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by westurner 800 days ago
CRYSTALS-Kyber, NTRU, SABER, CRYSTALS-Dilithium, and FALCON are lattice-based method finalists in NIST PQC Round 3.

[1] NIST Post-Quantum Cryptography Standardization: https://en.wikipedia.org/wiki/NIST_Post-Quantum_Cryptography...

The NTRU article mentions PQ resistance to Shor's only, other evaluations, and that IEEE Std 1363.1 (2008) and the X9 financial industry spec already specify NTRU, which is a Round 3 Finalist lattice-based method.

In [1] Under "Selected Algorithms 2022", the article lists "Lattice: CRYSTALS-Kyber, CRYSTALS-Dilithium, FALCON; Hash-based: SPHINCS+".

Round 4 includes Code-based and Supersingular elliptic curve isogeny algos.

FWIU There's not yet a TLS 1.4/2.0 that specifies which [lattice-based] PQ algos webservers would need to implement to support a new PQ TLS spec.