Int 6: Elliptic Curve Cryptography - Kriptografi Masa Depan

cd ~ && mkdir crypto-int6 && cd crypto-int6

python3 << 'PYEOF'
# Konsep: ECC menggunakan kurva y² = x³ + ax + b
# Keamanan dari Elliptic Curve Discrete Logarithm Problem (ECDLP)

print("=== RSA vs ECC - Key Size Comparison ==*")
print()
print(f"{'Security Level':<20} {'RSA bits':<15} {'ECC bits':<15} {'Ratio'}")
print("-"*60)
for level, rsa, ecc in [("80 (low)", 1024, 160, "6.4x"),
                          ("112", 2048, 224, "9.1x"),
                          ("128 (AES-128)", 3072, 256, "12x"),
                          ("192 (AES-192)", 7680, 384, "20x"),
                          ("256 (AES-256)", 15360, 521, "29x")]:
    print(f"{level:<20} {rsa:<15} {ecc:<15} {ratio}")
print()

print("=== ECC Key Generation ==*")
print("Bitcoin: ECDSA dengan secp256k1")
print("TLS 1.3: ECDHE dengan X25519 atau P-256")
print("Signal:  X25519 (Curve25519)")
print("WhatsApp: 25519 untuk end-to-end encryption")
print()

# Simulasi ECDHE (Elliptic Curve Diffie-Hellman Ephemeral)
print("=== ECDHE Key Exchange ==*")
print("Alice punya key pair: (dA, QA) - private, public")
print("Bob punya key pair:   (dB, QB)")
print("Alice: s = dA × QB (scalar × point)")
print("Bob:   s = dB × QA (scalar × point)")
print("✅ Shared secret SAMA!")
print()
print("Keuntungan ECDHE:")
print("  - Perfect Forward Secrecy (key ephemeral)")
print("  - Key lebih pendek (256 bit vs RSA 3072)")
print("  - Komputasi lebih cepat")
print("  - Digunakan di TLS 1.3, Signal, WhatsApp")
PYEOF