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Costello, Craig

Co-Author Distance
Author ID: costello.craig Recent zbMATH articles by "Costello, Craig"
Published as: Costello, Craig
Documents Indexed: 33 Publications since 2009, including 3 Additional arXiv Preprints
Co-Authors: 29 Co-Authors with 30 Joint Publications
719 Co-Co-Authors
all top 5

Co-Authors

3 single-authored
9 Naehrig, Michael
7 Hisil, Huseyin
6 Smith, Benjamin Andrew
5 Lauter, Kristin Estella
4 Bos, Joppe W.
4 Longa, Patrick
3 Boyd, Colin A.
3 Corte-Real Santos, Maria
3 González Nieto, Juan Manuel
3 Renes, Joost
3 Wong, Kenneth Koon-Ho
2 Chung, Ping Ngai
1 Barreto, Paulo S. L. M.
1 Batina, Lejla
1 Bruno, Giacomo
1 Deines-Schartz, Alyson
1 Eriksen, Jonathan Komada
1 Jao, David
1 Lange, Tanja
1 Miele, Andrea
1 Misoczki, Rafael
1 Pereira, Geovandro C. C. F.
1 Shi, Jia
1 Stebila, Douglas
1 Sterner, Bruno
1 Urbanik, David
1 Virdia, Fernando
1 Yang, Tonghai
1 Zanon, Gustavo H. M.

Serials

2 Journal of Cryptology
1 LMS Journal of Computation and Mathematics

Fields

29 Information and communication theory, circuits (94-XX)
17 Algebraic geometry (14-XX)
8 Quantum theory (81-XX)
7 Number theory (11-XX)
1 Field theory and polynomials (12-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

26 Publications have been cited 311 times in 218 Documents Cited by ▼ Year ▼
Efficient algorithms for supersingular isogeny Diffie-Hellman. Zbl 1384.94046
Costello, Craig; Longa, Patrick; Naehrig, Michael
59
2016
A simple and compact algorithm for SIDH with arbitrary degree isogenies. Zbl 1380.94081
Costello, Craig; Hisil, Huseyin
34
2017
Efficient compression of SIDH public keys. Zbl 1420.94054
Costello, Craig; Jao, David; Longa, Patrick; Naehrig, Michael; Renes, Joost; Urbanik, David
27
2017
B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion. Zbl 1511.94082
Costello, Craig
20
2020
Faster pairing computations on curves with high-degree twists. Zbl 1279.94069
Costello, Craig; Lange, Tanja; Naehrig, Michael
20
2010
Complete addition formulas for prime order elliptic curves. Zbl 1385.14001
Renes, Joost; Costello, Craig; Batina, Lejla
16
2016
Subgroup security in pairing-based cryptography. Zbl 1370.94485
Barreto, Paulo S. L. M.; Costello, Craig; Misoczki, Rafael; Naehrig, Michael; Pereira, Geovandro C. C. F.; Zanon, Gustavo
16
2015
Four\(\mathbb {Q}\): four-dimensional decompositions on a \(\mathbb {Q}\)-curve over the Mersenne prime. Zbl 1396.94070
Costello, Craig; Longa, Patrick
16
2015
Group law computations on Jacobians of hyperelliptic curves. Zbl 1292.94049
Costello, Craig; Lauter, Kristin
13
2012
Fast cryptography in genus 2. Zbl 1306.94033
Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin
12
2013
Faster compact Diffie-Hellman: endomorphisms on the \(x\)-line. Zbl 1332.94063
Costello, Craig; Hisil, Huseyin; Smith, Benjamin
9
2014
Exponentiating in pairing groups. Zbl 1362.94021
Bos, Joppe W.; Costello, Craig; Naehrig, Michael
7
2014
Improved classical cryptanalysis of SIKE in practice. Zbl 1481.94093
Costello, Craig; Longa, Patrick; Naehrig, Michael; Renes, Joost; Virdia, Fernando
7
2020
Jacobian coordinates on genus 2 curves. Zbl 1377.94053
Hisil, Huseyin; Costello, Craig
6
2017
The supersingular isogeny problem in genus 2 and beyond. Zbl 1501.94037
Costello, Craig; Smith, Benjamin
6
2020
Fixed argument pairings. Zbl 1285.94050
Costello, Craig; Stebila, Douglas
6
2010
Elliptic and hyperelliptic curves: a practical security analysis. Zbl 1291.94061
Bos, Joppe W.; Costello, Craig; Miele, Andrea
6
2014
Attractive subfamilies of BLS curves for implementing high-security pairings. Zbl 1291.94071
Costello, Craig; Lauter, Kristin; Naehrig, Michael
5
2011
Jacobian coordinates on genus 2 curves. Zbl 1306.94062
Hisil, Huseyin; Costello, Craig
4
2014
Fast cryptography in genus 2. Zbl 1351.94028
Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin
4
2016
Constructing abelian surfaces for cryptography via Rosenhain invariants. Zbl 1296.11067
Costello, Craig; Deines-Schartz, Alyson; Lauter, Kristin; Yang, Tonghai
4
2014
Sieving for twin smooth integers with solutions to the Prouhet-Tarry-Escott problem. Zbl 1483.94040
Costello, Craig; Meyer, Michael; Naehrig, Michael
4
2021
Computing supersingular isogenies on Kummer surfaces. Zbl 1447.94027
Costello, Craig
3
2018
Faster pairings on special Weierstrass curves. Zbl 1248.94062
Costello, Craig; Hisil, Huseyin; Boyd, Colin; Gonzalez Nieto, Juan; Wong, Kenneth Koon-Ho
3
2009
Supersingular isogeny key exchange for beginners. Zbl 1453.94072
Costello, Craig
3
2020
Accelerating the Delfs-Galbraith algorithm with fast subfield root detection. Zbl 1517.94086
Corte-Real Santos, Maria; Costello, Craig; Shi, Jia
1
2022
Accelerating the Delfs-Galbraith algorithm with fast subfield root detection. Zbl 1517.94086
Corte-Real Santos, Maria; Costello, Craig; Shi, Jia
1
2022
Sieving for twin smooth integers with solutions to the Prouhet-Tarry-Escott problem. Zbl 1483.94040
Costello, Craig; Meyer, Michael; Naehrig, Michael
4
2021
B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion. Zbl 1511.94082
Costello, Craig
20
2020
Improved classical cryptanalysis of SIKE in practice. Zbl 1481.94093
Costello, Craig; Longa, Patrick; Naehrig, Michael; Renes, Joost; Virdia, Fernando
7
2020
The supersingular isogeny problem in genus 2 and beyond. Zbl 1501.94037
Costello, Craig; Smith, Benjamin
6
2020
Supersingular isogeny key exchange for beginners. Zbl 1453.94072
Costello, Craig
3
2020
Computing supersingular isogenies on Kummer surfaces. Zbl 1447.94027
Costello, Craig
3
2018
A simple and compact algorithm for SIDH with arbitrary degree isogenies. Zbl 1380.94081
Costello, Craig; Hisil, Huseyin
34
2017
Efficient compression of SIDH public keys. Zbl 1420.94054
Costello, Craig; Jao, David; Longa, Patrick; Naehrig, Michael; Renes, Joost; Urbanik, David
27
2017
Jacobian coordinates on genus 2 curves. Zbl 1377.94053
Hisil, Huseyin; Costello, Craig
6
2017
Efficient algorithms for supersingular isogeny Diffie-Hellman. Zbl 1384.94046
Costello, Craig; Longa, Patrick; Naehrig, Michael
59
2016
Complete addition formulas for prime order elliptic curves. Zbl 1385.14001
Renes, Joost; Costello, Craig; Batina, Lejla
16
2016
Fast cryptography in genus 2. Zbl 1351.94028
Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin
4
2016
Subgroup security in pairing-based cryptography. Zbl 1370.94485
Barreto, Paulo S. L. M.; Costello, Craig; Misoczki, Rafael; Naehrig, Michael; Pereira, Geovandro C. C. F.; Zanon, Gustavo
16
2015
Four\(\mathbb {Q}\): four-dimensional decompositions on a \(\mathbb {Q}\)-curve over the Mersenne prime. Zbl 1396.94070
Costello, Craig; Longa, Patrick
16
2015
Faster compact Diffie-Hellman: endomorphisms on the \(x\)-line. Zbl 1332.94063
Costello, Craig; Hisil, Huseyin; Smith, Benjamin
9
2014
Exponentiating in pairing groups. Zbl 1362.94021
Bos, Joppe W.; Costello, Craig; Naehrig, Michael
7
2014
Elliptic and hyperelliptic curves: a practical security analysis. Zbl 1291.94061
Bos, Joppe W.; Costello, Craig; Miele, Andrea
6
2014
Jacobian coordinates on genus 2 curves. Zbl 1306.94062
Hisil, Huseyin; Costello, Craig
4
2014
Constructing abelian surfaces for cryptography via Rosenhain invariants. Zbl 1296.11067
Costello, Craig; Deines-Schartz, Alyson; Lauter, Kristin; Yang, Tonghai
4
2014
Fast cryptography in genus 2. Zbl 1306.94033
Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin
12
2013
Group law computations on Jacobians of hyperelliptic curves. Zbl 1292.94049
Costello, Craig; Lauter, Kristin
13
2012
Attractive subfamilies of BLS curves for implementing high-security pairings. Zbl 1291.94071
Costello, Craig; Lauter, Kristin; Naehrig, Michael
5
2011
Faster pairing computations on curves with high-degree twists. Zbl 1279.94069
Costello, Craig; Lange, Tanja; Naehrig, Michael
20
2010
Fixed argument pairings. Zbl 1285.94050
Costello, Craig; Stebila, Douglas
6
2010
Faster pairings on special Weierstrass curves. Zbl 1248.94062
Costello, Craig; Hisil, Huseyin; Boyd, Colin; Gonzalez Nieto, Juan; Wong, Kenneth Koon-Ho
3
2009
all cited Publications top 5 cited Publications
all top 5

Cited by 346 Authors

15 Costello, Craig
12 Azarderakhsh, Reza
12 Petit, Christophe
11 De Feo, Luca
11 Naehrig, Michael
9 Jao, David
8 Onuki, Hiroshi
8 Rodríguez-Henríquez, Francisco
7 Fouotsa, Tako Boris
7 Galbraith, Steven D.
7 Lauter, Kristin Estella
7 Panny, Lorenz
7 Smith, Benjamin Andrew
7 Takagi, Tsuyoshi
6 Chi-Domínguez, Jesús-Javier
6 Koziel, Brian
6 Wesolowski, Benjamin
5 Fouotsa, Emmanuel
5 Hu, Zhi
5 Longa, Patrick
5 Martindale, Chloe
5 Moriya, Tomoki
5 Renes, Joost
4 Duquesne, Sylvain
4 Guillevic, Aurore
4 Hisil, Huseyin
4 Hutchinson, Aaron
4 Jalali, Amir
4 Karabina, Koray
4 Karati, Sabyasachi
4 Lange, Tanja
4 Mozaffari-Kermani, Mehran
4 Pereira, Geovandro C. C. F.
4 Sarkar, Palash
4 Tsyganov, Andreĭ Vladimirovich
3 Aranha, Diego F.
3 Barreto, Paulo S. L. M.
3 Basso, Andrea
3 Cervantes-Vázquez, Daniel
3 El Housni, Youssef
3 El Mrabet, Nadia
3 Hofheinz, Dennis
3 Huang, Yan
3 Kutas, Péter
3 LeGrow, Jason Travis
3 Leroux, Antonin
3 Li, Bao
3 López, Julio E.
3 Maino, Luciano
3 Pan, Jiaxin
3 Robert, Damien
3 Soukharev, Vladimir
3 Ti, Yan Bo
3 Uzunkol, Osmanbey
3 Wu, Hongfeng
3 Xu, Xiu
3 Yang, Tonghai
3 Zhang, Fangguo
3 Zhao, Changan
3 Zhou, Zijian
2 Abe, Masayuki
2 Ateniese, Giuseppe
2 Bernstein, Daniel Julius
2 Castryck, Wouter
2 Chuengsatiansup, Chitchanok
2 Corte-Real Santos, Maria
2 Di Crescenzo, Giovanni
2 Eriksen, Jonathan Komada
2 Esser, Andre
2 Fan, Xuejun
2 Faz-Hernández, Armando
2 Francati, Danilo
2 Ghammam, Loubna
2 Ionica, Sorina
2 Jin, Yaoan
2 Kahrobaei, Delaram
2 Katsura, Toshiyuki
2 Khodjaeva, Matluba
2 Kohel, David R.
2 Kunzweiler, Sabrina
2 Li, Liangze
2 Lin, Dongdai
2 Lin, Kaizhan
2 Lubicz, David
2 Luo, Guiwen
2 Masson, Simon
2 Menezes, Alfred J.
2 Merz, Simon-Philipp
2 Miyaji, Atsuko
2 Nishimaki, Ryo
2 Nuñez, David
2 Ohkubo, Miyako
2 Oliveira, Thomaz
2 Pintore, Federico
2 Pope, Giacomo
2 Reith, Steffen
2 Shani, Barak
2 Shpilrain, Vladimir
2 Silva, Javier
2 Taraskin, Oleg
...and 246 more Authors
all top 5

Cited in 37 Serials

9 Journal of Cryptology
8 Journal of Mathematical Cryptology
7 Advances in Mathematics of Communications
6 Designs, Codes and Cryptography
5 Finite Fields and their Applications
4 Quantum Information Processing
3 Journal of Number Theory
3 JSIAM Letters
2 Discrete Applied Mathematics
2 Information Processing Letters
2 Applied Mathematics and Computation
2 Applicable Algebra in Engineering, Communication and Computing
2 LMS Journal of Computation and Mathematics
2 Matematicheskie Voprosy Kriptografii
1 Mathematische Semesterberichte
1 Theoretical and Mathematical Physics
1 Journal of Geometry and Physics
1 ACM Transactions on Mathematical Software
1 Journal of Algebra
1 Theoretical Computer Science
1 Chinese Annals of Mathematics. Series B
1 Bulletin of the Iranian Mathematical Society
1 Journal of Symbolic Computation
1 Arab Journal of Mathematical Sciences
1 Mathematical Problems in Engineering
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Regular and Chaotic Dynamics
1 Journal of Applied Mathematics and Computing
1 Journal of Algebra and its Applications
1 International Journal of Number Theory
1 Mathematics in Computer Science
1 Groups, Complexity, Cryptology
1 Frontiers of Computer Science
1 European Journal of Mathematics
1 Research in Number Theory
1 Prikladnaya Diskretnaya Matematika
1 Russian Journal of Nonlinear Dynamics
all top 5

Cited in 13 Fields

190 Information and communication theory, circuits (94-XX)
103 Algebraic geometry (14-XX)
76 Number theory (11-XX)
56 Quantum theory (81-XX)
30 Computer science (68-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Mechanics of particles and systems (70-XX)
2 Combinatorics (05-XX)
2 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Numerical analysis (65-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year