On the suitability of parallel computer architectures for attacks on lattice-based cryptography

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With the development of quantum computers, the landscape of cryptography will have to be redefined, given that current cryptosystems will be vulnerable against quantum attacks. Currently, lattice-based cryptosystems are very promising candidates for postquantum computing. However, we are still maturing our understanding of their security. In particular, we need to assess the potential of attacks against these cryptosystems, so we are able to determine their actual safeness. This also helps us to determine the security parameters for the cryptosystems, as they are set based on the practical performance of attacks, on powerful, parallel computer architectures. In this project, we propose to 1) deepen our knowledge of attacks against latticebased cryptosystems, to which end we will use different computer architectures and 2) develop tools for the development of practical, parallel lattice-based cryptanalysis.