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» On the subset sum problem over finite fields
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JCT
2010
85views more  JCT 2010»
13 years 2 months ago
Symmetric bilinear forms over finite fields of even characteristic
Let Sm be the set of symmetric bilinear forms on an m-dimensional vector space over GF(q), where q is a power of two. A subset Y of Sm is called an (m, d)-set if the difference of...
Kai-Uwe Schmidt
COCO
2008
Springer
100views Algorithms» more  COCO 2008»
13 years 9 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin
TSP
2008
179views more  TSP 2008»
13 years 7 months ago
Estimation in Gaussian Graphical Models Using Tractable Subgraphs: A Walk-Sum Analysis
Graphical models provide a powerful formalism for statistical signal processing. Due to their sophisticated modeling capabilities, they have found applications in a variety of fie...
V. Chandrasekaran, Jason K. Johnson, Alan S. Wills...
MP
2006
80views more  MP 2006»
13 years 7 months ago
Minimizing Polynomials via Sum of Squares over the Gradient Ideal
A method is proposed for finding the global minimum of a multivariate polynomial via sum of squares (SOS) relaxation over its gradient variety. That variety consists of all points ...
Jiawang Nie, James Demmel, Bernd Sturmfels
DCC
2008
IEEE
14 years 7 months ago
On solving sparse algebraic equations over finite fields
A system of algebraic equations over a finite field is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an unde...
Igor Semaev