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Security Parameter Bounds for Attacks on the Ring Learning with Errors Decision Problem

Days-Merrill, Sarah
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Abstract
Lattice-based cryptography has attracted renewed attention due to recent advances in quantum computing. Since Gentry introduced Ring Learning with Errors (RLWE) in 2008, researchers have developed attacks which exploit vulnerabilities of underlying number fields (primarily 2-power cyclotomic fields) with some study on the security parameter bounds. We will discuss the Chi-Squared Attack which solves the RLWE decision problem in some instances. We aim to explore the known security parameter bounds for this attack and find tighter bounds for 2-power cyclotomic fields
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Date
2023-01-01
Student Status
Graduate
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Type of presentation
Poster Presentation
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UVM Student Research Conference
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URI
https://hdl.handle.net/20.500.14849/8575
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Advisor(s)
Christelle Vincent
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Program/Major
Mathematics
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College of Engineering and Mathematical Sciences
Graduate College
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Engineering and Math Science
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