Source: https://csrc.nist.gov/Projects/Post-Quantum-Cryptography/Round-1-Submissions
1. BIG QUAKE
Type: Code-based
Purpose: Key exchange
Remarks: Uses Goppa codes, like McEliece
Alain Couvreur, Magali Bardet, Elise Barelli, Olivier Blazy, Rodolfo Canto-Torres, Philippe Gaborit, Ayoub Otmani, Nicolas Sendrier, Jean-Pierre Tillich
2. BIKE
Type: Code-based
Purpose: Key exchange
Remarks: Based on quasi-cyclic moderate density parity-check (QC-MDPC) codes
Nicolas Aragon, Paulo Barreto, Slim Bettaieb, Loic Bidoux, Olivier Blazy, Jean-Christophe Deneuville, Phillipe Gaborit, Shay Gueron, Tim Guneysu, Carlos Aguilar Melchor, Rafael Misoczki, Edoardo Persichetti, Nicolas Sendrier, Jean-Pierre Tillich, Gilles Zemor
3. CFPKM
Type: Multivariate polynomials
Purpose: Key exchange
Chakraborty, J.-C. Faugere, L. Perret
4. Classic McEliece
Type: Code-based
Purpose: Key exchange
Remarks: Crypto system from the 1970s. Uses Goppa codes.
Website: https://classic.mceliece.org/
Daniel J. Bernstein, Tung Chou, Tanja Lange, Ingo von Maurich, Rafael Misoczki, Ruben Niederhagen, Edoardo Persichetti, Christiane Peters, Peter Schwabe, Nicolas Sendrier, Jakub Szefer, Wen Wang
5. Compact LWE
Type: LWE
Purpose: Key exchange
Dongxi Liu, Nan Li, Jongkil Kim, Surya Nepal
6. CRYSTALS-DILITHIUM
Type: Lattice
Purpose: Signature
Vadim Lyubashevsky, Leo Ducas, Eike Kiltz, Tancrede Lepoint, Peter Schwabe, Gregor Seiler, Damien Stehle
7. CRYSTALS-KYBER
Type: LWE
Purpose: Key exchange
Peter Schwabe, Roberto Avanzi, Joppe Bos, Leo Ducas, Eike Kiltz, Tancrede Lepoint, Vadim Lyubashevsky, John M. Schanck, Gregor Seiler, Damien Stehle
8. DAGS
Type: Code-based
Purpose: Key exchange
Gustavo Banegas, Paolo S. L. M. Barreto, Brice Odilon Boidje, Pierre-Louis Cayrel, Gilbert Ndollane Dione, Kris Gaj, Cheikh Thiecoumba Gueye, Richard Haeussler, Jean Belo Klamti, Ousmane N’diaye, Duc Tri Nguyen, Edoardo Persichetti, Jefferson E. Ricardini
9. Ding Key Exchange
Type: RLWE
Purpose: Key exchange
Remarks: Diffie-Hellman equivalent based on RLWE
Jintai Ding, Tsuyoshi Takagi, Xinwei Gao, Yuntao Wang
10. DME
Type: Double exponentiation with matrix exponents
Purpose: Signature, key exchange
Ignacio Luengo, Martin Avendano, Michael Marco
11. DRS
Type: Lattice
Purpose: Signature
Thomas Plantard, Arnaud Sipasseuth, Cedric Dumondelle, Willy Susilo
12. DualModeMS
Type: HFE
Purpose: Signature
J.-C. Faugere, L. Perret, J. Ryckeghem
13. Edon-K
Type: Finite Field Vector Subset Ratio
Purpose: Key exchange
Danilo Gligoroski, Kristian Gjosteen
14. EMBLEM and R.EMBLEM
Type: (R)LWE
Purpose: Key exchange
Minhye Seo, Jong Hwan Park, Dong Hoon Lee, Suhri Kim, Seung-Joon Lee
15. FALCON
Type: Lattice
Purpose: Signature
Thomas Prest, Pierre-Alain Fouque, Jeffrey Hoffstein, Paul Kirchner, Vadim Lyubashevsky, Thomas Pornin, Thomas Ricosset, Gregor Seiler, William Whyte, Zhenfei Zhang
16. FrodoKEM
Type: RLWE
Purpose: Key exchange
Michael Naehrig, Erdem Alkim, Joppe Bos, Leo Ducas, Karen Easterbrook, Brian LaMacchia, Patrick Longa, Ilya Mironov, Valeria Nikolaenko, Christopher Peikert, Ananth Raghunathan, Douglas Stebila
17. GeMSS
Type: HFE
Purpose: Signature
Casanova, J.-C. Faugere, G. Macario-Rat, J. Patarin, L. Perret, J. Ryckeghem
18. Giophantus
Type: Indeterminate Equation
Purpose: Key exchange
Koichiro Akiyama, Yasuhiro Goto, Shinya Okumura, Tsuyoshi Takagi, Koji Nuida, Goichiro Hanaoka, Hideo Shimizu, Yasuhiko Ikematsu
19. Gravity-SPHINCS
Type: Hash-based
Purpose: Signature
Jean-Phillippe Aumasson, Guillaume Endignoux
20. Guess Again
Type:
Purpose: Key exchange
Vladimir Shpilrain, Mariya Bessonov, Alexey Gribov, Dima Grigoriev
21. Gui
Type: HFE
Purpose: Signature
Jintai Ding, Ming-Shen Chen, Albrecht Petzoldt, Dieter Schmidt, Bo-Yin Yang
22. HILA5
Type: RLWE
Purpose: Key exchange
Markku-Juhani O. Saarinen
23. HiMQ-3
Type: HFE
Purpose: Signature
Kyung-Ah Shim, Cheol-Min Park, Aeyoung Kim
24. HK17
Type: Non-commutative and non-associative algebra using octonions
Purpose: Key exchange
Juan Pedro Hecht, Jorge Alejandro Kamlofsky
25. HQC
Type: Code-based
Purpose: Key exchange
Carlos Aguilar Melchor, Nicolas Aragon, Slim Bettaieb, Loïc Bidoux, Olivier Blazy, Jean-Christophe Deneuville, Philippe Gaborit, Edoardo Persichetti, Gilles Zémor
26. KINDI
Type: LWE
Purpose: Key exchange
Rachid El Bansarkhani
27. LAC
Type: RLWE
Purpose: Key exchange
Xianhui Lu, Yamin Liu, Dingding Jia, Haiyang Xue, Jingnan He, Zhenfei Zhang
28. LAKE
Type: Code-based
Purpose: Key exchange
Nicolas Aragon, Olivier Blazy, Jean-Christophe Deneuville, Philippe Gaborit, Adrien Hauteville, Olivier Ruatta, Jean-Pierre Tillich, Gilles Zemor
29. LEDAkem
Type: Code-based
Purpose: Key exchange
Marco Baldi, Alessandro Barenghi, Franco Chiaraluce, Gerardo Pelosi, Paolo Santini
30. LEDApkc
Type: Code-based
Purpose: Key exchange
Marco Baldi, Alessandro Barenghi, Franco Chiaraluce, Gerardo Pelosi, Paolo Santini
31. Lepton
Type: Learning Parity with Noise (LPN)
Purpose: Key exchange
Yu Yu, Jiang Zhang
32. LIMA
Type: Lattice
Purpose: Key exchange
Nigel P. Smart, Martin R. Albrecht, Yehuda Lindell, Emmanuela Orsini, Valery Osheter, Kenny Paterson, Guy Peer
33. Lizard
Type: LWE
Purpose: Key exchange
Jung Hee Cheon, Sangjoon Park, Joohee Lee, Duhyeong Kim, Yongsoo Song, Seungwan Hong, Dongwoo Kim, Jinsu Kim, Seong-Min Hong, Aaram Yun, Jeongsu Kim, Haeryong Park, Eunyoung Choi, Kimoon kim, Jun-Sub Kim, Jieun Lee
34. LOCKER
Type: Code-based
Purpose: Key exchange
Remarks: similar to LAKE
Nicolas Aragon, Olivier Blazy, Jean-Christophe Deneuville, Philippe Gaborit, Adrien Hauteville, Olivier Ruatta, Jean-Pierre Tillich, Gilles Zemor
35. LOTUS
Type: LWE
Purpose: Key exchange
Le Trieu Phong, Takuya Hayashi, Yoshinori Aono, Shiho Moriai
36. LUOV
Type: Multivariate
Purpose: Signature
Ward Beullens, Bart Preneel, Alan Szepieniec, Frederik Vercauteren
37. McNie
Type: Code-based
Purpose: Key exchange
Lucky Galvez, Jon-Lark Kim, Myeong Jae Kim, Young-Sik Kim, Nari Lee
38. Mersenne-756839
Type: Mersenne numbers
Purpose: Key exchange
Divesh Aggarwal, Antoine Joux, Anupam Prakash, Mikos Santha
39. MQDSS
Type: Multivariate
Purpose: Signature
Simona Samardjiska, Ming-Shing Chen, Andreas Hulsing, Joost Rijneveld, Peter Schwabe
40. NewHope
Type: RLWE
Purpose: Key exchange
Thomas Pöppelmann, Erdem Alkim, Roberto Avanzi, Joppe Bos, Leo Ducas, Antonio de la Piedra, Peter Schwabe, Douglas Stebila
41. NTRUEncrypt
Type: Lattice
Purpose: Key exchange
Zhenfei Zhang, Cong Chen, Jeffrey Hoffstein, William Whyte
42. pqNTRUSign
Type: Lattice
Purpose: Signature
Zhenfei Zhang, Cong Chen, Jeffrey Hoffstein, William Whyte
43. NTRU-HRSS-KEM
Type: Lattice
Purpose: Key Exchange
John M. Schanck, Andreas Hulsing, Joost Rijneveld, Peter Schwabe
44. NTRU Prime
Type: Lattice
Purpose:
Daniel J. Bernstein, Chitchanok Chuengsatiansup, Tanja Lange, Christine van Vredendaal
45. NTS-KEM
Type: Lattice
Purpose: Key Exchange
Martin Albrecht, Carlos Cid, Kenneth G. Paterson, Cen Jung Tjhai, Martin Tomlinson
46. Odd Manhattan
Type: Lattice
Purpose: Key exchange
Thomas Plantard
47. KCL (pkaOKCN/AKCN/CNKE)
Type: LWE
Purpose: Key Exchange
Yunlei Zhao, Zhengzhong jin, Boru Gong, Guangye Sui
48. Ouroboros-R
Type: Lattice
Purpose: Key exchange
Remarks: related to NTRU
Carlos Aguilar Melchor, Nicolas Aragon, Slim Bettaieb, Loic Bidoux, Olivier Blazy, Jean-Christophe Deneuville, Phillipe Gaborit, Adrien Hauteville, Gilles Zemor
49. Picnic
Type: Hash-based
Purpose: Signature
Greg Zaverucha, Melissa Chase, David Derler, Steven Goldfeder, Claudio Orlandi, Sebastian Ramacher, Christian Rechberger, Daniel Slamanig
50. Post-quantum RSA-Encryption
Type: Factorisation
Purpose: Key exchange
Daniel J. Bernstein, Josh Fried, Nadia Heninger, Paul Lou, Luke Valenta
51. Post-quantum RSA-Signature
Type: Factorisation
Purpose: Signature
Daniel J. Bernstein, Josh Fried, Nadia Heninger, Paul Lou, Luke Valenta
52. pqsigRM
Type: Code-based
Purpose: Signature
Wijik Lee, Young-Sik Kim, Yong-Woo Lee, Jong-Seon No
53. QC-MDPC KEM
Type: Code-based
Purpose: Key exchange
Remarks: Based on McEliece
Atsushi Yamada, Edward Eaton, Kassem Kalach, Philip Lafrance, Alex Parent
54. qTESLA
Type: RLWE
Purpose: Signature
Nina Bindel, Sedat Akleylek, Erdem Alkim, Paulo S. L. M. Barreto, Johannes Buchmann, Edward Eaton, Gus Gutoski, Juliane Kramer, Patrick Longa, Harun Polat, Jefferson E. Ricardini, Gustavo Zanon
55. RaCoSS
Type: Code-based
Purpose: Signature
Kazuhide Fukushima, Partha Sarathi Roy, Rui Xu, Shinsaku Kiyomoto, Kirill Morozov, Tsuyoshi Takagi
56. Rainbow
Type: Multivariate
Purpose: Signature
Jintai Ding, Ming-Shing Chen, Albrecht Petzoldt, Dieter Schmidt, Bo-Yin Yang
57. Ramstake
Type: Low Hamming Weight Ratio
Purpose: Key exchange
Alan Szepieniec
58. RankSign
Type: Code-based
Purpose: Signature
Nicolas Aragon, Phillipe Gaborit, Adrien Hautevillle, Olivier Ruatta, Gilles Zemor
59. RLCE-KEM
Type: Code-based
Purpose: Key exchange
Yongge Wang
60. Round2
Type: LWR
Purpose: Key exchange
Oscar Garcia-Morchon, Zhenfei Zhang, Sauvik Bhattacharya, Ronald Rietman, Ludo Tolhuizen, Jose-Luis Torre-Arce
61. RQC
Type: Code-based
Purpose: Key exchange
Website: https://pqc-rqc.org/
Carlos Aguilar Melchor, Nicolas Aragon, Slim Bettaieb, Loic Bidoux, Olivier Blazy, Jean-Christophe Deneuville, Phillippe Gaborit, Gilles Zemor
62. RVB
Type: Chebyshev polynomials
Purpose: Key exchange
C. B. Roellgen, G. Brands
63. SABER
Type: LWR
Purpose: Key exchange
Jan-Pieter D’Anvers, Angshuman Karmakar, Sujoy Sinha Roy, Frederik Vercauteren
64. SIKE
Type: Elliptic curve isogeny
Purpose: Key exchange
David Jao, Reza Azarderakhsh, Matthew Campagna, Craig Costello, Luca De Feo, Basil Hess, Amir Jalali, Brian Koziel, Brian LaMacchia, Patrick Longa, Michael Naehrig, Joost Renes, Vladimir Soukharev, David Urbanik
65. SPHINCS+
Type: Hash-based
Purpose: Signature
Andreas Hülsing, 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
66. SRTPI
Type: Multivariate
Purpose: Key exchange, signature
Yossi (Joseph) Peretz, Nerya Granot
67. Three Bears
Type: RLWE
Purpose: Key exchange
Mike Hamburg
68. Titanium
Type: LWE
Purpose: Key exchange
Ron Steinfeld, Amin Sakzad, Raymond K. Zhao
69. WalnutDSA
Type: Braid groups
Purpose: Signature
Derek Atkins, Iris Anshel, Dorian Goldfeld, Paul E Gunnells
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