Maxence Jauberty

In 2025, I have done a research internship on Boolean functions. I have mainly studied the Walsh analysis (some kind of Fourier analysis) of Boolean functions and constructions bases on BCH codes. Yet, we have submitted one extended abstract to BFA2025.

During the year 2023/2024, I have worked with on a research project on the topic of quantum information theory. The project was supervised by Olivier Rioul and Julien Béguinot. Here is a temporary version of the project :
Latice-based Approximate and Robust Majorization

Here is some of my lab sessions. I have implemented some algorithms in algebra and cryptography. Here is the list of subject (more information in the lecture notes available in the github repository) :

• Lab 1 : Introduction to SageMath
• Lab 2 : Linear algebra on principal ring
• Lab 3 : Euclidean lattices
• Lab 4 : Partial factorisation of univariate polynomials on a finite field
• Lab 5 : Complete factorisation of univariate polynomials
• Lab 6 : Grobner basis and multivariate polynomial systems
• Lab 7 : Some applications of Grobner basis
• Lab 8 : Integer primality
• Lab 9 : Similarity invariants and LFSR
• Lab 10 : Algebraic codes
• Lab 11 : Lattice-based cryptography and cryptanalysis
• Lab 12 : Elliptic curves
• Lab 13 : Discrete logarithm and pairings