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» Complexity of Polynomial Multiplication over Finite Fields
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CORR
2008
Springer
92views Education» more  CORR 2008»
13 years 7 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»
13 years 7 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»
13 years 7 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»
13 years 7 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»
13 years 7 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