Cryptanalysis of Isogeny-BasedPost-Quantum Cryptography

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Large-scale universal quantum computers could emerge anywhere within the next 10 to 30 years, threatening to break public-key cryptography in use today. Progress is being made to establish new post-quantum secure cryptographic standards. This project will contribute to the cryptanalysis of these new schemes, initially focusing on isogeny-based schemes, by studying the underlying hard problems mathematically. Results will feature new attacks or proofs of security against them, considering attack feasibility and potential mitigations. Discoveries made could inform standardisation efforts, and protocol design.