Develop new techniques for lattice-based cryptography with application to privacy-preserving signature schemes.

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The student will develop new techniques for lattice-based cryptography with application to privacy-preserving signatureschemes. In particular, lattice-based group and ring signature schemes typically rely on strong assumptions in theirsecurity proofs to allow for more efficient constructions, however, these strong assumptions do not accurately model realworld behaviour leaving the resulting primitives open to vulnerabilities. The project will propose new group and ringsignatures that bypass the need for unrealistic models, whilst maintaining usable efficiency and functionality. To achievethis, the student will need to explore novel proof techniques that can be applied to the aforementioned primitives.&