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SMA
2010
ACM
164views Solid Modeling» more  SMA 2010»
13 years 5 months ago
Topologically guaranteed univariate solutions of underconstrained polynomial systems via no-loop and single-component tests
We present an algorithm which robustly computes the intersection curve(s) of an under-constrained piecewise polynomial system consisting of n equations with n + 1 unknowns. The so...
Michael Barton, Gershon Elber, Iddo Hanniel
CORR
2004
Springer
104views Education» more  CORR 2004»
13 years 5 months ago
Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...
David Jao, Stephen D. Miller, Ramarathnam Venkates...
ASIACRYPT
2007
Springer
13 years 11 months ago
Faster Addition and Doubling on Elliptic Curves
Edwards recently introduced a new normal form for elliptic curves. Every elliptic curve over a non-binary field is birationally equivalent to a curve in Edwards form over an exten...
Daniel J. Bernstein, Tanja Lange
ICCS
2004
Springer
13 years 10 months ago
Reconstruction of 3D Curvilinear Wireframe Model from 2D Orthographic Views
An approach for reconstructing wireframe models of curvilinear objects from three orthographic views is discussed. Our main stress is on the method of generating three-dimensional ...
Aijun Zhang, Yong Xue, Xiaosong Sun, Yincui Hu, Yi...
CHES
2001
Springer
130views Cryptology» more  CHES 2001»
13 years 9 months ago
Generating Elliptic Curves of Prime Order
A variation of the Complex Multiplication (CM) method for generating elliptic curves of known order over finite fields is proposed. We give heuristics and timing statistics in th...
Erkay Savas, Thomas A. Schmidt, Çetin Kaya ...