PQ‐Sigs - Galactic-Code-Developers/NovaNet GitHub Wiki

Post-Quantum Signatures (PQ-Sigs) in NovaNet

1. Introduction to PQ-Sigs

Post-quantum signatures (PQ-Sigs) ensure cryptographic security even against quantum attacks. NovaNet integrates PQ-Sigs to protect blockchain transactions, validator authentication, and smart contract execution.

1.1 Why Post-Quantum Signatures?

Traditional cryptographic signatures (ECDSA, RSA) rely on integer factorization and elliptic curve cryptography (ECC), both of which are vulnerable to quantum computing via Shor’s Algorithm.

  • PQ-Sigs use lattice-based, hash-based, and multivariate polynomial cryptography to secure blockchain transactions.
  • NovaNet's PQ-Sigs implementation ensures future-proof validator authentication, governance voting, and AI-powered transaction security.

2. NovaNet's Implementation of PQ-Sigs

NovaNet integrates NIST-approved post-quantum digital signature schemes, including:

  • CRYSTALS-DILITHIUM – High-speed lattice-based signature algorithm
  • FALCON – Compact lattice-based post-quantum signatures
  • SPHINCS+ – Stateless hash-based signatures for long-term security

2.1 Post-Quantum Signature Scheme Comparison

Signature Scheme Type Advantages Use in NovaNet
CRYSTALS-DILITHIUM Lattice-Based Fast signature verification Validator authentication
FALCON Lattice-Based Small signature size Transaction signing
SPHINCS+ Hash-Based Quantum-resistant long-term security AI-powered fraud detection

3. PQ-Sigs for Validator Authentication

Validators must sign blocks using PQ-Sigs, ensuring that block signatures remain quantum-resistant.

Mathematical Model for PQ-Sig Validator Authentication

Let:

  • $$PK_V$$ be the public key of the validator.
  • $$SK_V$$) be the private key of the validator.
  • $$M$$ be the block data.
  • $$\sigma$$ be the post-quantum signature.

$$\sigma = PQSign(SK_V, M)$$

Verification:

$$PQVerify(PK_V, M, \sigma) = \text{TRUE}$$

If TRUE, the validator is authenticated. If FALSE, the block is rejected.


4. PQ-Sigs for AI-Powered Smart Contracts

NovaNet smart contracts use PQ-Sigs for secure execution. The AI-based contract engine verifies quantum-resistant digital signatures before executing critical contract functions.

4.1 Post-Quantum Digital Signature in Smart Contracts

Feature PQ-Sigs Advantage
Smart Contract Function Signing Prevents contract tampering
AI-Verified Signature Authentication AI detects anomalies in digital signatures
Validator Signature Consistency Ensures consensus integrity
Governance Proposal Security Prevents vote manipulation

5. AI-Driven PQ-Sig Fraud Detection

NovaNet uses AI models to detect anomalies in post-quantum signatures, ensuring that forged transactions are instantly identified and rejected.

  • AI-based PQ-Sig anomaly detection prevents Sybil attacks.
  • AI-enhanced validator fraud detection ensures signature consistency across blocks.
  • PQ-Sig smart contract signing ensures that governance votes remain tamper-proof.

6. PQ-Sigs for Cross-Chain Security

NovaNet supports quantum-resistant cross-chain transactions using PQ-Sigs, ensuring quantum-secure interoperability with Ethereum, Polkadot, and Cosmos.

  • PQ-Sig verification for Ethereum-based assets bridged into NovaNet
  • Quantum-safe validator authentication across multiple blockchains
  • AI-assisted PQ-Sig verification in smart contract cross-chain executions

7. Future Enhancements & Research

🔲 Integration of PQ-Sigs into Zero-Knowledge Proofs (ZKPs)
🔲 Quantum-Resistant MPC (Multi-Party Computation) with PQ-Sigs
🔲 Lattice-Based Threshold Signature Schemes for Decentralized Validators
🔲 Quantum-Proof Identity & Authentication for Self-Sovereign Identities (SSI)


NovaNet’s Post-Quantum Signatures (PQ-Sigs) ensure:

  • Quantum-resistant validator authentication
  • Secure blockchain transactions against quantum threats
  • AI-powered anomaly detection for signature fraud prevention
  • Secure smart contract execution with cryptographic integrity

With lattice-based and hash-based PQ-Sig integration, NovaNet is future-proofed against quantum computing attacks.