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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
polynomial time
Grover
Halves symmetric security
need 2x key
migration
Hybrid during transition
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
ML-KEM, ML-DSA
code-based
Conservative, large keys
McEliece
hash-based
Minimal assumptions
SLH-DSA

Verwandte Tools

参考链接