Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Post-Quantum Cryptography: Additional Digital Signature Schemes

Round 2 Additional Signatures

Official comments on the Second Round Candidates 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.

The rationale for choosing the Round 2 Candidates is described in NIST IR 8528, Status Report on the First Round of the Additional Digital Signature Schemes for the NIST Post-Quantum Cryptography Standardization Process

History of Round 2 Updates
 

Code-based Signatures

Algorithm Algorithm Information Submitters Comments
CROSS
Codes and Restricted Objects Signature
Scheme
Specification
IP Statements
Zip file (13MB)


Website

Marco Baldi
Alessandro Barenghi
Michele Battagliola
Sebastian Bitzer
Marco Gianvecchio
Patrick Karl
Felice Manganiello
Alessio Pavoni
Gerardo Pelosi
Paolo Santini
Jonas Schupp
Edoardo Signorini
Freeman Slaughter
Antonia Wachter-Zeh
Violetta Weger

Submit Comment
View Comments

LESS
Linear Equivalence
Signature Scheme

Specification
IP Statements
Zip file (4MB)
KAT Files (69MB)

Website

Marco Baldi
Alessandro Barenghi
Luke Beckwith
Jean-François Biasse
Tung Chou
Andre Esser
Kris Gaj
Patrick Karl
Kamyar Mohajerani
Gerardo Pelosi
Edoardo Persichetti
Markku-Juhani O. Saarinen
Paolo Santini
Robert Wallace
Floyd Zweydinger

Submit Comment
View Comments

Isogeny Signatures

Algorithm Algorithm Information Submitters Comments
SQIsign Specification
IP Statements
Zip file (15MB)
 

Website

Marius A. Aardal
Gora Adj
Diego F. Aranha
Andrea Basso
Isaac Andrés Canales Martínez
Jorge Chávez-Saab
Maria Corte-Real Santos
Pierrick Dartois
Luca De Feo
Max Duparc
Jonathan Komada Eriksen
Tako Boris Fouotsa
Décio Luiz Gazzoni Filho
Basil Hess
David Kohel
Antonin Leroux
Patrick Longa
Luciano Maino
Michael Meyer
Kohei Nakagawa
Hiroshi Onuki
Lorenz Panny
Sikhar Patranabis
Christophe Petit
Giacomo Pope
Krijn Reijnders
Damien Robert
Francisco Rodríguez Henríquez
Sina Schaeffler
Benjamin Wesolowski

Submit Comment
View Comments

Lattice-based Signatures

Algorithm Algorithm Information Submitters Comments
HAWK Specification
Zip file (6MB)
 

Website

Joppe W. Bos
Olivier Bronchain
Léo Ducas
Serge Fehr
Yu-Hsuan Huang
Thomas Pornin
Eamonn W. Postlethwaite
Thomas Prest
Ludo N. Pulles
Wessel van Woerden

Submit Comment
View Comments

MPC-in-the-Head Signatures

Algorithm Algorithm Information Submitters Comments
Mirath
(merger of MIRA/MiRitH)
Specification
IP Statements
Zip file (26MB)
 

Website

Gor Adj
Nicolas Aragon
Stefano Barbero
Magali Bardet 
Emmanuele Bellini
Loïc Bidoux
Jesús-Javier Chi-Domínguez
Victor Dyseryn 
Andre Esser
Thibauld Feneuil 
Philippe Gaborit 
Romaric Neveu 
Matthieu Rivain 
Luis Rivera-Zamarripa
Carlo Sanna
Jean-Pierre Tillich 
Javier Verbel
Floyd Zweydinger

Submit Comment
View Comments

MQOM
MQ on my Mind
Specification
IP Statements
Zip file (48MB)
 

Website

Ryad Benadjila
Charles Bouillaguet
Thibauld Feneuil
Matthieu Rivain

Submit Comment
View Comments

PERK Specification
IP Statements
Zip file (37MB)
 

Website

Najwa Aaraj
Slim Bettaieb
Loïc Bidoux
Alessandro Budroni
Victor Dyseryn
Andre Esser
Thibauld Feneuil 
Philippe Gaborit
Mukul Kulkarni
Victor Mateu
Marco Palumbi
Lucas Perin
Matthieu Rivain
Jean-Pierre Tillich
Keita Xagawa

Submit Comment
View Comments

RYDE Specification
IP Statements
Zip file (21MB)

Website

Nicolas Aragon
Magali Bardet
Loïc Bidoux
Jesús-Javier Chi-Domínguez
Victor Dyseryn
Thibauld Feneuil
Philippe Gaborit
Antoine Joux
Romaric Neveu
Matthieu Rivain
Jean-Pierre Tillich
Adrien Vinçotte

Submit Comment
View Comments

SDitH
Syndrome Decoding in the Head

Specification
IP Statements
Zip file (14MB)

Website

Carlos Aguilar Melchor
Slim Bettaieb
Loïc Bidoux
Thibauld Feneuil
Philippe Gaborit
Nicolas Gama
Shay Gueron
James Howe
Andreas Hülsing
David Joseph
Antoine Joux
Mukul Kulkarni
Edoardo Persichetti
Tovohery H. Randrianarisoa
Matthieu Rivain
Dongze Yue

Submit Comment
View Comments

Multivariate Signatures

Algorithm Algorithm Information Submitters Comments
MAYO Specification
tar.gz file (23MB)
 

Website

Ward Beullens
Fabio Campos
Sofía Celi
Basil Hess
Matthias J. Kannwischer

Submit Comment
View Comments

QR-UOV

Specification
IP Statements
Zip file (109MB)
KAT Files (190MB)

Website

Rika Akiyama
Hiroki Furue
Yasuhiko Ikematsu
Fumitaka Hoshino
Koha Kinjo
Haruhisa Kosuge
Satoshi Nakamura
Shingo Orihara
Tsuyoshi Takagi
Kimihiro Yamakoshi

Submit Comment
View Comments

SNOVA Specification
IP Statements
Zip file (5MB)
 

Website

Lih-Chung Wang
Chun-Yen Chou
Jintai Ding
Yen-Liang Kuan
Jan Adriaan Leegwater
Ming-Siou Li
Bo-Shu Tseng
Po-En Tseng
Chia-Chun Wang

Submit Comment
View Comments

UOV
Unbalanced Oil
and Vinegar

Specification
Zip file (5MB)

Website

Ward Beullens
Ming-Shing Chen
Jintai Ding
Boru Gong
Matthias J. Kannwischer
Jacques Patarin
Bo-Yuan Peng
Dieter Schmidt
Cheng-Jhih Shih
Chengdong Tao
Bo-Yin Yang

Submit Comment
View Comments

Symmetric-based Signatures

Algorithm Algorithm Information Submitters Comments
FAEST Specification
IP Statements
Zip file (50MB)
 

Website

Carsten Baum
Lennart Braun
Ward Beullens
Cyprien Delpech de Saint Guilhem
Michael Klooß
Christian Majenz
Shibam Mukherjee
Emmanuela Orsini
Sebastian Ramacher
Christian Rechberger
Lawrence Roy
Peter Scholl

Submit Comment
View Comments

Created August 29, 2022, Updated March 13, 2025