Post-quantum Cryptography

Publications

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- Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem
  
  Craig Costello, Michael Meyer, Michael Naehrig
  
  EUROCRYPT 2021 | October 2021
  
  DOI Publication Publication Publication Publication
- B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion
  
  Craig Costello
  
  ASIACRYPT 2020 | December 2020
  
  Publication Publication
- Implementing Grover Oracles for Quantum Key Search on AES and LowMC.
  
  Samuel Jaques, Michael Naehrig, Martin Roetteler, Fernando Virdia
  
  EUROCRYPT 2020 | May 2020
  
  DOI Publication Publication Publication Publication
- Improved Classical Cryptanalysis of SIKE in Practice
  
  Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia
  
  PKC 2020 | April 2020
  
  Publication Publication
- Improved Quantum Circuits for Elliptic Curve Discrete Logarithms
  
  Thomas Häner, Samuel Jaques, Michael Naehrig, Martin Roetteler, Mathias Soeken
  
  PQCrypto 2020 | April 2020
- The supersingular isogeny problem in genus 2 and beyond
  
  Craig Costello, Benjamin Smith
  
  PQCrypto 2020 | April 2020
  
  Publication Publication
- Supersingular isogeny key exchange for beginners
  
  Craig Costello
  
  SAC 2019 | January 2020
  
  Publication Publication
- Benchmarking post-quantum cryptography in TLS
  
  Christian Paquin, Douglas Stebila, Goutam Tamvada
  
  December 2019
  
  Cryptology ePrint | December 2019
  
  Publication
- Prototyping post-quantum and hybrid key exchange and authentication in TLS and SSH
  
  Eric Crockett, Christian Paquin (cpaquin), Douglas Stebila
  
  July 2019
  
  Cryptology ePrint | July 2019
  
  Publication
- Computing supersingular isogenies on Kummer surfaces
  
  Craig Costello
  
  Progress in Cryptology - ASIACRYPT 2018 | December 2018
  
  PDF
- Quantum resource estimates for computing elliptic curve discrete logarithms
  
  Martin Roetteler, Michael Naehrig, Krysta M. Svore, Kristin Lauter
  
  Proc. ASIACRYPT 2017 | December 2017
  
  Lecture Notes in Computer Science
  
  PDF Publication DOI Project
- Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives
  
  Melissa Chase, David Derler , Steven Goldfeder , Claudio Orlandi , Sebastian Ramacher , Christian Rechberger , Daniel Slamanig , Greg Zaverucha
  
  Cryptology ePrint Archive, Report 2017 | March 2017, Vol 279
  
  Publication Publication Project
- Efficient Compression of SIDH Public Keys
  
  Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
  
  EUROCRYPT 2017 | October 2016
  
  Publication Project Project
- Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE
  
  Joppe Bos, Craig Costello, Leo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila
  
  MSR-TR-2016-1137 | September 2016
  
  ISBN: 978-1-4503-4139-4
  
  23rd ACM Conference on Computer and Communications Security (CCS 2016), Vienna, Austria
  
  Publication Publication
- Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
  
  Craig Costello, Patrick Longa, Michael Naehrig
  
  Advances in Cryptology - CRYPTO, 36th Annual International Conference on Cryptology, Santa Barbara | August 2016
  
  Publication Publication Project Project
- Speeding up the Number Theoretic Transform for Faster Ideal Lattice-Based Cryptography
  
  Patrick Longa, Michael Naehrig
  
  MSR-TR-2016-23 | May 2016
  
  PDF Project
- Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem
  
  Joppe Bos, Craig Costello, Michael Naehrig, Douglas Stebila
  
  Proceedings of the IEEE Symposium on Security and Privacy | March 2015
  
  PDF

- Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem
  
  Craig Costello, Michael Meyer, Michael Naehrig
  
  EUROCRYPT 2021 | October 2021
  
  DOI Publication Publication Publication Publication
- B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion
  
  Craig Costello
  
  ASIACRYPT 2020 | December 2020
  
  Publication Publication
- Implementing Grover Oracles for Quantum Key Search on AES and LowMC.
  
  Samuel Jaques, Michael Naehrig, Martin Roetteler, Fernando Virdia
  
  EUROCRYPT 2020 | May 2020
  
  DOI Publication Publication Publication Publication
- Improved Classical Cryptanalysis of SIKE in Practice
  
  Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia
  
  PKC 2020 | April 2020
  
  Publication Publication
- Improved Quantum Circuits for Elliptic Curve Discrete Logarithms
  
  Thomas Häner, Samuel Jaques, Michael Naehrig, Martin Roetteler, Mathias Soeken
  
  PQCrypto 2020 | April 2020
- The supersingular isogeny problem in genus 2 and beyond
  
  Craig Costello, Benjamin Smith
  
  PQCrypto 2020 | April 2020
  
  Publication Publication
- Supersingular isogeny key exchange for beginners
  
  Craig Costello
  
  SAC 2019 | January 2020
  
  Publication Publication
- Benchmarking post-quantum cryptography in TLS
  
  Christian Paquin, Douglas Stebila, Goutam Tamvada
  
  December 2019
  
  Cryptology ePrint | December 2019
  
  Publication
- Prototyping post-quantum and hybrid key exchange and authentication in TLS and SSH
  
  Eric Crockett, Christian Paquin (cpaquin), Douglas Stebila
  
  July 2019
  
  Cryptology ePrint | July 2019
  
  Publication
- Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives
  
  Melissa Chase, David Derler , Steven Goldfeder , Claudio Orlandi , Sebastian Ramacher , Christian Rechberger , Daniel Slamanig , Greg Zaverucha
  
  Cryptology ePrint Archive, Report 2017 | March 2017, Vol 279
  
  Publication Publication Project
- Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
  
  Craig Costello, Patrick Longa, Michael Naehrig
  
  Advances in Cryptology - CRYPTO, 36th Annual International Conference on Cryptology, Santa Barbara | August 2016
  
  Publication Publication Project Project
- Speeding up the Number Theoretic Transform for Faster Ideal Lattice-Based Cryptography
  
  Patrick Longa, Michael Naehrig
  
  MSR-TR-2016-23 | May 2016
  
  PDF Project
- Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem
  
  Joppe Bos, Craig Costello, Michael Naehrig, Douglas Stebila
  
  Proceedings of the IEEE Symposium on Security and Privacy | March 2015
  
  PDF
- Quantum resource estimates for computing elliptic curve discrete logarithms
  
  Martin Roetteler, Michael Naehrig, Krysta M. Svore, Kristin Lauter
  
  Proc. ASIACRYPT 2017 | December 2017
  
  Lecture Notes in Computer Science
  
  PDF Publication DOI Project
- Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives
  
  Melissa Chase, David Derler , Steven Goldfeder , Claudio Orlandi , Sebastian Ramacher , Christian Rechberger , Daniel Slamanig , Greg Zaverucha
  
  Cryptology ePrint Archive, Report 2017 | March 2017, Vol 279
  
  Publication Publication Project
- Efficient Compression of SIDH Public Keys
  
  Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
  
  EUROCRYPT 2017 | October 2016
  
  Publication Project Project
- Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE
  
  Joppe Bos, Craig Costello, Leo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila
  
  MSR-TR-2016-1137 | September 2016
  
  ISBN: 978-1-4503-4139-4
  
  23rd ACM Conference on Computer and Communications Security (CCS 2016), Vienna, Austria
  
  Publication Publication
- Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
  
  Craig Costello, Patrick Longa, Michael Naehrig
  
  Advances in Cryptology - CRYPTO, 36th Annual International Conference on Cryptology, Santa Barbara | August 2016
  
  Publication Publication Project Project
- Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem
  
  Joppe Bos, Craig Costello, Michael Naehrig, Douglas Stebila
  
  Proceedings of the IEEE Symposium on Security and Privacy | March 2015
  
  PDF
- Computing supersingular isogenies on Kummer surfaces
  
  Craig Costello
  
  Progress in Cryptology - ASIACRYPT 2018 | December 2018
  
  PDF

- Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem
  
  Craig Costello, Michael Meyer, Michael Naehrig
  
  EUROCRYPT 2021 | October 2021
  
  DOI Publication Publication Publication Publication
- B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion
  
  Craig Costello
  
  ASIACRYPT 2020 | December 2020
  
  Publication Publication
- Implementing Grover Oracles for Quantum Key Search on AES and LowMC.
  
  Samuel Jaques, Michael Naehrig, Martin Roetteler, Fernando Virdia
  
  EUROCRYPT 2020 | May 2020
  
  DOI Publication Publication Publication Publication
- Improved Classical Cryptanalysis of SIKE in Practice
  
  Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia
  
  PKC 2020 | April 2020
  
  Publication Publication
- Improved Quantum Circuits for Elliptic Curve Discrete Logarithms
  
  Thomas Häner, Samuel Jaques, Michael Naehrig, Martin Roetteler, Mathias Soeken
  
  PQCrypto 2020 | April 2020
- The supersingular isogeny problem in genus 2 and beyond
  
  Craig Costello, Benjamin Smith
  
  PQCrypto 2020 | April 2020
  
  Publication Publication
- Supersingular isogeny key exchange for beginners
  
  Craig Costello
  
  SAC 2019 | January 2020
  
  Publication Publication
- Computing supersingular isogenies on Kummer surfaces
  
  Craig Costello
  
  Progress in Cryptology - ASIACRYPT 2018 | December 2018
  
  PDF
- Quantum resource estimates for computing elliptic curve discrete logarithms
  
  Martin Roetteler, Michael Naehrig, Krysta M. Svore, Kristin Lauter
  
  Proc. ASIACRYPT 2017 | December 2017
  
  Lecture Notes in Computer Science
  
  PDF Publication DOI Project
- Efficient Compression of SIDH Public Keys
  
  Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
  
  EUROCRYPT 2017 | October 2016
  
  Publication Project Project
- Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
  
  Craig Costello, Patrick Longa, Michael Naehrig
  
  Advances in Cryptology - CRYPTO, 36th Annual International Conference on Cryptology, Santa Barbara | August 2016
  
  Publication Publication Project Project
- Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem
  
  Joppe Bos, Craig Costello, Michael Naehrig, Douglas Stebila
  
  Proceedings of the IEEE Symposium on Security and Privacy | March 2015
  
  PDF
- Benchmarking post-quantum cryptography in TLS
  
  Christian Paquin, Douglas Stebila, Goutam Tamvada
  
  December 2019
  
  Cryptology ePrint | December 2019
  
  Publication
- Prototyping post-quantum and hybrid key exchange and authentication in TLS and SSH
  
  Eric Crockett, Christian Paquin (cpaquin), Douglas Stebila
  
  July 2019
  
  Cryptology ePrint | July 2019
  
  Publication
- Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE
  
  Joppe Bos, Craig Costello, Leo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila
  
  MSR-TR-2016-1137 | September 2016
  
  ISBN: 978-1-4503-4139-4
  
  23rd ACM Conference on Computer and Communications Security (CCS 2016), Vienna, Austria
  
  Publication Publication
- Speeding up the Number Theoretic Transform for Faster Ideal Lattice-Based Cryptography
  
  Patrick Longa, Michael Naehrig
  
  MSR-TR-2016-23 | May 2016
  
  PDF Project
- Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives
  
  Melissa Chase, David Derler , Steven Goldfeder , Claudio Orlandi , Sebastian Ramacher , Christian Rechberger , Daniel Slamanig , Greg Zaverucha
  
  Cryptology ePrint Archive, Report 2017 | March 2017, Vol 279
  
  Publication Publication Project

Post-quantum Cryptography

Publications

Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem

B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion

Implementing Grover Oracles for Quantum Key Search on AES and LowMC.

Improved Classical Cryptanalysis of SIKE in Practice

Improved Quantum Circuits for Elliptic Curve Discrete Logarithms

The supersingular isogeny problem in genus 2 and beyond

Supersingular isogeny key exchange for beginners

Benchmarking post-quantum cryptography in TLS

Prototyping post-quantum and hybrid key exchange and authentication in TLS and SSH

Computing supersingular isogenies on Kummer surfaces

Quantum resource estimates for computing elliptic curve discrete logarithms

Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives

Efficient Compression of SIDH Public Keys

Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE

Efficient Algorithms for Supersingular Isogeny Diffie-Hellman

Speeding up the Number Theoretic Transform for Faster Ideal Lattice-Based Cryptography

Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem

Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem

B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion

Implementing Grover Oracles for Quantum Key Search on AES and LowMC.

Improved Classical Cryptanalysis of SIKE in Practice

Improved Quantum Circuits for Elliptic Curve Discrete Logarithms

The supersingular isogeny problem in genus 2 and beyond

Supersingular isogeny key exchange for beginners

Benchmarking post-quantum cryptography in TLS

Prototyping post-quantum and hybrid key exchange and authentication in TLS and SSH

Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives

Efficient Algorithms for Supersingular Isogeny Diffie-Hellman

Speeding up the Number Theoretic Transform for Faster Ideal Lattice-Based Cryptography

Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem

Quantum resource estimates for computing elliptic curve discrete logarithms

Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives

Efficient Compression of SIDH Public Keys

Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE

Efficient Algorithms for Supersingular Isogeny Diffie-Hellman

Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem

Computing supersingular isogenies on Kummer surfaces

Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem

B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion

Implementing Grover Oracles for Quantum Key Search on AES and LowMC.

Improved Classical Cryptanalysis of SIKE in Practice

Improved Quantum Circuits for Elliptic Curve Discrete Logarithms

The supersingular isogeny problem in genus 2 and beyond

Supersingular isogeny key exchange for beginners

Computing supersingular isogenies on Kummer surfaces

Quantum resource estimates for computing elliptic curve discrete logarithms

Efficient Compression of SIDH Public Keys

Efficient Algorithms for Supersingular Isogeny Diffie-Hellman

Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem

Benchmarking post-quantum cryptography in TLS

Prototyping post-quantum and hybrid key exchange and authentication in TLS and SSH

Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE

Speeding up the Number Theoretic Transform for Faster Ideal Lattice-Based Cryptography

Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives