Kyber-768 Algorithm Deep Dive: ML-KEM Explained

Kyber-768, now standardized as ML-KEM-768 (Module-Lattice-Based Key Encapsulation Mechanism) under FIPS 203, is the key exchange algorithm used in the SynX quantum-resistant wallet.

What Is Kyber?

Kyber is a key encapsulation mechanism (KEM) that enables two parties to establish a shared secret over an insecure channel:

• Replaces Diffie-Hellman key exchange
• Based on lattice cryptography
• Resistant to quantum attacks
• Selected by NIST after extensive evaluation

How Kyber Works

Key Generation:

• Generate matrix A from public seed
• Create secret vectors s and e (small errors)
• Compute t = As + e (public key)
• Private key contains secret vector s

Encapsulation:

• Sender creates random message m
• Compute ciphertext using recipient's public key
• Shared secret derived from encapsulation

Decapsulation:

• Recipient uses private key to recover message
• Same shared secret computed
• Secure communication channel established

Security Parameters

The SynX quantum-resistant wallet uses Kyber-768 for balanced security and efficiency.

Lattice Problem Foundation

Kyber's security rests on Module-LWE (Learning With Errors):

• Given matrix A and t = As + e, finding s is hard
• Small error vector e provides security margin
• No known quantum algorithm solves LWE efficiently
• Decades of cryptographic research supports hardness

Why Kyber-768?

• NIST Level 3 security (recommended baseline)
• Matches AES-192 classical security
• Performance suitable for wallet operations
• Conservative choice for long-term security

Implementation in SynX

The SynX quantum-resistant wallet applies Kyber-768 for:

• Secure address derivation
• Private transaction data encryption
• Key exchange during network communication

Frequently Asked Questions

Could Kyber be broken by future research?

Possible but unlikely. NIST evaluation included extensive cryptanalysis. The SynX quantum-resistant wallet can upgrade if needed.

Why not use Kyber-1024 for maximum security?

Kyber-768 provides strong security with better performance. Higher levels available if threat model changes.