A Gentle Introduction to Lattice-Based Cryptography

A primer PDF hosted at cryptography101.ca walks readers through the mathematical foundations of lattice-based cryptography, the leading family of post-quantum schemes now being standardized to replace RSA and elliptic-curve systems vulnerable to Shor’s algorithm. Lattices — discrete grids of points in high-dimensional space — underpin hard problems like Shortest Vector and Learning With Errors, which remain believed-secure against quantum attack.

The document is pitched as an accessible on-ramp rather than a research paper, aimed at readers who want to understand why NIST’s recently finalized standards (Kyber, Dilithium) work the way they do. With migration to post-quantum cryptography becoming a near-term operational concern for any team handling long-lived secrets or TLS, a clear introductory text is a useful reference for engineers who need conceptual grounding before touching libraries like liboqs or evaluating hybrid key exchange in production.