6. INFORMATION & COMMUNICATION TECHNOLOGIES
» Cyber security
My research area is at the intersection of cryptography and symbolic computation. I am mainly interested by evaluating the security of cryptographic primitives by means of algebraic methods. The idea is to model a cryptographic primitive as a system of algebraic equations. This general approach is called algebraic cryptanalysis. Once this modeling is done, the problem is then to solve an algebraic system. Gröbner bases is a classical technic to do so. We have applied this approach to evaluate the hardness of various problems underlying the security of most quantum-resistant algorithms : multivariate schemes, code-based as well as lattice-based schemes. It appears that algebraic cryptanalysis an important tool for evaluating the security of quantum-resistant algorithms. I am also involved and motivated by industrial transfert in post-quantum cryptography.