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Number Theory

College of Saint Benedict and Saint John's University

2022

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Full-Text Articles in Mathematics

Provably Weak Instances Of Plwe Revisited, Again, Katherine Mendel Feb 2022

Provably Weak Instances Of Plwe Revisited, Again, Katherine Mendel

CSB and SJU Distinguished Thesis

Learning with Errors has emerged as a promising possibility for postquantum cryptography. Variants known as RLWE and PLWE have been shown to be more efficient, but the increased structure can leave them vulnerable to attacks for certain instantiations. This work aims to identify specific cases where proposed cryptographic schemes based on PLWE work particularly poorly under a specific attack.