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» Complexity of Polynomial Multiplication over Finite Fields
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ICISC
2004
108views Cryptology» more  ICISC 2004»
13 years 8 months ago
Generating Prime Order Elliptic Curves: Difficulties and Efficiency Considerations
We consider the generation of prime order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...
Elisavet Konstantinou, Aristides Kontogeorgis, Yan...
ANTS
2010
Springer
262views Algorithms» more  ANTS 2010»
13 years 11 months ago
Short Bases of Lattices over Number Fields
Lattices over number elds arise from a variety of sources in algorithmic algebra and more recently cryptography. Similar to the classical case of Z-lattices, the choice of a nice,...
Claus Fieker, Damien Stehlé
ANTS
2006
Springer
105views Algorithms» more  ANTS 2006»
13 years 11 months ago
A Modular Method for Computing the Splitting Field of a Polynomial
We provide a modular method for computing the splitting field Kf of an integral polynomial f by suitable use of the byproduct of computation of its Galois group Gf by p-adic Staudu...
Guénaël Renault, Kazuhiro Yokoyama
AAECC
2006
Springer
120views Algorithms» more  AAECC 2006»
13 years 7 months ago
Continued fraction for formal laurent series and the lattice structure of sequences
Abstract Besides equidistribution properties and statistical independence the lattice profile, a generalized version of Marsaglia's lattice test, provides another quality meas...
Wilfried Meidl
TCC
2009
Springer
184views Cryptology» more  TCC 2009»
14 years 8 months ago
Secure Arithmetic Computation with No Honest Majority
We study the complexity of securely evaluating arithmetic circuits over finite rings. This question is motivated by natural secure computation tasks. Focusing mainly on the case o...
Yuval Ishai, Manoj Prabhakaran, Amit Sahai