Periodic Reporting for period 2 - CLOUDMAP (Cloud Computing via Homomorphic Encryption and Multilinear Maps)
Reporting period: 2020-04-01 to 2021-09-30
The goal of the CLOUDMAP project is to make the new advanced cryptographic tasks usable in practice, so that citizens do not have to compromise on the privacy and security of their input data. This goal can only be achieved by considering the mathematical foundations of these primitives, working “from first principles”, rather than focusing on premature optimizations. To achieve this goal, our first objective will be to better understand the security of the underlying primitives of multilinear maps and iO schemes. Our second objective will be to develop new approaches to significantly improve their efficiency. Our third objective will be to build applications of multilinear maps and iO that can be implemented in practice.
1) Jean-Sébastien Coron, Hilder V. L. Pereira. On Kilian's Randomization of Multilinear Map Encodings. ASIACRYPT (2) 2019: 325-355
In this work, we have described a new multipartite key-exchange, based on multilinear maps.
2) Jean-Sébastien Coron, Luca Notarnicola. Cryptanalysis of CLT13 Multilinear Maps with Independent Slots. ASIACRYPT (2) 2019: 356-385
In this work, we have described an attack against CLT13 multilinear maps with independent slots.
We have also introduced new cryptanalytic techniques for better understanding the security of multilinear maps.
The expected results are improvements in the performances and security of fully homomorphic encryption and multilinear map algorithms.