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» Complexity of Polynomial Multiplication over Finite Fields
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CORR
2008
Springer
92views Education» more  CORR 2008»
14 years 11 months ago
On sign conditions over real multivariate polynomials
We present a new probabilistic algorithm to find a finite set of points intersecting the closure of each connected component of the realization of every sign condition over a fami...
Gabriela Jeronimo, Daniel Perrucci, Juan Sabia
JOC
2006
80views more  JOC 2006»
14 years 11 months ago
Elliptic Curves with Low Embedding Degree
Motivated by the needs of the pairing based cryptography, Miyaji, Nakabayashi and Takano have suggested a construction of so-called MNT elliptic curves with low embedding degree. ...
Florian Luca, Igor Shparlinski
PC
2002
158views Management» more  PC 2002»
14 years 10 months ago
On parallel block algorithms for exact triangularizations
We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
Jean-Guillaume Dumas, Jean-Louis Roch
MST
2008
124views more  MST 2008»
14 years 11 months ago
Complexity of Clausal Constraints Over Chains
We investigate the complexity of the satisfiability problem of constraints over finite totally ordered domains. In our context, a clausal constraint is a disjunction of inequaliti...
Nadia Creignou, Miki Hermann, Andrei A. Krokhin, G...
AAECC
2002
Springer
132views Algorithms» more  AAECC 2002»
14 years 11 months ago
Lattice Structure and Linear Complexity of Nonlinear Pseudorandom Numbers
It is shown that a q-periodic sequence over the finite field Fq passes an extended version of Marsaglia's lattice test for high dimensions if and only if its linear complexity...
Harald Niederreiter, Arne Winterhof