a representation of an elliptic curve as the intersection of two quadrics in P3 can provide a defence against Simple and Differental Powe...
Pierre-Yvan Liardet, Nigel P. Smart