Cryptography

• Lattice-Based Cryptography: Learning With Errors and the Road to Fully Homomorphic Encryption · 2025-08-24

  Enter the post-quantum world of lattice-based cryptography: the Learning With Errors (LWE) problem, its reduction from worst-case lattice problems, the construction of basic encryption from LWE, and the stunning breakthrough of fully homomorphic encryption that computes on encrypted data.

• Zero-Knowledge Proofs: From Interactive Protocols to zk-SNARKs and Practical Verifiable Computation · 2025-04-24

  Build zero-knowledge proofs from the ground up: the simulation paradigm, Schnorr's protocol for discrete log, the transformation to non-interactive via Fiat-Shamir, and the engineering of modern zk-SNARKs for verifiable computation.