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Longa, Patrick

Co-Author Distance
Author ID: longa.patrick Recent zbMATH articles by "Longa, Patrick"
Published as: Longa, Patrick
Documents Indexed: 22 Publications since 2008
2 Contributions as Editor
Co-Authors: 37 Co-Authors with 23 Joint Publications
935 Co-Co-Authors
all top 5

Co-Authors

1 single-authored
4 Costello, Craig
4 Naehrig, Michael
3 Gebotys, Catherine H.
2 Aranha, Diego F.
2 Azarderakhsh, Reza
2 Barreto, Paulo S. L. M.
2 Jao, David
2 Liu, Zhe
2 Miri, Ali
2 Renes, Joost
2 Ricardini, Jefferson E.
2 Sica, Francesco
1 Alkim, Erdem
1 Bindel, Nina
1 De Feo, Luca
1 Faz-Hernández, Armando
1 Grewal, Gurleen
1 Hu, Shi
1 Hu, Zhi
1 Järvinen, Kimmo U.
1 Karabina, Koray
1 Koç, Çetin Kaya
1 Krämer, Juliane
1 Leroux, Antonin
1 López, Julio E.
1 Miele, Andrea
1 Pereira, Geovandro C. C. F.
1 Ràfols, Carla
1 Reparaz, Oscar
1 Sánchez, Ana Helena
1 Seo, Hwajeong
1 Szefer, Jakub
1 Urbanik, David
1 Virdia, Fernando
1 Wang, Wen
1 Wesolowski, Benjamin
1 Xu, Maozhi

Serials

2 IEEE Transactions on Computers
1 Journal of Cryptology
1 Designs, Codes and Cryptography
1 Lecture Notes in Computer Science
all top 5

Fields

24 Information and communication theory, circuits (94-XX)
14 Algebraic geometry (14-XX)
6 Computer science (68-XX)
5 Number theory (11-XX)
4 Quantum theory (81-XX)
2 General and overarching topics; collections (00-XX)
1 Numerical analysis (65-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

23 Publications have been cited 287 times in 209 Documents Cited by ▼ Year ▼
Efficient algorithms for supersingular isogeny Diffie-Hellman. Zbl 1384.94046
Costello, Craig; Longa, Patrick; Naehrig, Michael
63
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
32
2011
Efficient compression of SIDH public keys. Zbl 1420.94054
Costello, Craig; Jao, David; Longa, Patrick; Naehrig, Michael; Renes, Joost; Urbanik, David
28
2017
Four\(\mathbb {Q}\): four-dimensional decompositions on a \(\mathbb {Q}\)-curve over the Mersenne prime. Zbl 1396.94070
Costello, Craig; Longa, Patrick
17
2015
Speeding up the number theoretic transform for faster ideal lattice-based cryptography. Zbl 1398.94137
Longa, Patrick; Naehrig, Michael
16
2016
New composite operations and precomputation scheme for elliptic curve cryptosystems over prime fields. Zbl 1162.94387
Longa, Patrick; Miri, Ali
14
2008
Four-dimensional Gallant-Lambert-Vanstone scalar multiplication. Zbl 1292.94107
Longa, Patrick; Sica, Francesco
13
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.
13
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.
13
2020
Efficient implementation of bilinear pairings on ARM processors. Zbl 1327.94049
Grewal, Gurleen; Azarderakhsh, Reza; Longa, Patrick; Hu, Shi; Jao, David
9
2013
Improved classical cryptanalysis of SIKE in practice. Zbl 1481.94093
Costello, Craig; Longa, Patrick; Naehrig, Michael; Renes, Joost; Virdia, Fernando
9
2020
Fast multibase methods and other several optimizations for elliptic curve scalar multiplication. Zbl 1227.94054
Longa, Patrick; Gebotys, Catherine
9
2009
Fast and flexible elliptic curve point arithmetic over prime fields. Zbl 1374.94794
Longa, Patrick; Miri, Ali
8
2008
Four-dimensional Gallant-Lambert-Vanstone scalar multiplication. Zbl 1297.94088
Longa, Patrick; Sica, Francesco
8
2014
The realm of the pairings. Zbl 1321.94034
Aranha, Diego F.; Barreto, Paulo S. L. M.; Longa, Patrick; Ricardini, Jefferson E.
7
2014
Implementing the 4-dimensional GLV method on GLS elliptic curves with \(j\)-invariant 0. Zbl 1253.14027
Hu, Zhi; Longa, Patrick; Xu, Maozhi
7
2012
The cost to break SIKE: a comparative hardware-based analysis with AES and SHA-3. Zbl 07512106
Longa, Patrick; Wang, Wen; Szefer, Jakub
5
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
5
2017
Efficient techniques for high-speed elliptic curve cryptography. Zbl 1297.94087
Longa, Patrick; Gebotys, Catherine
5
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
3
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
1
2016
Four\(\mathbb {Q}\)NEON: faster elliptic curve scalar multiplications on ARM processors. Zbl 1418.94054
Longa, Patrick
1
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
1
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
3
2023
The cost to break SIKE: a comparative hardware-based analysis with AES and SHA-3. Zbl 07512106
Longa, Patrick; Wang, Wen; Szefer, Jakub
5
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
1
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.
13
2020
Improved classical cryptanalysis of SIKE in practice. Zbl 1481.94093
Costello, Craig; Longa, Patrick; Naehrig, Michael; Renes, Joost; Virdia, Fernando
9
2020
Efficient compression of SIDH public keys. Zbl 1420.94054
Costello, Craig; Jao, David; Longa, Patrick; Naehrig, Michael; Renes, Joost; Urbanik, David
28
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
5
2017
Four\(\mathbb {Q}\)NEON: faster elliptic curve scalar multiplications on ARM processors. Zbl 1418.94054
Longa, Patrick
1
2017
Efficient algorithms for supersingular isogeny Diffie-Hellman. Zbl 1384.94046
Costello, Craig; Longa, Patrick; Naehrig, Michael
63
2016
Speeding up the number theoretic transform for faster ideal lattice-based cryptography. Zbl 1398.94137
Longa, Patrick; Naehrig, Michael
16
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
1
2016
Four\(\mathbb {Q}\): four-dimensional decompositions on a \(\mathbb {Q}\)-curve over the Mersenne prime. Zbl 1396.94070
Costello, Craig; Longa, Patrick
17
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.
13
2014
Four-dimensional Gallant-Lambert-Vanstone scalar multiplication. Zbl 1297.94088
Longa, Patrick; Sica, Francesco
8
2014
The realm of the pairings. Zbl 1321.94034
Aranha, Diego F.; Barreto, Paulo S. L. M.; Longa, Patrick; Ricardini, Jefferson E.
7
2014
Efficient implementation of bilinear pairings on ARM processors. Zbl 1327.94049
Grewal, Gurleen; Azarderakhsh, Reza; Longa, Patrick; Hu, Shi; Jao, David
9
2013
Four-dimensional Gallant-Lambert-Vanstone scalar multiplication. Zbl 1292.94107
Longa, Patrick; Sica, Francesco
13
2012
Implementing the 4-dimensional GLV method on GLS elliptic curves with \(j\)-invariant 0. Zbl 1253.14027
Hu, Zhi; Longa, Patrick; Xu, Maozhi
7
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
32
2011
Efficient techniques for high-speed elliptic curve cryptography. Zbl 1297.94087
Longa, Patrick; Gebotys, Catherine
5
2010
Fast multibase methods and other several optimizations for elliptic curve scalar multiplication. Zbl 1227.94054
Longa, Patrick; Gebotys, Catherine
9
2009
New composite operations and precomputation scheme for elliptic curve cryptosystems over prime fields. Zbl 1162.94387
Longa, Patrick; Miri, Ali
14
2008
Fast and flexible elliptic curve point arithmetic over prime fields. Zbl 1374.94794
Longa, Patrick; Miri, Ali
8
2008
all cited Publications top 5 cited Publications
all top 5

Cited by 401 Authors

15 Azarderakhsh, Reza
10 Costello, Craig
10 Jao, David
9 De Feo, Luca
9 Longa, Patrick
9 Petit, Christophe
9 Rodríguez-Henríquez, Francisco
8 Aranha, Diego F.
7 Galbraith, Steven D.
6 Mozaffari-Kermani, Mehran
6 Naehrig, Michael
5 Barreto, Paulo S. L. M.
5 Fouotsa, Tako Boris
5 Hisil, Huseyin
5 Hu, Zhi
5 Karabina, Koray
5 Koziel, Brian
5 Pereira, Geovandro C. C. F.
4 Bernstein, Daniel Julius
4 Chi-Domínguez, Jesús-Javier
4 Jalali, Amir
4 Lange, Tanja
4 López, Julio E.
4 Panny, Lorenz
4 Renes, Joost
4 Wesolowski, Benjamin
4 Xu, Maozhi
4 Yu, Wei
3 Cervantes-Vázquez, Daniel
3 Duquesne, Sylvain
3 El Housni, Youssef
3 El Mrabet, Nadia
3 Faz-Hernández, Armando
3 Guillevic, Aurore
3 Hofheinz, Dennis
3 Hutchinson, Aaron
3 Karati, Sabyasachi
3 Lin, Dongdai
3 Liu, Zhe
3 Pan, Jiaxin
3 Sarkar, Palash
3 Seo, Hwajeong
3 Soukharev, Vladimir
3 Ti, Yan Bo
3 Wang, Kunpeng
3 Yi, Hairong
2 Abe, Masayuki
2 Alkim, Erdem
2 Basso, Andrea
2 Chuengsatiansup, Chitchanok
2 Doliskani, Javad
2 Esser, Andre
2 Fouotsa, Emmanuel
2 Ghammam, Loubna
2 Gong, Ting
2 Gorla, Elisa
2 Hasegawa, Shingo
2 Hu, Honggang
2 Jung, Taeho
2 Kameyama, Yukiyoshi
2 Khleborodov, Denis
2 Kim, Kwang Ho
2 Knapp, Edward
2 Kohel, David R.
2 Krämer, Juliane
2 Kutas, Péter
2 Lauter, Kristin Estella
2 Le Dévéhat, Anaëlle
2 LeGrow, Jason Travis
2 Leroux, Antonin
2 Li, Bao
2 Li, Songsong
2 Lin, Kaizhan
2 Lin, Xibin
2 Lyubashevsky, Vadim
2 Martindale, Chloe
2 Massierer, Maike
2 Masson, Simon
2 Masuda, Masahiro
2 Menezes, Alfred J.
2 Merz, Simon-Philipp
2 Nishimaki, Ryo
2 Ohkubo, Miyako
2 Oliveira, Thomaz
2 Ouyang, Yi
2 Paterson, Kenneth G.
2 Qi, Yanfeng
2 Reijnders, Krijn
2 Reith, Steffen
2 Shani, Barak
2 Shizuya, Hiroki
2 Silva, Javier
2 Smith, Benjamin Andrew
2 Takeshita, Jonathan
2 Tang, Chunming
2 Taraskin, Oleg
2 Teruya, Tadanori
2 Urbanik, David
2 Uzunkol, Osmanbey
2 Wang, Bei
...and 301 more Authors
all top 5

Cited in 28 Serials

11 Journal of Cryptology
10 Designs, Codes and Cryptography
5 Journal of Mathematical Cryptology
4 Information Processing Letters
3 Finite Fields and their Applications
3 Advances in Mathematics of Communications
3 Science China. Information Sciences
3 Matematicheskie Voprosy Kriptografii
2 Discrete Applied Mathematics
2 Mathematics of Computation
2 Quantum Information Processing
2 Frontiers of Computer Science
1 Mathematische Semesterberichte
1 ACM Transactions on Mathematical Software
1 Applied Mathematics and Computation
1 Information Sciences
1 Theoretical Computer Science
1 Bulletin of the Iranian Mathematical Society
1 Applicable Algebra in Engineering, Communication and Computing
1 Advances in Computational Mathematics
1 Arab Journal of Mathematical Sciences
1 LMS Journal of Computation and Mathematics
1 Journal of Applied Mathematics and Computing
1 Groups, Complexity, Cryptology
1 Cryptography and Communications
1 Malaysian Journal of Mathematical Sciences
1 JSIAM Letters
1 AIMS Mathematics
all top 5

Cited in 11 Fields

193 Information and communication theory, circuits (94-XX)
81 Algebraic geometry (14-XX)
48 Quantum theory (81-XX)
47 Number theory (11-XX)
40 Computer science (68-XX)
4 Combinatorics (05-XX)
3 Numerical analysis (65-XX)
2 Field theory and polynomials (12-XX)
1 Group theory and generalizations (20-XX)
1 Mechanics of particles and systems (70-XX)
1 Statistical mechanics, structure of matter (82-XX)

Citations by Year