Séminaire Calcul Formel
# Solving Generalized Bézout Equations using the Field Norm and Applications to NTRU

→
Europe/Paris

Salle XR201 (Bâtiment XLIM)
### Salle XR201

#### Bâtiment XLIM

Description

I will present a cute algorithm for solving Bézout-style equations in the ring Z[x]/(phi), where phi is a cyclotomic polynomial.

This algorithm uses the field norm to map such equations into smaller rings, before lifting the solutions back in the original ring.

While the techniques used are well-known in algorithmic number theory, we are not aware of them being previously applied in this setting.

This has applications in lattice-based cryptography, making some algorithms faster and more memory-efficient by a factor 100.