implementing-zero-knowledge-proof-for-authentication

# Implementing Zero-Knowledge Proof for Authentication ## Overview Zero-Knowledge Proofs (ZKPs) allow a prover to demonstrate knowledge of a secret (such as a password or private key) without revealing the secret itself. This skill implements the Schnorr identification protocol and a simplified ZKPP (Zero-Knowledge Password Proof) using the discrete logarithm problem, enabling authentication where the server never learns the user's password. ## When to Use - When deploying or configuring implementing zero knowledge proof for authentication capabilities in your environment - When establishing security controls aligned to compliance requirements - When building or improving security architecture for this domain - When conducting security assessments that require this implementation ## Prerequisites - Familiarity with cryptography concepts and tools - Access to a test or lab environment for safe execution - Python 3.8+ with required dependencies installed - Appropriate authorization for any testing activities ## Objectives - Implement Schnorr's identification protocol for ZKP authentication - Build a non-interactive ZKP using Fiat-Shamir heuristic - Implement zero-knowledge password proof (ZKPP) - Demonstrate completeness, soundness, and zero-knowledge properties - Compare ZKP authentication with traditional password verification ## Key Concepts ### ZKP Properties | Property | Description | |----------|------------| | Completeness | Honest prover always convinces hon...