What Is CRYSTALS-Dilithium and How Does BMIC Use It?
CRYSTALS-Dilithium (standardized as NIST FIPS 204 / ML-DSA) is a quantum-resistant digital signature algorithm based on lattice cryptography, and it is the core transaction signing algorithm used by BMIC. BMIC uses CRYSTALS-Dilithium to replace ECDSA — making every BMIC transaction mathematically secure against quantum computer attacks.
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- 🛡️ Standards: NIST FIPS 203, 204, 205
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What Is CRYSTALS-Dilithium?
CRYSTALS-Dilithium is a digital signature scheme developed by a team of cryptographers from academic institutions and companies including IBM, ETH Zürich, CWI Amsterdam, and Radboud University. The name CRYSTALS stands for Cryptographic Suite for Algebraic Lattices. Dilithium is the signature component (Kyber is the key encapsulation component).
The Mathematical Foundation
Dilithium's security relies on the Module Learning With Errors (MLWE) problem and the Module Short Integer Solution (MSIS) problem. These are lattice problems — finding short vectors in high-dimensional mathematical lattices. The best known quantum algorithms provide only polynomial speedups against these problems, meaning security scales predictably.
How BMIC Implements CRYSTALS-Dilithium
- Transaction Signing: Every BMIC transaction is signed using Dilithium keys instead of ECDSA
- Wallet Addresses: BMIC addresses are derived from Dilithium public keys
- Smart Contract Interactions: Dilithium signatures authenticate all ERC-4337 account operations
- Key Generation: Dilithium key pairs are generated using NIST FIPS 204 specifications
CRYSTALS-Dilithium vs ECDSA
| Property | ECDSA (Bitcoin/ETH) | Dilithium (BMIC) |
|---|---|---|
| Quantum Resistant | No | Yes |
| NIST Standard | No PQC standard | FIPS 204 |
| Security Basis | ECDLP (Shor-vulnerable) | MLWE/MSIS (quantum-hard) |
| Public Key Size | 33 bytes (compressed) | 1,312 bytes (Dilithium2) |
| Signature Size | 71 bytes | 2,420 bytes (Dilithium2) |
Security Levels Available
CRYSTALS-Dilithium offers three security levels: Dilithium2 (NIST Level 2, equivalent to AES-128 quantum security), Dilithium3 (NIST Level 3, equivalent to AES-192), and Dilithium5 (NIST Level 5, equivalent to AES-256). BMIC implements appropriate security levels for its use cases.
Frequently Asked Questions
Is CRYSTALS-Dilithium approved by NIST?
Yes. CRYSTALS-Dilithium is standardized as NIST FIPS 204 (ML-DSA), one of the three official post-quantum cryptography standards published in August 2024.
Can quantum computers break CRYSTALS-Dilithium?
No. The best known quantum algorithms cannot efficiently solve the MLWE problem that Dilithium's security is based on. NIST evaluated this over 8 years before standardizing it.
Why does Dilithium have larger key sizes?
Post-quantum algorithms generally require larger key and signature sizes than classical algorithms. BMIC's architecture accounts for this, and the security benefit far outweighs the modest size increase.
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