| name | implementing-zero-knowledge-proof-for-authentication |
| description | 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 identificati. Use when working with implementing zero knowledge proof for authentication. |
| domain | cybersecurity |
| subdomain | cryptography |
| tags | ["cryptography","zero-knowledge-proof","authentication","privacy","zkp"] |
| version | 1.0 |
| author | oyi77 |
| license | Apache-2.0 |
| nist_csf | ["PR.DS-01","PR.DS-02","PR.DS-10"] |
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
Trigger phrases:
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"implementing zero knowledge proof for authentication"
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"Zero-Knowledge Proofs (ZKPs) allow a prover to demonstrate knowledge of a secret"
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When deploying or configuring implementing zero knowledge proof for authentication capabilities in your environment
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When establishing security controls aligned to compliance requirements
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When building or improving security architecture for this domain
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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
This section covers key concepts for implementing zero knowledge proof for authentication.
- Ensure all prerequisites are met before proceeding
- Follow the documented workflow steps in sequence
- Record results and any anomalies encountered during this phase
ZKP Properties
| Property | Description |
|---|
| Completeness | Honest prover always convinces honest verifier |
| Soundness | Dishonest prover cannot convince verifier (except negligible probability) |
| Zero-Knowledge | Verifier learns nothing beyond the statement's truth |
Schnorr Protocol
- Setup: Public generator g, prime p, q (order of g)
