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» Finding Small Solutions to Small Degree Polynomials
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MOC
1998
85views more  MOC 1998»
13 years 7 months ago
Remarks on the Schoof-Elkies-Atkin algorithm
Abstract. Schoof’s algorithm computes the number m of points on an elliptic curve E defined over a finite field Fq. Schoof determines m modulo small primes using the character...
L. Dewaghe
STOC
2007
ACM
133views Algorithms» more  STOC 2007»
14 years 8 months ago
Interpolation of depth-3 arithmetic circuits with two multiplication gates
In this paper we consider the problem of constructing a small arithmetic circuit for a polynomial for which we have oracle access. Our focus is on n-variate polynomials, over a fi...
Amir Shpilka
MOC
1998
92views more  MOC 1998»
13 years 7 months ago
Perturbing polynomials with all their roots on the unit circle
Given a monic real polynomial with all its roots on the unit circle, we ask to what extent one can perturb its middle coefficient and still have a polynomial with all its roots on ...
Michael J. Mossinghoff, Christopher G. Pinner, Jef...
CVPR
2003
IEEE
14 years 9 months ago
An Efficient Solution to the Five-Point Relative Pose Problem
An efficient algorithmic solution to the classical five-point relative pose problem is presented. The problem is to find the possible solutions for relative camera motion between ...
David Nistér
MOC
1998
131views more  MOC 1998»
13 years 7 months ago
An algorithm for evaluation of discrete logarithms in some nonprime finite fields
In this paper we propose an algorithm for evaluation of logarithms in the finite fields Fpn , where the number pn − 1 has a small primitive factor r. The heuristic estimate of ...
Igor A. Semaev