for this workshop
Post-quantum group-based cryptography
American Institute of Mathematics, Pasadena, California
Delaram Kahrobaei and Ludovic Perret
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.
The topics addressed during the workshop will include:
- Design of new group-based primitives
- Cryptanalysis of Group-based primitives
- Quantum analysis of hard problems arising in group-based cryptography
This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than January 8, 2024. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.
Before submitting an application, please read the description of the AIM style of workshop.
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