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: http://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