Maxence Jauberty

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