FourQ on embedded devices with strong countermeasures against side-channel attacks
Patrick Longa, Zhe Liu, Geovandro Pereira, Oscar Reparaz, Hwajeong Seo
MSR-TR-2017-18 | May 2017
Patrick Longa
Principal Researcher
Publications
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Efficient Compression of SIDH Public Keys
Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
EUROCRYPT 2017 | October 2016
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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
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SchnorrQ: Schnorr signatures on FourQ
Craig Costello, Patrick Longa
July 2016
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FourQ on FPGA: New Hardware Speed Records for Elliptic Curve Cryptography over Large Prime Characteristic Fields
Kimmo Jarvinen, Andrea Miele, Reza Azarderakhsh, Patrick Longa
MSR-TR-2016-10 | June 2016
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FourQNEON: Faster Elliptic Curve Scalar Multiplications on ARM Processors
MSR-TR-2016-25 | May 2016
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Speeding up the Number Theoretic Transform for Faster Ideal Lattice-Based Cryptography
Patrick Longa, Michael Naehrig
MSR-TR-2016-23 | May 2016
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FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime
Craig Costello, Patrick Longa
Advances in Cryptology - ASIACRYPT, 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November 29 - December 3, 2015 | December 2015
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Specification of Curve Selection and Supported Curve Parameters in MSR ECCLib
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-49 | June 2015
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A brief discussion on selecting new elliptic curves
Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-46 | June 2015
Position paper presented at the NIST Workshop on Elliptic Curve Cryptography Standards (http://www.nist.gov/itl/csd/ct/ecc-workshop.cfm).
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Selecting Elliptic Curves for Cryptography: an Efficiency and Security Analysis
Joppe Bos, Michael Naehrig, Patrick Longa, Craig Costello
Journal of Cryptographic Engineering | May 2015
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Efficient and Secure Algorithms for GLV-Based Scalar Multiplication and their Implementation on GLV-GLS Curves (Extended Version)
Armando Faz-Hernandez, Patrick Longa, Ana Sanchez
Journal of Cryptographic Engineering | September 2014
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Four-Dimensional Gallant-Lambert-Vanstone Scalar Multiplication (Full version)
Patrick Longa, Francesco Sica
Journal of Cryptology | April 2014
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The Realm of the Pairings (Invited Paper)
Diego F. Aranha, Paulo S.L.M. Barreto, Patrick Longa, Jefferson E. Ricardini
Selected Areas in Cryptography (SAC 2013) | January 2013
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Four-Dimensional Gallant-Lambert-Vanstone Scalar Multiplication
Patrick Longa, Francesco Sica
Advances in Cryptology - ASIACRYPT 2012 | December 2012
Advances in Cryptology - ASIACRYPT 2012
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Implementing 4-Dimensional GLV Method on GLS Elliptic Curves with j-Invariant 0
Zhi Hu, Patrick Longa, Maozhi Xu
Journal of Designs, Codes and Cryptography | June 2012
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Efficient Compression of SIDH Public Keys
Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
EUROCRYPT 2017 | October 2016
-
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
-
-
-
FourQ on embedded devices with strong countermeasures against side-channel attacks
Patrick Longa, Zhe Liu, Geovandro Pereira, Oscar Reparaz, Hwajeong Seo
MSR-TR-2017-18 | May 2017
-
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
-
SchnorrQ: Schnorr signatures on FourQ
Craig Costello, Patrick Longa
July 2016
-
FourQ on FPGA: New Hardware Speed Records for Elliptic Curve Cryptography over Large Prime Characteristic Fields
Kimmo Jarvinen, Andrea Miele, Reza Azarderakhsh, Patrick Longa
MSR-TR-2016-10 | June 2016
-
FourQNEON: Faster Elliptic Curve Scalar Multiplications on ARM Processors
MSR-TR-2016-25 | May 2016
-
Speeding up the Number Theoretic Transform for Faster Ideal Lattice-Based Cryptography
Patrick Longa, Michael Naehrig
MSR-TR-2016-23 | May 2016
-
FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime
Craig Costello, Patrick Longa
Advances in Cryptology - ASIACRYPT, 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November 29 - December 3, 2015 | December 2015
-
Specification of Curve Selection and Supported Curve Parameters in MSR ECCLib
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-49 | June 2015
-
A brief discussion on selecting new elliptic curves
Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-46 | June 2015
Position paper presented at the NIST Workshop on Elliptic Curve Cryptography Standards (http://www.nist.gov/itl/csd/ct/ecc-workshop.cfm).
-
Selecting Elliptic Curves for Cryptography: an Efficiency and Security Analysis
Joppe Bos, Michael Naehrig, Patrick Longa, Craig Costello
Journal of Cryptographic Engineering | May 2015
-
Efficient and Secure Algorithms for GLV-Based Scalar Multiplication and their Implementation on GLV-GLS Curves (Extended Version)
Armando Faz-Hernandez, Patrick Longa, Ana Sanchez
Journal of Cryptographic Engineering | September 2014
-
Four-Dimensional Gallant-Lambert-Vanstone Scalar Multiplication (Full version)
Patrick Longa, Francesco Sica
Journal of Cryptology | April 2014
-
The Realm of the Pairings (Invited Paper)
Diego F. Aranha, Paulo S.L.M. Barreto, Patrick Longa, Jefferson E. Ricardini
Selected Areas in Cryptography (SAC 2013) | January 2013
-
Four-Dimensional Gallant-Lambert-Vanstone Scalar Multiplication
Patrick Longa, Francesco Sica
Advances in Cryptology - ASIACRYPT 2012 | December 2012
Advances in Cryptology - ASIACRYPT 2012
-
Implementing 4-Dimensional GLV Method on GLS Elliptic Curves with j-Invariant 0
Zhi Hu, Patrick Longa, Maozhi Xu
Journal of Designs, Codes and Cryptography | June 2012
-
-
-
FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime
Craig Costello, Patrick Longa
Advances in Cryptology - ASIACRYPT, 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November 29 - December 3, 2015 | December 2015
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-
-
Selecting Elliptic Curves for Cryptography: an Efficiency and Security Analysis
Joppe Bos, Michael Naehrig, Patrick Longa, Craig Costello
Journal of Cryptographic Engineering | May 2015
-
-
-
Efficient Compression of SIDH Public Keys
Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
EUROCRYPT 2017 | October 2016
-
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
-
FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime
Craig Costello, Patrick Longa
Advances in Cryptology - ASIACRYPT, 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November 29 - December 3, 2015 | December 2015
-
The Realm of the Pairings (Invited Paper)
Diego F. Aranha, Paulo S.L.M. Barreto, Patrick Longa, Jefferson E. Ricardini
Selected Areas in Cryptography (SAC 2013) | January 2013
-
Four-Dimensional Gallant-Lambert-Vanstone Scalar Multiplication
Patrick Longa, Francesco Sica
Advances in Cryptology - ASIACRYPT 2012 | December 2012
Advances in Cryptology - ASIACRYPT 2012
-
-
-
FourQ on embedded devices with strong countermeasures against side-channel attacks
Patrick Longa, Zhe Liu, Geovandro Pereira, Oscar Reparaz, Hwajeong Seo
MSR-TR-2017-18 | May 2017
-
FourQ on FPGA: New Hardware Speed Records for Elliptic Curve Cryptography over Large Prime Characteristic Fields
Kimmo Jarvinen, Andrea Miele, Reza Azarderakhsh, Patrick Longa
MSR-TR-2016-10 | June 2016
-
FourQNEON: Faster Elliptic Curve Scalar Multiplications on ARM Processors
MSR-TR-2016-25 | May 2016
-
Speeding up the Number Theoretic Transform for Faster Ideal Lattice-Based Cryptography
Patrick Longa, Michael Naehrig
MSR-TR-2016-23 | May 2016
-
Specification of Curve Selection and Supported Curve Parameters in MSR ECCLib
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-49 | June 2015
-
A brief discussion on selecting new elliptic curves
Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-46 | June 2015
Position paper presented at the NIST Workshop on Elliptic Curve Cryptography Standards (http://www.nist.gov/itl/csd/ct/ecc-workshop.cfm).
-
-
-
SchnorrQ: Schnorr signatures on FourQ
Craig Costello, Patrick Longa
July 2016
-
-
-
Selecting Elliptic Curves for Cryptography: an Efficiency and Security Analysis
Joppe Bos, Michael Naehrig, Patrick Longa, Craig Costello
Journal of Cryptographic Engineering | May 2015
-
Efficient and Secure Algorithms for GLV-Based Scalar Multiplication and their Implementation on GLV-GLS Curves (Extended Version)
Armando Faz-Hernandez, Patrick Longa, Ana Sanchez
Journal of Cryptographic Engineering | September 2014
-
Four-Dimensional Gallant-Lambert-Vanstone Scalar Multiplication (Full version)
Patrick Longa, Francesco Sica
Journal of Cryptology | April 2014
-
Implementing 4-Dimensional GLV Method on GLS Elliptic Curves with j-Invariant 0
Zhi Hu, Patrick Longa, Maozhi Xu
Journal of Designs, Codes and Cryptography | June 2012
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