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» On the subset sum problem over finite fields
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JCT
2010
85views more  JCT 2010»
14 years 6 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»
15 years 1 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»
14 years 11 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»
14 years 11 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
15 years 11 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