Research on the Mathematical Foundations of Post-Quantum Cryptography for the Societal Implementation
| Reference No. | 2024a023 |
|---|---|
| Type/Category | Grant for Young Researchers and Students-Short-term Joint Research |
| Title of Research Project | Research on the Mathematical Foundations of Post-Quantum Cryptography for the Societal Implementation |
| Principal Investigator | Yusuke Aikawa（Graduate School of Information Science and Technology, The University of Tokyo・Assistant Professor） |
| Research Period |
July 16,2024. ～
July 19,2024. |
| Keyword(s) of Research Fields | Post-Quantum Cryptography, Lattice-based Cryptography, Code-based Cryptography, Multivariate Cryptography, Isogeny-based Cryptography, MPC-in-the-Head |
| Abstract for Research Report |
Since 2016, the standardization process for post-quantum cryptography have been led by NIST. However, due to a lack of candidates, an additional call for submissions targeting digital signatures was issued in 2023. As a result, 40 new schemes were added to the candidate list. These schemes aim for practicality and require careful monitoring. In this project, experts from various scheme categories, including lattice-based cryptography and code-based cryptography and so on, gather to share information on the current state of the standardization and researches, focusing on the newly added schemes. Furthermore, by making this information accessible to the industry, we aim to contribute to the future societal implementation of post-quantum cryptography. Specifically, some of the new schemes are designed under new computational assumptions, highlighting the importance of rigorous security analysis through understanding their mathematical foundations. This understanding is crucial for achieving secure communications in the quantum information society. Additionally, the efficiency of post-quantum cryptography poses an industrial problem. In this joint research effort, we analyze these issues from a mathematical perspective and engage in discussions regarding their security and improvements of efficiency. Through these discussions and by widely sharing mathematical and practical issues with the industry, we aim to facilitates the smooth shift to post-quantum cryptography. |
| Organizing Committee Members (Workshop) Participants (Short-term Joint Usage) |
Yasuhiko Ikematsu（Institute of Mathematics for Industry, Kyushu University・Assistant Professor） Shintaro Narisada（KDDI Research・Core Researcher） Hiroki Furue（NTT Social Informatics Laboratories・Researcher） |