AIM Workshop — Post-quantum group-based cryptography

This workshop, sponsored by AIM and the NSF, will be devoted to developing post-quantum group-based cryptosystems with rigorous security analysis. The goal of Post-Quantum Cryptography (PQC) is to design cryptosystems which are secure against classical and quantum adversaries. A fundamental assumption in PQC is that there are some computational problems that remain hard in the quantum setting. The main families of PQC systems include code-based, hash-based, lattice-based, and multivariate-based and isogeny-based cryptography. Recent attacks on popular NIST candidates, multivariate- and isogeny-based systems, emphasized the need for diversity of post-quantum approaches and pushed NIST to issue a new call for post-quantum signature schemes in 2023. The purpose of this workshop is to explore an alternative approach to design post-quantum schemes : namely, group-based cryptography. This is another traditional approach for PQC that received less attention than the families mentioned above.