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Post-Quantum Cryptography: Digital Signature Schemes

Round 1 Additional Signatures

Official comments on the First Round Signatures 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

History of Round 1 Updates

Code-based Signatures

Algorithm Algorithm Information Submitters Comments
CROSS
Codes and Restricted Objects Signature
Scheme
Specification
IP Statements
Zip file (11 MB)

Website

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

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Enhanced pqsigRM Specification
IP Statements
Zip file (50 MB)

Website

Jinkyu Cho
Jong-Seon No
Yongwoo Lee
Young-Sik Kim
Zahyun Koo

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FuLeeca Specification
IP Statements
Zip file (7 MB)

Website

Stefan Ritterhoff
Sebastian Bitzer
Patrick Karl
Georg Maringer
Thomas Schamberger
Jonas Schupp
Georg Sigl
Antonia Wachter-Zeh
Violetta Weger

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LESS
Linear Equivalence
Signature Scheme
Specification
IP Statements
Zip file (2 MB)

Website

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

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MEDS
Matrix Equivalence
Digital Signature 

Specification
IP Statements
Zip file (<1 MB)
KAT Files (website)
Website

Tung Chou
Ruben Niederhagen
Edoardo Persichetti
Lars Ran
Tovohery Hajatiana Randrianarisoa
Krijn Reijnders
Simona Samardjiska
Monika Trimoska

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Wave Specification
IP Statements
Zip file (4 MB)
KAT Files (see website)

Website

Gustavo Banegas
Kévin Carrier
André Chailloux
Alain Couvreur
Thomas Debris-Alazard
Philippe Gaborit
Pierre Karpman
Johanna Loyer
Ruben Niederhagen
Nicolas Sendrier
Benjamin Smith
Jean-Pierre Tillich

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Isogeny Signatures

Algorithm Algorithm Information Submitters Comments
SQIsign Specification
IP Statements
Zip file (14 MB)

Website

Jorge Chavez-Saab
Maria Corte-Real Santos
Luca De Feo
Jonathan Komada Eriksen
Basil Hess
David Kohel
Antonin Leroux
Patrick Longa
Michael Meyer
Lorenz Panny
Sikhar Patranabis
Christophe Petit
Francisco Rodríguez Henríquez
Sina Schaeffler
Benjamin Wesolowski

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Lattice-based Signatures

Algorithm Algorithm Information Submitters Comments
EagleSign Specification
IP Statements
Zip file (9 MB)

Website

Djiby Sow
Abiodoun Clement Hounkpevi
Sidoine Djimnaibeye
Michel Seck

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EHTv3 and EHTv4 Specification
IP Statements
Zip file (73 MB)

Website

Igor Semaev
Martin Feussner

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HAETAE Specification
IP Statements
Zip file (17 MB)

Website

Jung Hee Cheon
Hyeongmin Choe
Julien Devevey
Tim Güneysu
Dongyeon Hong
Markus Krausz
Georg Land
Junbum Shin
Damien Stehlé
MinJune Yi

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HAWK Specification
IP Statements
Zip file (6 MB)

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

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HuFu
Hash-and-Sign
Signatures From
Powerful Gadgets
Specification
IP Statements
Zip file (164 MB)
KAT Files (website)

Website

Yang Yu
Huiwen Jia
Leibo Li
Delong Ran
Zhiyuan Qiu
Shiduo Zhang
Xiuhan Lin
Xiaoyun Wang

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Raccoon Specification
IP Statements
Zip file (89 MB)

Website

Rafael del Pino
Thomas Espitau
Shuichi Katsumata
Mary Maller
Fabrice Mouhartem
Thomas Prest
Mélissa Rossi
Markku-Juhani Saarinen

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SQUIRRELS
Square Unstructured
Integer Euclidean
Lattice Signature

Specification
IP Statements
Zip file (22 MB)
KAT Files (website)
Website

Thomas Espitau
Guilhem Niot
Chao Sun
Mehdi Tibouchi

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MPC-in-the-Head Signatures

Algorithm Algorithm Information Submitters Comments
Biscuit Specification
IP Statements
Zip file (14 MB)

Website

Luk Bettale
Delaram Kahrobaei
Ludovic Perret
Javier Verbel

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MIRA Specification
IP Statements
Zip file (18 MB)

Website

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

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MiRitH
MinRank in the Head
Specification
IP Statements
Zip file (85 MB)

Website

Gora Adj
Luis Rivera-Zamarripa
Javier Verbel
Emanuele Bellini
Stefano Barbero
Andre Esser
Carlo Sanna
Floyd Zweydinger

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MQOM
MQ on my Mind
Specification
IP Statements
Zip file (30 MB)

Website

Thibauld Feneuil
Matthieu Rivain

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PERK Specification
IP Statements
Zip file (37 MB)

Website

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

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RYDE Specification
IP Statements
Zip file (18 MB)

Website

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

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SDitH
Syndrome Decoding in the Head
Specification
IP Statements
Zip file (54 MB)

Website

Carlos Aguilar Melchor
Thibauld Feneuil
Nicolas Gama
Shay Gueron
James Howe
David Joseph
Antoine Joux
Edoardo Persichetti
Tovohery H. Randrianarisoa
Matthieu Rivain
Dongze Yue

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Multivariate Signatures

Algorithm Algorithm Information Submitters Comments
3WISE Specification
IP Statements
Zip file (9 MB)
KAT_128 & 192 (75 MB)
KAT_256 (190 MB)

Website

Borja Gómez Rodríguez

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DME-Sign Specification
IP Statements
Zip file (9 MB)

Website

Ignacio Luengo
Martín Avendaño

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HPPC
Hidden Product of
Polynomial Composition
Specification
IP Statements
Zip file (190 MB)

Website

Borja Gómez Rodríguez

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MAYO Specification
IP Statements
Zip file (19 MB)

Website

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

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PROV
PRovable unbalanced
Oil and Vinegar
Specification
IP Statements
Zip file (<1 MB)
KAT files (see website)

Website

Louis Goubin
Benoît Cogliati
Jean-Charles Faugère
Pierre-Alain Fouque
Robin Larrieu
Gilles Macario-Rat
Brice Minaud
Jacques Patarin

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QR-UOV

Specification
IP Statements
Zip file (100 MB)
Intermediate Values 
Website

Hiroki Furue
Yasuhiko Ikematsu
Fumitaka Hoshino
Tsuyoshi Takagi
Kan Yasuda
Toshiyuki Miyazawa
Tsunekazu Saito
Akira Nagai

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SNOVA Specification
IP Statements
Zip file (3 MB)
KAT Files 1 (66 MB)
KAT Files 2 (191 MB)

Website

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

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TUOV
Triangular Unbalanced
Oil and Vinegar
Specification
IP Statements
Zip file (6 MB)

Website

Jintai Ding
Boru Gong
Hao Guo
Xiaoou He
Yi Jin
Yuansheng Pan
Dieter Schmidt
Chengdong Tao
Danli Xie
Bo-Yin Yang
Ziyu Zhao

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UOV
Unbalanced Oil
and Vinegar
Specification
IP Statements
Zip file (8 MB)

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

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VOX Specification
IP Statements
Zip file (64 MB)

Website

Jacques Patarin
Benoît Cogliati
Jean-Charles Faugère
Pierre-Alain Fouque
Louis Goubin
Robin Larrieu
Gilles Macario-Rat
Brice Minaud

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Symmetric-based Signatures

Algorithm Algorithm Information Submitters Comments
AIMer Specification
IP Statements
Zip file (34 MB)

Website

Seongkwang Kim
Jihoon Cho
Mingyu Cho
Jincheol Ha
Jihoon Kwon
Byeonghak Lee
Joohee Lee
Jooyoung Lee
Sangyub Lee
Dukjae Moon
Mincheol Son
Hyojin Yoon

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Ascon-Sign Specification
IP Statements
Zip file (9 MB)

Website

Vikas Srivastava
Naina Gupta
Arpan Jati
Anubhab Baksi
Jakub Breier
Anupam Chattopadhyay
Sumit Kumar Debnath
Xiaolu Hou

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FAEST Specification
IP Statements
Zip file (30 MB)

Website

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

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SPHINCS-alpha Specification
IP Statements
Zip file (50 MB)

Website

Yu Yu
Hongrui Cui
Kaiyi Zhang

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Other Signatures

Algorithm Algorithm Information Submitters Comments
ALTEQ Specification
IP Statements
Zip file (2 MB)
KAT_1 (34 MB)
KAT_2 (210 MB)
KAT_3 (234 MB)

Website

Markus Bläser
Dung Hoang Duong
Anand Kumar Narayanan
Thomas Plantard
Youming Qiao
Arnaud Sipasseuth
Gang Tang

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eMLE-Sig 2.0
Embedded Multilayer
Equations with Heavy
Layer Randomization
Specification
IP Statements
Zip file (7 MB)

Website

Dongxi Liu
Raymond K. Zhao

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KAZ-SIGN
Kriptografi Atasi Zarah
Specification
IP Statements
Zip file (10 MB)

Website

Muhammad Rezal Kamel Ariffin
Nur Azman Abu
Terry Lau Shue Chien
Zahari Mahad
Amir Hamzah Abd Ghafar
Nurul Amiera Sakinah Abdul Jamal

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Preon Specification
IP Statements
Zip file (21 MB)
KAT_128 (55 MB)
KAT_192 (117 MB)
KAT_256 (187 MB)

Website

Ming-Shing Chen
Yu-Shian Chen
Chen-Mou Cheng
Shiuan Fu
Wei-Chih Hong
Jen-Hsuan Hsiang
Sheng-Te Hu
Po-Chun Kuo
Wei-Bin Lee
Feng-Hao Liu
Justin Thaler

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Xifrat1-Sign.I Specification
IP Statements
Zip file (2 MB)

Website

Jianfang "Danny" Niu
Daniel Enrique Náger Piazuelo

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Created August 29, 2022, Updated February 22, 2024