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.

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