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» Algorithms for solving linear systems over cyclotomic fields
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CDC
2009
IEEE
117views Control Systems» more  CDC 2009»
13 years 10 months ago
Information dissemination in networks via linear iterative strategies over finite fields
— Given an arbitrary network of interconnected nodes, each with an initial value from a discrete set, we consider the problem of distributively disseminating these initial values...
Shreyas Sundaram, Christoforos N. Hadjicostis
EUROCRYPT
2000
Springer
13 years 9 months ago
Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations
The security of many recently proposed cryptosystems is based on the difficulty of solving large systems of quadratic multivariate polynomial equations. This problem is NP-hard ove...
Nicolas Courtois, Alexander Klimov, Jacques Patari...
CORR
2004
Springer
117views Education» more  CORR 2004»
13 years 5 months ago
Efficient dot product over word-size finite fields
We want to achieve efficiency for the exact computation of the dot product of two vectors over word size finite fields. We therefore compare the practical behaviors of a wide range...
Jean-Guillaume Dumas
CORR
2006
Springer
95views Education» more  CORR 2006»
13 years 5 months ago
Solving Sparse Integer Linear Systems
We propose a new algorithm to solve sparse linear systems of equations over the integers. This algorithm is based on a p-adic lifting technique combined with the use of block matr...
Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne...
FOCS
2010
IEEE
13 years 3 months ago
Solving Linear Systems through Nested Dissection
Abstract--The generalized nested dissection method, developed by Lipton, Rose, and Tarjan, is a seminal method for solving a linear system Ax = b where A is a symmetric positive de...
Noga Alon, Raphael Yuster