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dc.creatorRudy, Dylan
dc.date.accessioned2021-10-13T19:20:26Z
dc.date.available2021-10-13T19:20:26Z
dc.date.created2021-05
dc.date.issued2021-05
dc.date.submittedMay 2021
dc.identifier.urihttps://hdl.handle.net/2346/88093
dc.description.abstractThe Diffie-Hellman key exchange protocol introduced in 1976 allows two users, Alice and Bob, to establish a shared secret key K over insecure communication channels. With the rise of quantum computers, the protocol is in danger of becoming easily breakable. In response, several modified versions of Diffie-Hellman have been proposed claiming to be resistant to attacks performed by quantum computers. Two such protocols and use of a semidirect product creating a modified version of a Discrete Logarithm problem to provide security for Alice and Bob. Regardless of choosing a tropical semiring or a free nilpotent p-group, these protocols prove not only vulnerable to quantum attacks, but they can be attacked by a classical computer. By exploiting each of the platforms, an eavesdropper Eve needs only to figure out how to mimic Alice's contribution to the shared secret key without needing to copy Alice's exact operations. By doing so, Eve can efficiently recover the shared secret key K.
dc.description.abstractEmbargo status: Restricted to TTU community only. To view, login with your eRaider (top right). Others may request access exception by clicking on the PDF link to the left.
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.subjectCryptography
dc.subjectKey Exchange
dc.subjectAnalysis
dc.titleVulnerabilities of some semidirect products in Diffie-Hellman key exchanges
dc.typeThesis
dc.date.updated2021-10-13T19:20:28Z
dc.type.materialtext
thesis.degree.nameDoctor of Philosophy
thesis.degree.levelDoctoral
thesis.degree.disciplineMathematics
thesis.degree.grantorTexas Tech University
thesis.degree.departmentMathematics and Statistics
dc.contributor.committeeMemberChristensen, Lars
dc.contributor.committeeChairMonico, Chris
dc.contributor.committeeChairMcCarthy, Dermot
dc.rights.availabilityRestricted to TTU community only.


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