Post-Quantum Cryptography PQC

Selected Algorithms

Official comments on the Selected Algorithms should be submitted using the "Submit Comment" link for the appropriate algorithm. Comments from the  pqc-forum Google group subscribers will also be forwarded to the pqc-forum Google group list. We will periodically post and update the comments received to the appropriate algorithm.

All relevant comments will be posted in their entirety and should not include PII information in the body of the email message.

Please refrain from using OFFICIAL COMMENT to ask administrative questions, which should be sent to pqc-comments@nist.gov

July 2022:  The rationale for choosing the selected algorithms for standardization is described in NIST IR 8413Status Report on the Third Round of the NIST Post-Quantum Cryptography Standardization Process

March 2025:  The rationale for choosing the HQC algorithm for standardization is described in NIST IR 8545, Status Report on the Fourth Round of the NIST Post-Quantum Cryptography Standardization Process


Selected Algorithms: Key-Encapsulation Mechansims

Algorithm Algorithm Information Submitters Comments

CRYSTALS-KYBER (2022)
FIPS 203
 

PQC License Summary 
& Excerpts

Zip File (7MB)
IP Statements

Website

Peter Schwabe
Roberto Avanzi
Joppe Bos
Leo Ducas
Eike Kiltz
Tancrede Lepoint
Vadim Lyubashevsky
John M. Schanck
Gregor Seiler
Damien Stehle
Jintai Ding

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HQC (2025)
FIPS coming soon.
 

Zip File (13MB)

Website
IP Statements

Carlos Aguilar Melchor
Nicolas Aragon
Slim Bettaieb
Loïc Bidoux
Olivier Blazy
Jean-Christophe Deneuville
Philippe Gaborit
Edoardo Persichetti
Gilles Zémor
Jurjen Bos
Arnaud Dion
Jerome Lacan
Jean-Marc Robert
Pascal Veron

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Selected Algorithms: Digital Signature Algorithms

Algorithm Algorithm Information Submitters Comments
CRYSTALS-DILITHIUM (2022)
FIPS 204

Zip File (11MB)
IP Statements

Website

Vadim Lyubashevsky
Leo Ducas
Eike Kiltz
Tancrede Lepoint
Peter Schwabe
Gregor Seiler
Damien Stehle
Shi Bai
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FALCON (2022)
FIPS coming soon

Zip File (4MB)
IP Statements

Website

Thomas Prest
Pierre-Alain Fouque
Jeffrey Hoffstein
Paul Kirchner
Vadim Lyubashevsky
Thomas Pornin
Thomas Ricosset
Gregor Seiler
William Whyte
Zhenfei Zhang

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SPHINCS+  (2022)
FIPS 205

Zip File (230MB)
IP Statements

Website

Andreas Hulsing
Daniel J. Bernstein
Christoph Dobraunig
Maria Eichlseder
Scott Fluhrer
Stefan-Lukas Gazdag
Panos Kampanakis
Stefan Kolbl
Tanja Lange
Martin M Lauridsen
Florian Mendel
Ruben Niederhagen
Christian Rechberger
Joost Rijneveld
Peter Schwabe
Jean-Philippe Aumasson
Bas Westerbaan
Ward Beullens

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Created January 03, 2017, Updated March 20, 2025