Dilithium (ML-DSA)

Definition

Dilithium is a lattice-based digital signature algorithm selected by NIST as a primary post-quantum signature standard. Officially designated ML-DSA (Module Lattice-Based Digital Signature Algorithm) in FIPS 204, Dilithium provides efficient signatures resistant to quantum attacks with smaller sizes than hash-based alternatives.

Technical Explanation

Dilithium's security derives from the Module Learning With Errors (MLWE) and Module Short Integer Solution (MSIS) problems. Like Kyber, it uses structured lattices but for signature generation rather than key encapsulation. The "Fiat-Shamir with Aborts" technique ensures signatures don't leak private key information.

Dilithium2 provides NIST Level 2 security (~128-bit), Dilithium3 provides Level 3 (~192-bit), and Dilithium5 provides Level 5 (~256-bit). Signatures range from 2.4 KB to 4.6 KB—significantly smaller than SPHINCS+. Signing and verification are fast, suitable for high-throughput applications.

SynX Relevance

While SynX primarily implements SPHINCS+ for maximum security conservatism, Dilithium remains available for applications requiring smaller signatures or higher throughput. The cryptographic agility of SynX's architecture supports algorithm selection based on use case requirements.

Frequently Asked Questions

Should I use Dilithium or SPHINCS+?: SPHINCS+ for maximum security confidence; Dilithium for smaller signatures when lattice assumptions are acceptable.
Is Dilithium related to Kyber?: Both use module lattice mathematics, sharing security assumptions and implementation similarities.
Why "Dilithium"?: Named after the fictional Star Trek material, continuing CRYSTALS project naming conventions.

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