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CVGIP
2002
174views more  CVGIP 2002»
13 years 7 months ago
Computing quadric surface intersections based on an analysis of plane cubic curves
Computing the intersection curve of two quadrics is a fundamental problem in computer graphics and solid modeling. We present an algebraic method for classifying and parameterizin...
Wenping Wang, Barry Joe, Ronald N. Goldman
ASIACRYPT
1999
Springer
13 years 11 months ago
ECC: Do We Need to Count?
Abstract. A prohibitive barrier faced by elliptic curve users is the difficulty of computing the curves’ cardinalities. Despite recent theoretical breakthroughs, point counting ...
Jean-Sébastien Coron, Helena Handschuh, Dav...
PKC
2004
Springer
151views Cryptology» more  PKC 2004»
14 years 21 days ago
On the Optimal Parameter Choice for Elliptic Curve Cryptosystems Using Isogeny
The isogeny for elliptic curve cryptosystems was initially used for the efficient improvement of order counting methods. Recently, Smart proposed the countermeasure using isogeny f...
Toru Akishita, Tsuyoshi Takagi
ASIACRYPT
2000
Springer
13 years 11 months ago
Construction of Hyperelliptic Curves with CM and Its Application to Cryptosystems
Abstract. Construction of secure hyperelliptic curves is of most important yet most difficult problem in design of cryptosystems based on the discrete logarithm problems on hyperel...
Jinhui Chao, Kazuto Matsuo, Hiroto Kawashiro, Shig...
ISVC
2009
Springer
14 years 1 months ago
Visualizing Arcs of Implicit Algebraic Curves, Exactly and Fast
Given a Cylindrical Algebraic Decomposition of an implicit algebraic curve, visualizing distinct curve arcs is not as easy as it stands because, despite the absence of singularitie...
Pavel Emeliyanenko, Eric Berberich, Michael Sagral...