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

学生将开发基于格的密码学的新技术，并应用于隐私保护签名方案。特别是，基于格的群签名和环签名方案通常依赖于强假设，在theirsecurity证明，以允许更有效的建设，然而，这些强假设不准确地模拟现实世界的行为离开由此产生的原语开放的漏洞。该项目将提出新的组和环签名，绕过不切实际的模型的需要，同时保持可用的效率和功能。为了证明这一点，学生将需要探索新的证明技术，可以应用于上述原语。

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.&