Efficient algorithms for supersingular isogeny Diffie-Hellman. Zbl 1384.94046
Costello, Craig; Longa, Patrick; Naehrig, Michael |
|
2016
|
Faster explicit formulas for computing pairings over ordinary curves. Zbl 1282.14046
Aranha, Diego F.; Karabina, Koray; Longa, Patrick; Gebotys, Catherine H.; López, Julio |
|
2011
|
Efficient compression of SIDH public keys. Zbl 1420.94054
Costello, Craig; Jao, David; Longa, Patrick; Naehrig, Michael; Renes, Joost; Urbanik, David |
|
2017
|
Four\(\mathbb {Q}\): four-dimensional decompositions on a \(\mathbb {Q}\)-curve over the Mersenne prime. Zbl 1396.94070
Costello, Craig; Longa, Patrick |
|
2015
|
Speeding up the number theoretic transform for faster ideal lattice-based cryptography. Zbl 1398.94137
Longa, Patrick; Naehrig, Michael |
|
2016
|
New composite operations and precomputation scheme for elliptic curve cryptosystems over prime fields. Zbl 1162.94387
Longa, Patrick; Miri, Ali |
|
2008
|
Four-dimensional Gallant-Lambert-Vanstone scalar multiplication. Zbl 1292.94107
Longa, Patrick; Sica, Francesco |
|
2012
|
Efficient and secure algorithms for GLV-based scalar multiplication and their implementation on GLV-GLS curves. Zbl 1294.94045
Faz-Hernández, Armando; Longa, Patrick; Sánchez, Ana H. |
|
2014
|
The lattice-based digital signature scheme qTESLA. Zbl 07314295
Alkim, Erdem; Barreto, Paulo S. L. M.; Bindel, Nina; Krämer, Juliane; Longa, Patrick; Ricardini, Jefferson E. |
|
2020
|
Efficient implementation of bilinear pairings on ARM processors. Zbl 1327.94049
Grewal, Gurleen; Azarderakhsh, Reza; Longa, Patrick; Hu, Shi; Jao, David |
|
2013
|
Improved classical cryptanalysis of SIKE in practice. Zbl 1481.94093
Costello, Craig; Longa, Patrick; Naehrig, Michael; Renes, Joost; Virdia, Fernando |
|
2020
|
Fast multibase methods and other several optimizations for elliptic curve scalar multiplication. Zbl 1227.94054
Longa, Patrick; Gebotys, Catherine |
|
2009
|
Fast and flexible elliptic curve point arithmetic over prime fields. Zbl 1374.94794
Longa, Patrick; Miri, Ali |
|
2008
|
Four-dimensional Gallant-Lambert-Vanstone scalar multiplication. Zbl 1297.94088
Longa, Patrick; Sica, Francesco |
|
2014
|
The realm of the pairings. Zbl 1321.94034
Aranha, Diego F.; Barreto, Paulo S. L. M.; Longa, Patrick; Ricardini, Jefferson E. |
|
2014
|
Implementing the 4-dimensional GLV method on GLS elliptic curves with \(j\)-invariant 0. Zbl 1253.14027
Hu, Zhi; Longa, Patrick; Xu, Maozhi |
|
2012
|
The cost to break SIKE: a comparative hardware-based analysis with AES and SHA-3. Zbl 07512106
Longa, Patrick; Wang, Wen; Szefer, Jakub |
|
2021
|
Four (mathbbQ) on embedded devices with strong countermeasures against side-channel attacks. Zbl 1446.94151
Liu, Zhe; Longa, Patrick; Pereira, Geovandro C. C. F.; Reparaz, Oscar; Seo, Hwajeong |
|
2017
|
Efficient techniques for high-speed elliptic curve cryptography. Zbl 1297.94087
Longa, Patrick; Gebotys, Catherine |
|
2010
|
New algorithms for the Deuring correspondence. Towards practical and secure SQISign signatures. Zbl 1528.94095
De Feo, Luca; Leroux, Antonin; Longa, Patrick; Wesolowski, Benjamin |
|
2023
|
Four\(\mathbb {Q}\) on FPGA: new hardware speed records for elliptic curve cryptography over large prime characteristic fields. Zbl 1411.94068
Järvinen, Kimmo; Miele, Andrea; Azarderakhsh, Reza; Longa, Patrick |
|
2016
|
Four\(\mathbb {Q}\)NEON: faster elliptic curve scalar multiplications on ARM processors. Zbl 1418.94054
Longa, Patrick |
|
2017
|
Progress in cryptology – LATINCRYPT 2021. 7th international conference on cryptology and information security in Latin America, Bogotá, Colombia, October 6–8, 2021. Proceedings. Zbl 1487.94007
|
|
2021
|
New algorithms for the Deuring correspondence. Towards practical and secure SQISign signatures. Zbl 1528.94095
De Feo, Luca; Leroux, Antonin; Longa, Patrick; Wesolowski, Benjamin |
|
2023
|
The cost to break SIKE: a comparative hardware-based analysis with AES and SHA-3. Zbl 07512106
Longa, Patrick; Wang, Wen; Szefer, Jakub |
|
2021
|
Progress in cryptology – LATINCRYPT 2021. 7th international conference on cryptology and information security in Latin America, Bogotá, Colombia, October 6–8, 2021. Proceedings. Zbl 1487.94007
|
|
2021
|
The lattice-based digital signature scheme qTESLA. Zbl 07314295
Alkim, Erdem; Barreto, Paulo S. L. M.; Bindel, Nina; Krämer, Juliane; Longa, Patrick; Ricardini, Jefferson E. |
|
2020
|
Improved classical cryptanalysis of SIKE in practice. Zbl 1481.94093
Costello, Craig; Longa, Patrick; Naehrig, Michael; Renes, Joost; Virdia, Fernando |
|
2020
|
Efficient compression of SIDH public keys. Zbl 1420.94054
Costello, Craig; Jao, David; Longa, Patrick; Naehrig, Michael; Renes, Joost; Urbanik, David |
|
2017
|
Four (mathbbQ) on embedded devices with strong countermeasures against side-channel attacks. Zbl 1446.94151
Liu, Zhe; Longa, Patrick; Pereira, Geovandro C. C. F.; Reparaz, Oscar; Seo, Hwajeong |
|
2017
|
Four\(\mathbb {Q}\)NEON: faster elliptic curve scalar multiplications on ARM processors. Zbl 1418.94054
Longa, Patrick |
|
2017
|
Efficient algorithms for supersingular isogeny Diffie-Hellman. Zbl 1384.94046
Costello, Craig; Longa, Patrick; Naehrig, Michael |
|
2016
|
Speeding up the number theoretic transform for faster ideal lattice-based cryptography. Zbl 1398.94137
Longa, Patrick; Naehrig, Michael |
|
2016
|
Four\(\mathbb {Q}\) on FPGA: new hardware speed records for elliptic curve cryptography over large prime characteristic fields. Zbl 1411.94068
Järvinen, Kimmo; Miele, Andrea; Azarderakhsh, Reza; Longa, Patrick |
|
2016
|
Four\(\mathbb {Q}\): four-dimensional decompositions on a \(\mathbb {Q}\)-curve over the Mersenne prime. Zbl 1396.94070
Costello, Craig; Longa, Patrick |
|
2015
|
Efficient and secure algorithms for GLV-based scalar multiplication and their implementation on GLV-GLS curves. Zbl 1294.94045
Faz-Hernández, Armando; Longa, Patrick; Sánchez, Ana H. |
|
2014
|
Four-dimensional Gallant-Lambert-Vanstone scalar multiplication. Zbl 1297.94088
Longa, Patrick; Sica, Francesco |
|
2014
|
The realm of the pairings. Zbl 1321.94034
Aranha, Diego F.; Barreto, Paulo S. L. M.; Longa, Patrick; Ricardini, Jefferson E. |
|
2014
|
Efficient implementation of bilinear pairings on ARM processors. Zbl 1327.94049
Grewal, Gurleen; Azarderakhsh, Reza; Longa, Patrick; Hu, Shi; Jao, David |
|
2013
|
Four-dimensional Gallant-Lambert-Vanstone scalar multiplication. Zbl 1292.94107
Longa, Patrick; Sica, Francesco |
|
2012
|
Implementing the 4-dimensional GLV method on GLS elliptic curves with \(j\)-invariant 0. Zbl 1253.14027
Hu, Zhi; Longa, Patrick; Xu, Maozhi |
|
2012
|
Faster explicit formulas for computing pairings over ordinary curves. Zbl 1282.14046
Aranha, Diego F.; Karabina, Koray; Longa, Patrick; Gebotys, Catherine H.; López, Julio |
|
2011
|
Efficient techniques for high-speed elliptic curve cryptography. Zbl 1297.94087
Longa, Patrick; Gebotys, Catherine |
|
2010
|
Fast multibase methods and other several optimizations for elliptic curve scalar multiplication. Zbl 1227.94054
Longa, Patrick; Gebotys, Catherine |
|
2009
|
New composite operations and precomputation scheme for elliptic curve cryptosystems over prime fields. Zbl 1162.94387
Longa, Patrick; Miri, Ali |
|
2008
|
Fast and flexible elliptic curve point arithmetic over prime fields. Zbl 1374.94794
Longa, Patrick; Miri, Ali |
|
2008
|