Sciweavers

24 search results - page 2 / 5
» On solving sparse algebraic equations over finite fields
Sort
View
COCO
2008
Springer
100views Algorithms» more  COCO 2008»
13 years 7 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
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
CHES
2005
Springer
155views Cryptology» more  CHES 2005»
13 years 11 months ago
Scalable Hardware for Sparse Systems of Linear Equations, with Applications to Integer Factorization
Motivated by the goal of factoring large integers using the Number Field Sieve, several special-purpose hardware designs have been recently proposed for solving large sparse system...
Willi Geiselmann, Adi Shamir, Rainer Steinwandt, E...
CORR
1998
Springer
105views Education» more  CORR 1998»
13 years 5 months ago
Solving Degenerate Sparse Polynomial Systems Faster
Abstract. Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in...
J. Maurice Rojas
ISBI
2004
IEEE
14 years 6 months ago
Diffusion Smoothing on Brain Surface via Finite Element Method
Surface data such as the segmented cortical surface of the human brain plays an important role in medical imaging. To increase the signal-to-noise ratio for data residing on the b...
Moo Chung, Jonathan Taylor