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https://github.com/veorq/awesome-post-quantum

A curated list of resources about post-quantum cryptography
https://github.com/veorq/awesome-post-quantum

List: awesome-post-quantum

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A curated list of resources about post-quantum cryptography

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# awesome-post-quantum [![Awesome](https://cdn.rawgit.com/sindresorhus/awesome/d7305f38d29fed78fa85652e3a63e154dd8e8829/media/badge.svg)](https://github.com/sindresorhus/awesome)



A curated list of resources about post-quantum cryptography.



To contribute, please file a PR. Please list items alphabetically.



We try to keep this page up to date, as some resources and URLs may become

obsolete. If you notice such issues before us, please file PR or an

Issue.



"PQC" stands for post-quantum cryptography.



## Government Initiatives



USA:



* [NIST's PQC Project](https://csrc.nist.gov/projects/post-quantum-cryptography/post-quantum-cryptography-standardization) ([Selected Algorithms 2022](https://csrc.nist.gov/projects/post-quantum-cryptography/selected-algorithms-2022) announcement)



* [DHS PQC approach and roadmap](https://www.dhs.gov/quantum)

* [NSA PQC FAQ](https://media.defense.gov/2021/Aug/04/2002821837/-1/-1/1/Quantum_FAQs_20210804.PDF)

* [NIST and NCCoE's Migration to PQC](https://www.nccoe.nist.gov/sites/default/files/2022-07/pqc-migration-project-description-final.pdf)



France:



* [ANSSI's views](https://cyber.gouv.fr/en/publications/follow-position-paper-post-quantum-cryptography)



UK:



* [NCSC's Next steps in preparing for post-quantum cryptography](https://www.ncsc.gov.uk/whitepaper/next-steps-preparing-for-post-quantum-cryptography) 



## Research Resources



* [IACR ePrint](https://www.google.com/search?q=site%3Aeprint.iacr.org+%22post-quantum%22)

* [pqcrypto.org](https://pqcrypto.org/) (incl. conference series)



Survey papers:



* [A Decade of Lattice-Based Cryptography](https://eprint.iacr.org/2015/939.pdf) by Chris Peikert

* [Mathematics of Isogeny-Based Cryptography](https://arxiv.org/abs/1711.04062) by Luca de Feo



## Software Projects



* [aws/s2n-tls](https://github.com/aws/s2n-tls/tree/main/pq-crypto)

* [kudelskisecurity/crystals-go](https://github.com/kudelskisecurity/crystals-go)

* [Microsoft/PQCrypto-LWEKE](https://github.com/Microsoft/PQCrypto-LWEKE) (FrodoKEM)

* [Microsoft/PQCrypto-SIDH](https://github.com/Microsoft/PQCrypto-SIDH)

* [mupq/pqm4](https://github.com/mupq/pqm4)o

* [Open Quantum Safe](https://openquantumsafe.org/)

* [open-quantum-safe/liboqs](https://github.com/open-quantum-safe/liboqs)

* [PQClean/PQClean](https://github.com/PQClean/PQClean)

* [rustpq/pqcrypto](https://github.com/rustpq/pqcrypto)

 

Implementations of...



* [Dilithium](https://pq-crystals.org/dilithium/software.shtml)

* [Kyber](https://pq-crystals.org/kyber/software.shtml)

* [SPHINCS+](https://sphincs.org/software.html)



## NIST Post-Quantum Cryptography Standardization



* Homepage [NIST Post-Quantum

  Cryptography](https://csrc.nist.gov/Projects/post-quantum-cryptography)



* All [Round 1 submissions](https://csrc.nist.gov/Projects/post-quantum-cryptography/Round-1-Submissions)



## Round 3 submissions



(Only listing those that were not selected for standardization or round

4)



Lattice-based:



* [FrodoKEM](http://frodokem.org/) (KEM, alternate candidate)

* [NTRU](https://ntru.org/) (KEM, finalist)

* [NTRU Prime](https://ntruprime.cr.yp.to/) (KEM, alternate candidate)

* [SABER](https://www.esat.kuleuven.be/cosic/pqcrypto/saber/) (KEM, finalist)



MQ-based:



* [GeMSS](https://www-polsys.lip6.fr/Links/NIST/GeMSS.html) (signature,

  alternate candidate)

* [Rainbow](https://www.pqcrainbow.org/) (signature, finalist)



ZKP-based:



* [Picnic](https://microsoft.github.io/Picnic/) (signature, alternate

  candidate)



### Round 4 submissions



Code-based:



* [BIKE](https://www.esat.kuleuven.be/cosic/pqcrypto/saber/) (KEM)

* [Classic McEliece](https://classic.mceliece.org/) (KEM)

* [HQC](https://www.pqc-hqc.org/) (KEM)



Isogeny-based:



* [SIKE](https://sike.org/) (KEM)

    - Withdrawn, see for example [You could have broken SIDH](https://yx7.cc/blah/2022-08-22.html)



### Selected algorithms 2022



Lattice-based:



* [Dilithium](https://pq-crystals.org/dilithium/) (signature)

    - [FIPS 203: Module-Lattice-Based Key-Encapsulation Mechanism Standard](https://csrc.nist.gov/pubs/fips/203/ipd)

* [Falcon](https://falcon-sign.info/) (signature)

* [Kyber](https://pq-crystals.org/kyber) (KEM)

    - [FIPS 204: Module-Lattice-Based Digital Signature Standard](https://csrc.nist.gov/pubs/fips/204/ipd)



Hash-based:



* [SPHINCS+](https://sphincs.org/) (signature)

    - [FIPS 205: Stateless Hash-Based Digital Signature Standard](https://csrc.nist.gov/pubs/fips/205/ipd)



## NIST PQC Digital Signature Schemes



This project coming after the selection of 4 signatures in 2022 aims to

select algorithms "that are not based on structured lattices" and/or

"that have short signatures and fast verification."



* Homepage [PQC Digital Signature

  Schemes](https://csrc.nist.gov/projects/pqc-dig-sig)



* [Round 1 submissions](https://csrc.nist.gov/Projects/pqc-dig-sig/round-1-additional-signatures)



## Other Algorithms



Hash-based:



* [PRUNE-HORST](https://github.com/gravity-postquantum/prune-horst) (few-times signature)



Isogeny-based:



* [CSIDH](https://csidh.isogeny.org/) (KEM)



## IETF



Internet Drafts and RFCs:



* ID [Framework to Integrate Post-quantum Key Exchanges into Internet Key Exchange Protocol Version 2 (IKEv2)](https://datatracker.ietf.org/doc/html/draft-tjhai-ipsecme-hybrid-qske-ikev2-04)

* ID [Hybrid Post-Quantum Key Encapsulation Methods (PQ KEM) for Transport Layer Security 1.2 (TLS)](https://datatracker.ietf.org/doc/html/draft-campagna-tls-bike-sike-hybrid)

* ID [Hybrid key exchange in TLS 1.3](https://datatracker.ietf.org/doc/html/draft-ietf-tls-hybrid-design)

* RFC 8391: [XMSS: eXtended Merkle Signature Scheme](https://datatracker.ietf.org/doc/html/rfc8391)

* RFC 8554: [Leighton-Micali Hash-Based Signatures](https://datatracker.ietf.org/doc/html/rfc8554)



## Misc



* [SUPERCOP](https://bench.cr.yp.to/results-kem.html) (benchmarks)

* [PQCrypto Usage & Deployment](https://ianix.com/pqcrypto/pqcrypto-deployment.html)

* Quantum Doomsday Planning blog posts:

    - [1/2: Risk assessment & quantum attacks](https://www.taurushq.com/blog/quantum-doomsday-planning-2-2-the-post-quantum-technology-landscape/)

    - [2/2: The post-quantum technology

      landscape](https://www.taurushq.com/blog/quantum-doomsday-planning-2-2-the-post-quantum-technology-landscape/)



## Related awesome-pages



* [awesome-quantum-computing](https://github.com/desireevl/awesome-quantum-computing)

* [awesome-quantum-software](https://github.com/qosf/awesome-quantum-software)