16 citations · 16 across the 7 of their papers we have counts for
3 papers · 1 filter
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…
Cryptanalysis of a multivariate CCZ scheme
Alessio Caminata, Elisa Gorla, Madison Mabe +2
We consider the multivariate scheme Pesto, which was introduced by Calderini, Caminata, and Villa. In this scheme, the public polynomials are obtained by applying a CCZ transformat…
Quadratic Modelings of Syndrome Decoding
Alessio Caminata, Ryann Cartor, Alessio Meneghetti +2
This paper presents enhanced reductions of the bounded-weight and exact-weight Syndrome Decoding Problem (SDP) to a system of quadratic equations. Over , we improve o…