BeQuantum AI Blockchain White Paper

BeQuantum AI Blockchain

Post-Quantum Cryptography • Digital Assets • Decentralized Future

Version 0.3.196 MIT License CRYSTALS-Dilithium3 Testnet

🌟 Executive Summary

BeQuantum AI Blockchain represents a revolutionary blockchain platform built on the principles of post-quantum cryptography. In an era where quantum computers threaten to break traditional cryptographic algorithms (RSA, ECDSA), BeQuantum offers a robust solution resistant to quantum computing attacks.

🔐

CRYSTALS-Dilithium3

NIST-standardized post-quantum signatures from the CRYSTALS suite

🔑

CRYSTALS-KYBER

NIST-standardized post-quantum key encapsulation mechanism

📜

Digital Notary

Immutable registration of digital assets

🌐

Decentralization

P2P network with no single point of failure

🚀 Introduction

The Problem

Traditional blockchains (Bitcoin, Ethereum) use cryptography based on the difficulty of factoring large numbers or discrete logarithms. Shor's algorithm on a quantum computer can break these algorithms in minutes.

The BeQuantum Solution

We have implemented the CRYSTALS (Cryptographic Suite for Algebraic Lattices) family of algorithms:

  • CRYSTALS-Dilithium - Digital signatures (NIST Selected)
  • CRYSTALS-KYBER - Key encapsulation mechanism (NIST Selected)

Both algorithms are lattice-based and have passed NIST's rigorous 5-year standardization process.

# Example of post-quantum wallet generation
from dilithium_python import Dilithium3
from kyber_py import Kyber512

# Dilithium for signatures
public_key, private_key = Dilithium3.generate_keypair()
address = '0x' + hashlib.sha256(str(public_key).encode()).hexdigest()[:40]

# KYBER for key exchange
kyber_public, kyber_secret = Kyber512.keygen()

print(f"🔐 CRYSTALS-Dilithium Address: {address}")
print(f"🔐 CRYSTALS-KYBER Public Key: {kyber_public[:50]}...")

🔐 Post-Quantum Cryptography

Why CRYSTALS Suite?

Algorithm Type Key Size Signature Size Quantum Resistant NIST Status
RSA-2048Factoring256 B256 BLegacy
ECDSAElliptic Curves32 B64 BLegacy
Dilithium3Lattices1.2 KB2.7 KBSelected
KYBER-512Lattices800 BN/ASelected

How It Works

CRYSTALS-Dilithium is based on the hardness of the Module Learning With Errors (MLWE) problem:

public_key = (A, t = As₁ + s₂)
signature = (z, h) where z = y + cs₁

CRYSTALS-KYBER is based on the Module LWE problem for key exchange:

Alice: (pk, sk) = KYBER.keygen()
Bob: (c, ss_bob) = KYBER.encaps(pk)
Alice: ss_alice = KYBER.decaps(c, sk)
💡 Quantum Resistance: Even quantum computers cannot efficiently solve these lattice problems!
# Example of KYBER key exchange
from kyber_py import Kyber512

pk, sk = Kyber512.keygen()
c, ss_bob = Kyber512.encap(pk)
ss_alice = Kyber512.decap(c, sk)
assert ss_alice == ss_bob

🏗 Blockchain Architecture

Block Structure

{
  "index": 42,
  "timestamp": 1709123456.789,
  "transactions": [...],
  "previous_hash": "0000...a1b2c3",
  "nonce": 123456,
  "hash": "0000...d4e5f6"
}

Proof of Work

Mining difficulty: 3 leading zeros

def proof_of_work(block):
    block.nonce = 0
    while not block.compute_hash().startswith('0' * difficulty):
        block.nonce += 1
    return block.hash

📜 Digital Notary

Registering Digital Assets

  • 📄 Documents
  • 🎨 Images
  • 💻 Source Code
  • 🎵 Music Files
  • 📹 Video Content
# File registration
asset_tx = AssetTransaction.create_asset(
    file_hash="e3b0c442...",
    metadata={"name": "doc.pdf"},
    owner_address="0x742d...",
    public_key=pub_key,
    private_key=priv_key
)

Ownership Verification

curl -X POST <api_host>/asset/verify \
  -H "Content-Type: application/json" \
  -d '{"file_hash": "e3b0c442...", "owner_address": "0x742d..."}'

💼 Wallets and Transactions

Creating a Wallet

curl -X POST <api_host>/wallets/create \
  -H "Content-Type: application/json" \
  -d '{"name": "my_wallet"}'
⚠️ IMPORTANT: Save your private key securely! It will not be shown again.

⛏ Consensus and Mining

Block reward: 1.0 coin
Transaction fees: all fees from transactions
curl -X POST <api_host>/mine \
  -H "Content-Type: application/json" \
  -d '{"miner": "miner_address"}'

📡 API Reference

MethodEndpointDescription
GET/Web interface
GET/healthHealth check
POST/wallets/createCreate wallet
GET/balance/<addr>Get balance
POST/new_transactionSend coins
GET/chainView blockchain
POST/mineMine block

🛡 Security

128b
Classical
64b
Quantum
2.7KB
Signature
1.2KB
Dilithium Key
128b
KYBER Classical
64b
KYBER Quantum
800B
KYBER Key
768B
Ciphertext

💡 Use Cases

Secure Document Management

contract_hash = hashlib.sha256(contract.encode()).hexdigest()
asset_tx = AssetTransaction.create_asset(
    file_hash=contract_hash,
    metadata={"type": "legal_contract"},
    owner_address=addr,
    public_key=pub,
    private_key=priv
)

🗺 Roadmap

  • ✅ Version 1.0: Dilithium3, PoW, Digital Notary
  • 🔄 Version 1.5: KYBER integration, Smart Contracts
  • 🚀 Version 2.0: Ethereum Bridge, DeFi, DAO
  • 🌟 Version 3.0: Sharding, ZK-proofs, AI Integration

📊 Technical Specs

Block size1 MB
Block time~5 min
Block reward1.0 coin
TX/second~10-15

📄 License

MIT License - complete freedom to use, modify, and distribute.