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Daniele Micciancio

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Mathematics of LatticesLattices: Algorithms, Complexity, and Cryptography Boot Camp 20202020-01-21
Straightforward introduction to lattice math with no new results: precise definitions (determinant, successive minima, covering radius), basic theorems…
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The Short Integer Solutions Problem and Cryptographic ApplicationsLattices: Algorithms, Complexity, and Cryptography Boot Camp 20202020-01-21
Defines SIS as solving A·x ≡ y (mod q) for short x (typically n, m, q matrix A and x in {0,1}^m), proves average-case hardness by reducing worst-case lattice…
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Lattice-Based Zero Knowledge and ApplicationsZK Day 2019: Blockchains, Micropayments and Zero Knowledge2019-04-13
Gives interactive zero‑knowledge proofs for lattice problems and shows the closest‑vector language lies in SZK, ruling out NP‑hardness for useful approximation…
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Historical Talk on Lattice-Based CryptographyThe Mathematics of Modern Cryptography2015-07-06
Ajtai’s 1996 paper introduces a worst-case to average-case reduction for lattice problems and spawns the SIS/LWE reductions that underpin modern schemes; 1998…
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