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Concept

Crible algébrique

Publications associées (23)

Efficient evaluation of piecewise control laws defined over a large number of polyhedra

Colin Neil Jones

We consider the class of piecewise state feedback control laws applied to discrete-time systems, motivated by recent work on the computation of closed-form MPC controllers. The on-line evaluation of such a control law requires the determination of the stat ...

2007

VSH, an efficient and provable collision-resistant hash function

Arjen Lenstra

We introduce VSH, very smooth hash, a new S-bit hash function that is provably collision-resistant assuming the hardness of finding nontrivial modular square roots of very smooth numbers modulo an S-bit composite. By very smooth, we mean that the smoothnes ...

Springer Verlag2006

Réseaux idéaux sur des corps CM et des corps totalement réels

Ivan Suarez Atias

This thesis deals with the study of ideal lattices over number fields. Let K be a number field, which is assumed to be CM or totally real. An ideal lattice over K is a pair (I,b), where I is a fractional ideal of K and b : I × I → R is a symmetric positive ...

EPFL2005