Context and Motivation

The imminent advent of large-scale quantum computing poses a significiant threat to the security of most currently deployed asymmetric crytposystems, whose security relies on the computational difficulty of mathematical problems (such as integer factorization or the discrete logarithm problem) known to be vulnerable to quantum algorithms like Shor's algorithm.

Research Objectives The objective of Post-Quantum Cryptography (PQC) is to develop cryptosystems that are resistant to quantum computers. This family includes symmetric cryptosystems and novel mathematical problems, such as the resolution of a system of non-linear equations (multivariate-based cryptography).

Main Research Axes

We aim to adress fundamental and practical questions related to the large scale deployment of post-quantum cryptograhy. Our contributions are related to three interconnected axes :

• Security analysis of post-quantum cryptosystems

This axis focuses on the development of new algorithmic approaches, software tools and libraries for automating cryptanalysis.

• Improved post-quantum primitives and hybrid approache

This axis is concerned with the design of new improved post-quantum primtives and the hybridization of post-quantum primitives with quantum cryptography.

• Integration of post-quantum cryptography

This axis covers issues related to the integration of post-quantum cryptography in practical applications (such as automatic detection of legacy cryptography, and adaptation of security protocols to post-quantum).

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