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Chris Peikert

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Improved Hardness of BDD and SVP Under Gap-(S)ETHITCS 20222022-01-31
Shows fine-grained hardness reductions from SAT to lattice problems using locally dense gadgets and two-point counts, proving BDD cannot be solved in 2^{o(n)}…
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Panel Discussion: Computational AssumptionsSimons Institute Workshop: New Developments in Obfuscation2020-12-10
Debate-focused panel that argues specifics: who bets on PRG in NC0 versus structured assumptions like SXDH vulnerable to quantum, practical strength of LWE…
Panel on
The Learning With Errors Problem and Cryptographic ApplicationsLattices: Algorithms, Complexity, and Cryptography Boot Camp 20202020-01-21
Defines LWE with modulus q (typically polynomial in n) and Gaussian error (std ≈ √n), proves a quantum worst-case to average-case reduction from GapSVP/SIVP…
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Algebraic Lattices and Ring Learning with ErrorsLattices: Algorithms, Complexity, and Cryptography Boot Camp 20202020-01-21
Defines Ring-LWE over integer polynomial rings, proves a quantum worst-case→average-case reduction from approximate SIVP on ideal lattices, and gives a…
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Finding Short Generators of Principal IdealsThe Mathematics of Modern Cryptography2015-07-06
Given a principal ideal presented by a bad basis, the result proves a classical polynomial‑time method to recover the short generator (up to trivial unit…
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