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What Is CRYSTALS-Dilithium?

Quick Answer: CRYSTALS-Dilithium (now ML-DSA, NIST FIPS 204) is a lattice-based post-quantum digital signature algorithm. It replaces ECDSA for signing crypto transactions. BMIC uses CRYSTALS-Dilithium to make its wallet signatures quantum-resistant.

CRYSTALS-Dilithium: The Future of Crypto Signatures

What Is It?

CRYSTALS-Dilithium (standardised as ML-DSA in NIST FIPS 204) is a lattice-based digital signature algorithm designed to resist quantum computer attacks. It's part of the CRYSTALS (Cryptographic Suite for Algebraic Lattices) family.

Why It Matters for Crypto

Every time you send cryptocurrency, your wallet uses a digital signature algorithm to prove you authorised the transaction. Bitcoin and Ethereum use ECDSA (Elliptic Curve Digital Signature Algorithm).

Problem: A quantum computer running Shor's algorithm can break ECDSA and recover private keys from public keys. Once a quantum computer is powerful enough, any address with an exposed public key (i.e., any address that has ever sent a transaction) becomes vulnerable.

CRYSTALS-Dilithium solves this. Its security is based on the hardness of Module Learning With Errors (MLWE) and Module Short Integer Solution (MSIS) problems — which are believed to be hard for quantum computers.

NIST FIPS 204

NIST standardised CRYSTALS-Dilithium as FIPS 204 (ML-DSA) in August 2024. This makes it an official US government standard — the same credibility level as AES-256 and SHA-3.

Dilithium's Properties

PropertyECDSA (current)CRYSTALS-Dilithium
Quantum resistant❌ No✅ Yes
NIST standardised✅ (legacy)✅ FIPS 204
Signature size~64 bytes~2,420 bytes
Security assumptionECDLP (broken by Shor)MLWE/MSIS (quantum-hard)

BMIC's Implementation

BMIC uses CRYSTALS-Dilithium within its ERC-4337 smart contract wallet to sign all transactions. When you use a BMIC Wallet, your transactions are signed with FIPS 204 — not ECDSA. This is why BMIC wallets are quantum-safe.

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