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ML-KEM from Scratch

Part 1 — Prerequisites (optional)

Notebook 00a — Why post-quantum cryptography?
Notebook 00b — Classical crypto recap
Notebook 00c — Math toolbox

Part 2 — Core: Building ML-KEM

Notebook 01 — What is a lattice?
Notebook 02 — The LWE problem
Notebook 03 — Break it yourself
Notebook 04 — Polynomial rings and NTT
Notebook 05 — Ring-LWE and Module-LWE
Notebook 06 — ML-KEM (FIPS 203)
Notebook 07 — Does it actually work?
Notebook 08 — Hybrid KEM: classical + post-quantum
Notebook 09 — What we built

Part 3 — Beyond ML-KEM

Notebook 10 — KEMs are half the story: signatures and friends
Notebook 11 — Deployment, FAQ, glossary

Part 4 — Quantum Reckoning

Notebook 12 — Quantum basics: qubits as complex vectors
Notebook 13 — QFT and period finding
Notebook 14 — Shor breaks RSA
Notebook 15 — Shor vs. the lattice

Part 5 — Breaking It for Real

Notebook 16 — LLL basis reduction
Notebook 17 — BKZ and scaling
Notebook 18 — Primal attack on LWE
Notebook 19 — ML-KEM parameters and the estimator

Index

By hulryung