2 papers
cs.SC2026
Algebraic Modelings of the Supersingular Isogeny Problem
Alessio Caminata, Andrea Sanguineti, Silvia Sconza
We present a new algebraic modeling of the Supersingular Isogeny Problem as a system of multivariate polynomial equations, in the case where the elliptic curves are connected by an…
cs.SC2025
Solving Polynomial Systems with Gröbner Bases: An Introduction to F4 and FGLM
Anna Maria Bigatti, Alessio Caminata, Tor Kristian Ellingsen +3
These notes originate from a reading course held by the authors in the spring of 2024 at the Università di Genova. They provide a hands-on introduction to the F4 and FGLM algorithm…