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dc.contributor.authorLeGrow, Jason 18:38:00 (GMT) 18:38:00 (GMT)
dc.description.abstractWe present a security model for authenticated key establishment that allows for quantum interactions between the adversary and quantum oracles that emulate classical parties, resulting in a truly post-quantum security definition. We then give a generic construction for a secure protocol in the quantum random oracle model by combining a signature scheme which is existentially unforgeable under adaptive quantum chosen message attack in the quantum random oracle model (EUF-qCMA-QRO secure) with an unauthenticated key establishment protocol which is secure against a passive adversary. This construction allows us to give an explicit example of a secure protocol whose security is based on a variant of the Diffie-Hellman problem for isogenies of supersingular elliptic curves; in particular, generic security-strengthening transformations allow us to take a signature scheme which is EUF-CMA-RO secure against a quantum adversary and transform it into an EUF-qCMA-QRO signature scheme, which we combine with a standard secure unauthenticated key establishment protocol to achieve the desired result.en
dc.publisherUniversity of Waterlooen
dc.subjectKey Establishmenten
dc.subjectElliptic Curve Cryptographyen
dc.subjectPost-Quantum Cryptographyen
dc.titlePost-Quantum Security of Authenticated Key Establishment Protocolsen
dc.typeMaster Thesisen
dc.pendingfalse and Optimizationen and Optimizationen of Waterlooen
uws-etd.degreeMaster of Mathematicsen
uws.contributor.advisorJao, David
uws.contributor.affiliation1Faculty of Mathematicsen

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