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From the Federal Register:
After three rounds of evaluation and analysis, NIST selected four algorithms it will standardize as a result of the PQC Standardization Process. The public-key encapsulation mechanism selected was CRYSTALS-KYBER, along with three digital signature schemes: CRYSTALS-Dilithium, FALCON, and SPHINCS+.
These algorithms are part of three NIST standards that have been finalized:
FIPS 203: Module-Lattice-Based Key-Encapsulation Mechanism Standard
FIPS 204: Module-Lattice-Based Digital Signature Standard
FIPS 205: Stateless Hash-Based Digital Signature Standard
NIST press release. My recent writings on post-quantum cryptographic standards.