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A Gentle Introduction to Lattice-Based Cryptography Alfred Menezes University of Waterloo Email: ajmeneze@uwaterloo.ca URL: https://cryptography101.ca Version 3.2: September 1, 2026 Abstract We present four quantum-safe schemes: the Kyber (ML-KEM) and FrodoKEM key encapsulation mechanisms, and the Dilithium (ML-DSA) and Falcon (FN-DSA) signature schemes. We also develop the mathematical background on lattices…

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