Post-Quantum Cryptography Referenz
Referenz für quantum-resistant cryptographic Algorithmen across lattice, Code, Hash, und isogeny families.
Quantum Threat
Shor's algorithm efficiently factors integers and computes discrete logarithms, breaking RSA and ECC. Grover's algorithm quadratically speeds up brute force, requiring doubled symmetric key sizes. Post-quantum cryptography (PQC) develops classical algorithms resistant to quantum attacks. NIST has standardized ML-KEM, ML-DSA, and SLH-DSA after a multi-year competition.
- Shor
- Breaks RSA/ECC
- Grover
- Halves symmetric security
- migration
- Hybrid during transition
polynomial time need 2x key classical + PQC Algorithm Families
Lattice-based schemes (Kyber, Dilithium) offer the best performance balance and are primary standards. Code-based schemes (Classic McEliece) have decades of cryptanalysis but large keys. Hash-based signatures (SPHINCS+, SLH-DSA) rely only on hash security but have large signatures. Isogeny-based schemes (CSIDH) offer tiny keys but remain slow and less mature.
- lattice
- Best balance
- code-based
- Conservative, large keys
- hash-based
- Minimal assumptions
ML-KEM, ML-DSA McEliece SLH-DSA