Threshold Cryptography I: Distributed Key Generation

This post is an introductory technical overview of threshold cryptography and distributed key generation for blockchain contexts: it explains Shamir’s Secret Sharing, Feldman’s Verifiable Secret Sharing for share verification, key distribution with a trusted dealer, and Pedersen’s two-round Distributed Key Generation where the final secret is the sum of participants' shares; it concludes with a comparison of trusted-dealer versus distributed approaches and notes a follow-up covering the FROST protocol.