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EGC HBS

Antonis Valamontes edited this page Mar 10, 2025 · 1 revision

Entangled Geometric Cryptography Hash-Based Signatures (EGC HBS)

Overview

Entangled Geometric Cryptography Hash-Based Signatures (EGC HBS) is a post-quantum cryptographic signature scheme designed to provide secure, tamper-proof authentication for blockchain transactions, validator authentication, and smart contract execution in NovaNet Chain. By integrating entangled geometric cryptographic structures with hash-based digital signatures, EGC HBS ensures quantum-resistant and collision-free digital identity verification.

NovaNet Chain integrates EGC HBS to:

  • Provide post-quantum secure digital signatures using entangled geometric cryptography.
  • Prevent quantum-enabled attacks on validator authentication and blockchain transactions.
  • Enable efficient, lightweight cryptographic verification for high-speed blockchain execution.
  • Enhance Zero-Knowledge Proofs (QZKPs) with quantum-resistant signature commitments.

1. Why Traditional Digital Signatures Are Vulnerable

Current digital signature schemes, such as ECDSA and RSA, are at risk of being broken by Shor’s Algorithm. Quantum computers can efficiently solve the factorization problem and discrete logarithm problem, making existing cryptographic security obsolete.

Feature ECDSA (Traditional Signatures) EGC HBS (Post-Quantum Secure)
Security Against Quantum Attacks Vulnerable to Shor’s Algorithm Quantum-resistant, hash-based cryptography
Signature Verification Based on elliptic curve math Uses geometric lattice structures & quantum entropy hashing
Randomness Source Pseudo-random (software-based RNG) Quantum-randomized entropy using QRNG
Resistance to Key Recovery Attacks Vulnerable to key reconstruction Tamper-proof against quantum decryption
  • EGC HBS eliminates these risks by leveraging geometric cryptographic structures and entangled hash-based signing.

2. How EGC HBS Works

2.1 Quantum-Secured Hash-Based Signature Construction

EGC HBS signatures are based on geometrically entangled cryptographic structures, ensuring resistance to quantum decryption attacks.

Mathematical Model for EGC HBS Signature Generation

A digital signature $$S$$ is generated as:

$$S_{EGC HBS} = H_{geo}(M) \times S_{priv} + e$$

Where:

  • $$H_{geo}(M)$$ is the entangled geometric hash of the message.
  • $$S_{priv}$$ is the private signing key.
  • $$e$$ is a geometric noise vector ensuring post-quantum resistance.
  • Ensures collision resistance and tamper-proof identity verification.

2.2 Entangled Hash Function for Geometric Cryptography

EGC HBS introduces a quantum-secure hash function that operates in entangled geometric space.

Mathematical Model for Quantum-Resistant Hashing

A geometric cryptographic hash function is defined as:

$$H_{geo}(X) = H(X) \times Q_{rand}(X)$$

Where:

  • $$H(X)$$ is the original cryptographic hash.
  • $$Q_{rand}(X)$$ is quantum-randomized entropy from QRNG.
  • Prevents quantum-enabled collision attacks.
  • Enhances blockchain transaction security by ensuring unique digital signatures.

2.3 Efficient Signature Verification for Blockchain Transactions

EGC HBS is designed for high-speed blockchain execution, enabling efficient signature verification.

Mathematical Model for Signature Verification

A transaction signature is verified as:

$$V_{EGC HBS}(S, M) = H_{geo}(M) \times P_{pub}$$

Where:

  • $$S$$ is the EGC HBS digital signature.
  • $$M$$ is the message being verified.
  • $$P_{pub}$$ is the public key of the signer.
  • Ensures blockchain transactions remain quantum-secure and fraud-resistant.
  • Enables validator authentication without risk of quantum-enabled key reconstruction.

3. Security Enhancements of EGC HBS

3.1 Tamper-Proof Digital Signatures

  • Quantum-resistant hash-based signing prevents forgery.
  • Entangled cryptographic structures ensure signature uniqueness.

3.2 Resistance to Replay Attacks

  • Each signature is unique due to QRNG-based entropy.
  • Signatures cannot be reused or duplicated.

3.3 Quantum-ZK Proof Enhancements

  • Zero-Knowledge Proofs (QZKPs) integrate with EGC HBS for post-quantum identity verification.
  • Ensures privacy-preserving blockchain authentication.

4. Implementation in NovaNet’s Blockchain Security

EGC HBS is integrated within NovaNet’s post-quantum cryptographic framework, ensuring tamper-proof digital signatures for validator authentication, smart contracts, and private transactions.

NovaNet Component EGC HBS Implementation
Quantum Random Number Generation (QRNG) Provides entropy for hash-based digital signatures.
Quantum Key Distribution (QKD) Ensures tamper-proof validator authentication.
Entangled Hash-Based Cryptography Protects transactions from quantum-enabled signature forgery.
Quantum-ZK Proofs (QZKPs) Enhances privacy-preserving authentication for validator identity verification.
  • Prevents digital signature tampering, quantum-enabled forgery, and replay attacks.

5. Quantum-Optimized Signature Scaling

  • EGC HBS is optimized for high-throughput blockchain transactions.
  • Signatures are validated in constant-time verification operations.

Mathematical Model for Signature Scaling Efficiency

The signature verification complexity is:

$$T_{verify}(S) = O(log(N))$$

Where:

  • $$N$$ is the number of blockchain transactions being processed.
  • $$O(log(N))$$ ensures high-speed transaction validation.
  • Scales efficiently for high-performance blockchain ecosystems.

6. Future Research & Enhancements

  • AI-Optimized Quantum Hash-Based Signatures – Using machine learning to refine cryptographic entropy structures.
  • Quantum-ZK Proof Scaling for Private Transactions – Enhancing confidential smart contract execution.
  • Post-Quantum Digital Identity Security – Implementing QKD-based authentication for validator ID management.

7. Conclusion

Entangled Geometric Cryptography Hash-Based Signatures (EGC HBS) ensures:

  • Quantum-resistant, hash-based digital signature authentication.
  • Secure validator authentication, smart contracts, and decentralized identity management.
  • Post-quantum cryptographic integrity across all blockchain transactions.

EGC HBS is a breakthrough in post-quantum digital security, ensuring scalable, quantum-safe, and tamper-proof cryptographic signing in NovaNet’s ecosystem.

For full implementation details, refer to:

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