Steven D. Galbraith - Author Profile

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Galbraith, Steven D.

Author ID:	galbraith.steven-d
Published as:	Galbraith, Steven D.; Galbraith, Steven; Galbraith, S. D.; Galbraith, S. more...less
External Links:	ORCID · dblp

Documents Indexed:	87 Publications since 1999, including 1 Book and 4 Additional arXiv Preprints
	12 Contributions as Editor · 1 Further Contribution
Co-Authors:	91 Co-Authors with 85 Joint Publications
	1,981 Co-Co-Authors

all top 5

Co-Authors

14	single-authored
6	Petit, Christophe
6	Smart, Nigel Paul
5	McKee, James F.
5	Paterson, Kenneth G.
4	Hess, Florian
4	Lin, Xibin
4	Smith, Benjamin Andrew
4	Vercauteren, Frederik
4	Zobernig, Lukas
3	Bai, Shi
3	Benits, Waldyr Dias jun.
3	De Feo, Luca
3	Dobson, Samuel
3	Moriai, Shiho
3	Peyrin, Thomas
3	Ruprai, Raminder S.
3	Shani, Barak
2	Asghar, Muhammad Rizwan
2	Blackburn, Simon R.
2	Cui, Shujie
2	Gaudry, Pierrick
2	Gebregiyorgis, Shishay W.
2	Lai, Yi-Fu
2	Mao, Wenbo
2	Merz, Simon-Philipp
2	Mireles Morales, David J.
2	Ó hÉigeartaigh, Colm
2	Russello, Giovanni
2	Silva, Javier
2	Ti, Yan Bo
1	Avanzi, Roberto Maria
1	Barreto, Paulo S. L. M.
1	Beullens, Ward
1	Blake-Wilson, Simon
1	Blake, Ian Fraser
1	Booher, Jeremy
1	Bowden, Ross S.
1	Burmester, Mike V. D.
1	Chevyrev, Ilya
1	Dahab, Ricardo
1	De Saint Guilhem, Cyprien Delpech
1	Delfs, Christina
1	Dent, Alexander W.
1	Doliskani, Javad
1	Ducas, Léo
1	Dwarakanath, Nagarjun C.
1	Eagle, Philip N. J.
1	Fouotsa, Tako Boris
1	Fowler, Alex J.
1	Gennaro, Rosario
1	Granger, Robert A.
1	Harrison, Keith E.
1	Harrison, Michael C.
1	Heneghan, Chris
1	Holmes, Mark P.
1	Hopkins, Herbie J.
1	Joye, Marc
1	Kunzweiler, Sabrina
1	Laity, Joel
1	Li, Liangze
1	Li, Trey
1	Li, Zengpeng
1	Ma, Chunguang
1	Malone-Lee, John
1	Massimo, Jake
1	Menezes, Alfred J.
1	Morais, Eduardo
1	Murphy, Sean
1	Nandi, Mridul
1	Ong, John B.
1	Oswald, Elisabeth
1	Paulus, Sachar Manfred
1	Pollard, John M.
1	Prest, Thomas
1	Pujolàs, Jordi
1	Ràfols, Carla
1	Ritzenthaler, Christophe
1	Rotger, Victor
1	Seroussi, Gadiel
1	Sheedy, Caroline
1	Sheffield, Daniel
1	Shparlinski, Igor E.
1	Soldera, David
1	Stange, Katherine E.
1	Steinfeld, Ron
1	Stolbunov, Anton
1	Valença, P. C.
1	Verheul, Eric R.
1	Vincent, Christelle
1	Voloch, José Felipe
1	Wang, Ping
1	Weitkämper, Charlotte
1	Yu, Yang
1	Zhang, Fangguo
1	Zhao, Changan

all top 5

Serials

10	Lecture Notes in Computer Science
7	Designs, Codes and Cryptography
4	Journal of Cryptology
4	LMS Journal of Computation and Mathematics
3	Discrete Applied Mathematics
3	Journal of Mathematical Cryptology
2	Mathematics of Computation
2	Applicable Algebra in Engineering, Communication and Computing
2	Finite Fields and their Applications
2	Advances in Mathematics of Communications
1	IEEE Transactions on Information Theory
1	Information Processing Letters
1	Journal of the London Mathematical Society. Second Series
1	Experimental Mathematics
1	Journal de Théorie des Nombres de Bordeaux
1	Mathematics Today (Southend-on-Sea)
1	Chicago Journal of Theoretical Computer Science
1	Quantum Information Processing
1	London Mathematical Society Lecture Note Series
1	The Open Book Series

all top 5

Fields

76	Information and communication theory, circuits (94-XX)
48	Number theory (11-XX)
40	Algebraic geometry (14-XX)
12	General and overarching topics; collections (00-XX)
11	Computer science (68-XX)
8	Quantum theory (81-XX)
1	Combinatorics (05-XX)
1	Field theory and polynomials (12-XX)
1	Commutative algebra (13-XX)
1	Probability theory and stochastic processes (60-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

78 Publications have been cited 1,294 times in 895 Documents	Cited by ▼	Year ▼
Mathematics of public key cryptography. Zbl 1238.94027 Galbraith, Steven D.	112	2012
Pairings for cryptographers. Zbl 1156.94347 Galbraith, Steven D.; Paterson, Kenneth G.; Smart, Nigel P.	111	2008
Advances in elliptic curve cryptography. Zbl 1089.94018	78	2005
On the security of supersingular isogeny cryptosystems. Zbl 1404.94073 Galbraith, Steven D.; Petit, Christophe; Shani, Barak; Ti, Yan Bo	69	2016
SeaSign: compact isogeny signatures from class group actions. Zbl 1509.94155 De Feo, Luca; Galbraith, Steven D.	61	2019
Efficient pairing computation on supersingular abelian varieties. Zbl 1142.14307 Barreto, Paulo S. L. M.; Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Scott, Michael	61	2007
An improved compression technique for signatures based on learning with errors. Zbl 1295.94011 Bai, Shi; Galbraith, Steven D.	54	2014
Computing isogenies between supersingular elliptic curves over \(\mathbb {F}_p\). Zbl 1361.11044 Delfs, Christina; Galbraith, Steven D.	47	2016
Implementing the Tate pairing. Zbl 1058.11072 Galbraith, Steven D.; Harrison, Keith; Soldera, David	46	2002
Identification protocols and signature schemes based on supersingular isogeny problems. Zbl 1420.94065 Galbraith, Steven D.; Petit, Christophe; Silva, Javier	45	2017
Constructing isogenies between elliptic curves over finite fields. Zbl 1018.11028 Galbraith, Steven D.	44	1999
Extending the GHS Weil descent attack. Zbl 1055.94013 Galbraith, Steven D.; Hess, Florian; Smart, Nigel P.	36	2002
Lattice decoding attacks on binary LWE. Zbl 1337.94020 Bai, Shi; Galbraith, Steven D.	27	2014
Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1258.94036 Galbraith, Steven D.; Lin, Xibin; Scott, Michael	27	2011
Recent progress on the elliptic curve discrete logarithm problem. Zbl 1364.11164 Galbraith, Steven D.; Gaudry, Pierrick	23	2016
Ordinary Abelian varieties having small embedding degree. Zbl 1161.11017 Galbraith, S. D.; McKee, J. F.; Valença, P. C.	23	2007
Supersingular curves in cryptography. Zbl 1064.11079 Galbraith, Steven D.	22	2001
Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1239.94048 Galbraith, Steven D.; Lin, Xibin; Scott, Michael	22	2009
Arithmetic on superelliptic curves. Zbl 1013.11026 Galbraith, S. D.; Paulus, S. M.; Smart, N. P.	21	2002
Public key signatures in the multi-user setting. Zbl 1043.94015 Galbraith, S.; Malone-Lee, J.; Smart, N. P.	19	2002
Invisibility and anonymity of undeniable and confirmer signatures. Zbl 1039.94523 Galbraith, Steven D.; Mao, Wenbo	18	2003
Sampling from discrete Gaussians for lattice-based cryptography on a constrained device. Zbl 1372.94425 Dwarakanath, Nagarjun C.; Galbraith, Steven D.	18	2014
Computational problems in supersingular elliptic curve isogenies. Zbl 1400.81083 Galbraith, Steven D.; Vercauteren, Frederik	18	2018
Compact, efficient and UC-secure isogeny-based oblivious transfer. Zbl 1479.94207 Lai, Yi-Fu; Galbraith, Steven D.; de Saint Guilhem, Cyprien Delpech	18	2021
Identification protocols and signature schemes based on supersingular isogeny problems. Zbl 1455.94155 Galbraith, Steven D.; Petit, Christophe; Silva, Javier	17	2020
Using equivalence classes to accelerate solving the discrete logarithm problem in a short interval. Zbl 1270.11124 Galbraith, Steven D.; Ruprai, Raminder S.	17	2010
Easy decision Diffie-Hellman groups. Zbl 1116.14014 Galbraith, Steven D.; Rotger, Victor	16	2004
Improved algorithm for the isogeny problem for ordinary elliptic curves. Zbl 1316.11113 Galbraith, Steven; Stolbunov, Anton	15	2013
Exponentiation in pairing-friendly groups using homomorphisms. Zbl 1186.94441 Galbraith, Steven D.; Scott, Michael	15	2008
Efficient hyperelliptic arithmetic using balanced representation for divisors. Zbl 1232.14017 Galbraith, Steven D.; Harrison, Michael; Mireles Morales, David J.	13	2008
A non-uniform birthday problem with applications to discrete logarithms. Zbl 1246.60015 Galbraith, Steven D.; Holmes, Mark	13	2012
A cryptographic application of Weil descent. Zbl 0981.94025 Galbraith, Steven D.; Smart, Nigel P.	12	1999
Algorithms for the approximate common divisor problem. Zbl 1404.11142 Galbraith, Steven D.; Gebregiyorgis, Shishay W.; Murphy, Sean	12	2016
Aspects of pairing inversion. Zbl 1189.14032 Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik	12	2008
Rational points on \(X_0^+(p)\). Zbl 0960.14010 Galbraith, Steven D.	11	1999
Computing discrete logarithms in an interval. Zbl 1283.11164 Galbraith, Steven D.; Pollard, John M.; Ruprai, Raminder S.	11	2013
Tunable balancing of RSA. Zbl 1127.94346 Galbraith, Steven D.; Heneghan, Chris; McKee, James F.	11	2005
Rational points on \(X^ +_ 0(N)\) and quadratic \(\mathbb Q\)-curves. Zbl 1035.14008 Galbraith, Steven D.	10	2002
RSA-based undeniable signatures for general moduli. Zbl 1048.94511 Galbraith, Steven D.; Mao, Wenbo; Paterson, Kenneth G.	10	2002
Hidden pairings and trapdoor DDH groups. Zbl 1143.94344 Dent, Alexander W.; Galbraith, Steven D.	10	2006
Summation polynomial algorithms for elliptic curves in characteristic two. Zbl 1337.94036 Galbraith, Steven D.; Gebregiyorgis, Shishay W.	9	2014
An improvement to the Gaudry-Schost algorithm for multidimensional discrete logarithm problems. Zbl 1233.11128 Galbraith, Steven; Ruprai, Raminder S.	9	2009
Hyperelliptic pairings. Zbl 1151.11353 Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik	9	2007
Integral matrix Gram root and lattice Gaussian sampling without floats. Zbl 1492.94092 Ducas, Léo; Galbraith, Steven; Prest, Thomas; Yu, Yang	9	2020
Elliptic curve Paillier schemes. Zbl 0995.94027 Galbraith, Steven D.	8	2002
The probability that the number of points on an elliptic curve over a finite field is prime. Zbl 1010.11033 Galbraith, Steven D.; McKee, James	8	2000
Distortion maps for supersingular genus two curves. Zbl 1232.11075 Galbraith, Steven D.; Pujolàs, Jordi; Ritzenthaler, Christophe; Smith, Benjamin	7	2009
SIDH proof of knowledge. Zbl 1519.94100 De Feo, Luca; Dobson, Samuel; Galbraith, Steven D.; Zobernig, Lukas	7	2023
Constructing supersingular elliptic curves with a given endomorphism ring. Zbl 1326.11029 Chevyrev, Ilya; Galbraith, Steven D.	6	2014
Obfuscated fuzzy Hamming distance and conjunctions from subset product problems. Zbl 1455.94156 Galbraith, Steven D.; Zobernig, Lukas	6	2019
Cryptanalysis of two cryptosystems based on group actions. Zbl 0977.94024 Blackburn, Simon R.; Galbraith, Steven	5	1999
Adaptive key recovery attacks on NTRU-based somewhat homomorphic encryption schemes. Zbl 1359.94586 Dahab, Ricardo; Galbraith, Steven; Morais, Eduardo	5	2015
Improved combinatorial algorithms for the inhomogeneous short integer solution problem. Zbl 1435.11144 Bai, Shi; Galbraith, Steven D.; Li, Liangze; Sheffield, Daniel	5	2019
Secure bilinear Diffie-Hellman bits. Zbl 1098.94612 Galbraith, Steven D.; Hopkins, Herbie J.; Shparlinski, Igor E.	4	2004
Computing elliptic curve discrete logarithms with improved baby-step giant-step algorithm. Zbl 1431.11141 Galbraith, Steven; Wang, Ping; Zhang, Fangguo	4	2017
Computing pairings using \(x\)-coordinates only. Zbl 1222.14051 Galbraith, Steven D.; Lin, Xibin	4	2009
An analysis of the vector decomposition problem. Zbl 1162.94359 Galbraith, Steven D.; Verheul, Eric R.	4	2008
Algebraic curves and cryptography. Zbl 1079.94014 Galbraith, Steven; Menezes, Alfred	3	2005
Point compression for Koblitz elliptic curves. Zbl 1213.94099 Eagle, Philip N. J.; Galbraith, Steven D.; Ong, John B.	3	2011
Pairing-based cryptography – Pairing 2008. Second international conference, Egham, UK, September 1–3, 2008. Proceedings. Zbl 1155.94002	3	2008
Pairings on elliptic curves over finite commutative rings. Zbl 1122.94036 Galbraith, Steven D.; McKee, James F.	3	2005
Pairings on hyperelliptic curves with a real model. Zbl 1186.11074 Galbraith, Steven D.; Lin, Xibin; Mireles Morales, David J.	3	2008
Simplified pairing computation and security implications. Zbl 1145.11047 Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Sheedy, Caroline	3	2007
Weil descent of Jacobians. Zbl 1101.14037 Galbraith, Steven D.	2	2003
Limitations of constructive Weil descent. Zbl 1016.11020 Galbraith, Steven D.	2	2001
Finding significant Fourier coefficients: clarifications, simplifications, applications and limitations. Zbl 1472.94051 Galbraith, Steven D.; Laity, Joel; Shani, Barak	2	2018
The multivariate hidden number problem. Zbl 1359.94594 Galbraith, Steven D.; Shani, Barak	2	2015
Advances in cryptology – ASIACRYPT 2018. 24th international conference on the theory and application of cryptology and information security, Brisbane, QLD, Australia, December 2–6, 2018. Proceedings. Part I. Zbl 1402.94008	2	2018
Weaknesses in shared RSA key generation protocols. Zbl 0981.94022 Blackburn, Simon R.; Blake-Wilson, Simon; Burmester, Mike; Galbraith, Steven D.	1	1999
Secure and practical searchable encryption: a position paper. Zbl 1386.94069 Cui, Shujie; Asghar, Muhammad Rizwan; Galbraith, Steven D.; Russello, Giovanni	1	2017
Preventing adaptive key recovery attacks on the GSW levelled homomorphic encryption scheme. Zbl 1381.94078 Li, Zengpeng; Galbraith, Steven D.; Ma, Chunguang	1	2016
Safety in numbers: on the need for robust Diffie-Hellman parameter validation. Zbl 1509.94088 Galbraith, Steven; Massimo, Jake; Paterson, Kenneth G.	1	2019
Proving knowledge of isogenies: a survey. Zbl 1526.94025 Beullens, Ward; De Feo, Luca; Galbraith, Steven D.; Petit, Christophe	1	2023
ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Zbl 1452.11005	1	2020
The GPS identification scheme using Frobenius expansions. Zbl 1166.94303 Benits, Waldyr D. jun.; Galbraith, Steven D.	1	2008
Cryptography and coding. 11th IMA international conference, Cirencester, UK, December 18–20, 2007. Proceedings. Zbl 1130.94004	1	2007
Topics in cryptology – CT-RSA 2022. Cryptographers’ track at the RSA conference 2022, virtual event, March 1–2, 2022. Proceedings. Zbl 1490.94003	1	2022
Self-pairings on hyperelliptic curves. Zbl 1273.14051 Galbraith, Steven D.; Zhao, Chang-An	1	2013
SIDH proof of knowledge. Zbl 1519.94100 De Feo, Luca; Dobson, Samuel; Galbraith, Steven D.; Zobernig, Lukas	7	2023
Proving knowledge of isogenies: a survey. Zbl 1526.94025 Beullens, Ward; De Feo, Luca; Galbraith, Steven D.; Petit, Christophe	1	2023
Topics in cryptology – CT-RSA 2022. Cryptographers’ track at the RSA conference 2022, virtual event, March 1–2, 2022. Proceedings. Zbl 1490.94003	1	2022
Compact, efficient and UC-secure isogeny-based oblivious transfer. Zbl 1479.94207 Lai, Yi-Fu; Galbraith, Steven D.; de Saint Guilhem, Cyprien Delpech	18	2021
Identification protocols and signature schemes based on supersingular isogeny problems. Zbl 1455.94155 Galbraith, Steven D.; Petit, Christophe; Silva, Javier	17	2020
Integral matrix Gram root and lattice Gaussian sampling without floats. Zbl 1492.94092 Ducas, Léo; Galbraith, Steven; Prest, Thomas; Yu, Yang	9	2020
ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Zbl 1452.11005	1	2020
SeaSign: compact isogeny signatures from class group actions. Zbl 1509.94155 De Feo, Luca; Galbraith, Steven D.	61	2019
Obfuscated fuzzy Hamming distance and conjunctions from subset product problems. Zbl 1455.94156 Galbraith, Steven D.; Zobernig, Lukas	6	2019
Improved combinatorial algorithms for the inhomogeneous short integer solution problem. Zbl 1435.11144 Bai, Shi; Galbraith, Steven D.; Li, Liangze; Sheffield, Daniel	5	2019
Safety in numbers: on the need for robust Diffie-Hellman parameter validation. Zbl 1509.94088 Galbraith, Steven; Massimo, Jake; Paterson, Kenneth G.	1	2019
Computational problems in supersingular elliptic curve isogenies. Zbl 1400.81083 Galbraith, Steven D.; Vercauteren, Frederik	18	2018
Finding significant Fourier coefficients: clarifications, simplifications, applications and limitations. Zbl 1472.94051 Galbraith, Steven D.; Laity, Joel; Shani, Barak	2	2018
Advances in cryptology – ASIACRYPT 2018. 24th international conference on the theory and application of cryptology and information security, Brisbane, QLD, Australia, December 2–6, 2018. Proceedings. Part I. Zbl 1402.94008	2	2018
Identification protocols and signature schemes based on supersingular isogeny problems. Zbl 1420.94065 Galbraith, Steven D.; Petit, Christophe; Silva, Javier	45	2017
Computing elliptic curve discrete logarithms with improved baby-step giant-step algorithm. Zbl 1431.11141 Galbraith, Steven; Wang, Ping; Zhang, Fangguo	4	2017
Secure and practical searchable encryption: a position paper. Zbl 1386.94069 Cui, Shujie; Asghar, Muhammad Rizwan; Galbraith, Steven D.; Russello, Giovanni	1	2017
On the security of supersingular isogeny cryptosystems. Zbl 1404.94073 Galbraith, Steven D.; Petit, Christophe; Shani, Barak; Ti, Yan Bo	69	2016
Computing isogenies between supersingular elliptic curves over \(\mathbb {F}_p\). Zbl 1361.11044 Delfs, Christina; Galbraith, Steven D.	47	2016
Recent progress on the elliptic curve discrete logarithm problem. Zbl 1364.11164 Galbraith, Steven D.; Gaudry, Pierrick	23	2016
Algorithms for the approximate common divisor problem. Zbl 1404.11142 Galbraith, Steven D.; Gebregiyorgis, Shishay W.; Murphy, Sean	12	2016
Preventing adaptive key recovery attacks on the GSW levelled homomorphic encryption scheme. Zbl 1381.94078 Li, Zengpeng; Galbraith, Steven D.; Ma, Chunguang	1	2016
Adaptive key recovery attacks on NTRU-based somewhat homomorphic encryption schemes. Zbl 1359.94586 Dahab, Ricardo; Galbraith, Steven; Morais, Eduardo	5	2015
The multivariate hidden number problem. Zbl 1359.94594 Galbraith, Steven D.; Shani, Barak	2	2015
An improved compression technique for signatures based on learning with errors. Zbl 1295.94011 Bai, Shi; Galbraith, Steven D.	54	2014
Lattice decoding attacks on binary LWE. Zbl 1337.94020 Bai, Shi; Galbraith, Steven D.	27	2014
Sampling from discrete Gaussians for lattice-based cryptography on a constrained device. Zbl 1372.94425 Dwarakanath, Nagarjun C.; Galbraith, Steven D.	18	2014
Summation polynomial algorithms for elliptic curves in characteristic two. Zbl 1337.94036 Galbraith, Steven D.; Gebregiyorgis, Shishay W.	9	2014
Constructing supersingular elliptic curves with a given endomorphism ring. Zbl 1326.11029 Chevyrev, Ilya; Galbraith, Steven D.	6	2014
Improved algorithm for the isogeny problem for ordinary elliptic curves. Zbl 1316.11113 Galbraith, Steven; Stolbunov, Anton	15	2013
Computing discrete logarithms in an interval. Zbl 1283.11164 Galbraith, Steven D.; Pollard, John M.; Ruprai, Raminder S.	11	2013
Self-pairings on hyperelliptic curves. Zbl 1273.14051 Galbraith, Steven D.; Zhao, Chang-An	1	2013
Mathematics of public key cryptography. Zbl 1238.94027 Galbraith, Steven D.	112	2012
A non-uniform birthday problem with applications to discrete logarithms. Zbl 1246.60015 Galbraith, Steven D.; Holmes, Mark	13	2012
Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1258.94036 Galbraith, Steven D.; Lin, Xibin; Scott, Michael	27	2011
Point compression for Koblitz elliptic curves. Zbl 1213.94099 Eagle, Philip N. J.; Galbraith, Steven D.; Ong, John B.	3	2011
Using equivalence classes to accelerate solving the discrete logarithm problem in a short interval. Zbl 1270.11124 Galbraith, Steven D.; Ruprai, Raminder S.	17	2010
Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1239.94048 Galbraith, Steven D.; Lin, Xibin; Scott, Michael	22	2009
An improvement to the Gaudry-Schost algorithm for multidimensional discrete logarithm problems. Zbl 1233.11128 Galbraith, Steven; Ruprai, Raminder S.	9	2009
Distortion maps for supersingular genus two curves. Zbl 1232.11075 Galbraith, Steven D.; Pujolàs, Jordi; Ritzenthaler, Christophe; Smith, Benjamin	7	2009
Computing pairings using \(x\)-coordinates only. Zbl 1222.14051 Galbraith, Steven D.; Lin, Xibin	4	2009
Pairings for cryptographers. Zbl 1156.94347 Galbraith, Steven D.; Paterson, Kenneth G.; Smart, Nigel P.	111	2008
Exponentiation in pairing-friendly groups using homomorphisms. Zbl 1186.94441 Galbraith, Steven D.; Scott, Michael	15	2008
Efficient hyperelliptic arithmetic using balanced representation for divisors. Zbl 1232.14017 Galbraith, Steven D.; Harrison, Michael; Mireles Morales, David J.	13	2008
Aspects of pairing inversion. Zbl 1189.14032 Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik	12	2008
An analysis of the vector decomposition problem. Zbl 1162.94359 Galbraith, Steven D.; Verheul, Eric R.	4	2008
Pairing-based cryptography – Pairing 2008. Second international conference, Egham, UK, September 1–3, 2008. Proceedings. Zbl 1155.94002	3	2008
Pairings on hyperelliptic curves with a real model. Zbl 1186.11074 Galbraith, Steven D.; Lin, Xibin; Mireles Morales, David J.	3	2008
The GPS identification scheme using Frobenius expansions. Zbl 1166.94303 Benits, Waldyr D. jun.; Galbraith, Steven D.	1	2008
Efficient pairing computation on supersingular abelian varieties. Zbl 1142.14307 Barreto, Paulo S. L. M.; Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Scott, Michael	61	2007
Ordinary Abelian varieties having small embedding degree. Zbl 1161.11017 Galbraith, S. D.; McKee, J. F.; Valença, P. C.	23	2007
Hyperelliptic pairings. Zbl 1151.11353 Galbraith, Steven D.; Hess, Florian; Vercauteren, Frederik	9	2007
Simplified pairing computation and security implications. Zbl 1145.11047 Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Sheedy, Caroline	3	2007
Cryptography and coding. 11th IMA international conference, Cirencester, UK, December 18–20, 2007. Proceedings. Zbl 1130.94004	1	2007
Hidden pairings and trapdoor DDH groups. Zbl 1143.94344 Dent, Alexander W.; Galbraith, Steven D.	10	2006
Advances in elliptic curve cryptography. Zbl 1089.94018	78	2005
Tunable balancing of RSA. Zbl 1127.94346 Galbraith, Steven D.; Heneghan, Chris; McKee, James F.	11	2005
Algebraic curves and cryptography. Zbl 1079.94014 Galbraith, Steven; Menezes, Alfred	3	2005
Pairings on elliptic curves over finite commutative rings. Zbl 1122.94036 Galbraith, Steven D.; McKee, James F.	3	2005
Easy decision Diffie-Hellman groups. Zbl 1116.14014 Galbraith, Steven D.; Rotger, Victor	16	2004
Secure bilinear Diffie-Hellman bits. Zbl 1098.94612 Galbraith, Steven D.; Hopkins, Herbie J.; Shparlinski, Igor E.	4	2004
Invisibility and anonymity of undeniable and confirmer signatures. Zbl 1039.94523 Galbraith, Steven D.; Mao, Wenbo	18	2003
Weil descent of Jacobians. Zbl 1101.14037 Galbraith, Steven D.	2	2003
Implementing the Tate pairing. Zbl 1058.11072 Galbraith, Steven D.; Harrison, Keith; Soldera, David	46	2002
Extending the GHS Weil descent attack. Zbl 1055.94013 Galbraith, Steven D.; Hess, Florian; Smart, Nigel P.	36	2002
Arithmetic on superelliptic curves. Zbl 1013.11026 Galbraith, S. D.; Paulus, S. M.; Smart, N. P.	21	2002
Public key signatures in the multi-user setting. Zbl 1043.94015 Galbraith, S.; Malone-Lee, J.; Smart, N. P.	19	2002
Rational points on \(X^ +_ 0(N)\) and quadratic \(\mathbb Q\)-curves. Zbl 1035.14008 Galbraith, Steven D.	10	2002
RSA-based undeniable signatures for general moduli. Zbl 1048.94511 Galbraith, Steven D.; Mao, Wenbo; Paterson, Kenneth G.	10	2002
Elliptic curve Paillier schemes. Zbl 0995.94027 Galbraith, Steven D.	8	2002
Supersingular curves in cryptography. Zbl 1064.11079 Galbraith, Steven D.	22	2001
Limitations of constructive Weil descent. Zbl 1016.11020 Galbraith, Steven D.	2	2001
The probability that the number of points on an elliptic curve over a finite field is prime. Zbl 1010.11033 Galbraith, Steven D.; McKee, James	8	2000
Constructing isogenies between elliptic curves over finite fields. Zbl 1018.11028 Galbraith, Steven D.	44	1999
A cryptographic application of Weil descent. Zbl 0981.94025 Galbraith, Steven D.; Smart, Nigel P.	12	1999
Rational points on \(X_0^+(p)\). Zbl 0960.14010 Galbraith, Steven D.	11	1999
Cryptanalysis of two cryptosystems based on group actions. Zbl 0977.94024 Blackburn, Simon R.; Galbraith, Steven	5	1999
Weaknesses in shared RSA key generation protocols. Zbl 0981.94022 Blackburn, Simon R.; Blake-Wilson, Simon; Burmester, Mike; Galbraith, Steven D.	1	1999

all cited Publications top 5 cited Publications

all top 5

Cited by 1,440 Authors

39	Galbraith, Steven D.
23	Petit, Christophe
16	De Feo, Luca
16	Takagi, Tsuyoshi
14	Jao, David
13	Costello, Craig
13	Menezes, Alfred J.
13	Yasuda, Masaya
12	Vercauteren, Frederik
11	Castryck, Wouter
11	Lauter, Kristin Estella
10	Rodríguez-Henríquez, Francisco
10	Susilo, Willy
9	Fouotsa, Tako Boris
9	Lange, Tanja
9	May, Alexander
9	Naehrig, Michael
9	Wesolowski, Benjamin
8	Abe, Masayuki
8	Kutas, Péter
8	Onuki, Hiroshi
8	Sanders, Olivier
8	Smart, Nigel Paul
8	Sutherland, Andrew V.
7	Albrecht, Martin R.
7	Azarderakhsh, Reza
7	Barreto, Paulo S. L. M.
7	Chatterjee, Sanjit
7	Cheon, Jung Hee
7	Ghadafi, Essam M.
7	Katsumata, Shuichi
7	Lee, Hyangsook
7	Longa, Patrick
7	Merz, Simon-Philipp
7	Ohkubo, Miyako
7	Panny, Lorenz
7	Pintore, Federico
7	Sarkar, Santanu
7	Takashima, Katsuyuki
7	Tibouchi, Mehdi
7	Trimoska, Monika
7	Zhang, Fangguo
6	Aranha, Diego F.
6	Basso, Andrea
6	Beullens, Ward
6	Decru, Thomas
6	El Mrabet, Nadia
6	Kudo, Momonari
6	Moriya, Tomoki
6	Shparlinski, Igor E.
6	Smith, Benjamin Andrew
6	Xu, Maozhi
6	Zhao, Changan
5	De Saint Guilhem, Cyprien Delpech
5	Espitau, Thomas
5	Genise, Nicholas
5	Hisil, Huseyin
5	Karabina, Koray
5	Krämer, Juliane
5	Lai, Yi-Fu
5	Lee, Eunjeong
5	Leroux, Antonin
5	Li, Bao
5	Micciancio, Daniele
5	Patranabis, Sikhar
5	Pedersen, Robi
5	Renes, Joost
5	Rossi, Mélissa
5	Silva, Javier
5	Sotáková, Jana
5	Takayasu, Atsushi
5	Virdia, Fernando
5	Wunderer, Thomas
5	Yokoyama, Kazuhiro
5	Yu, Yang
4	Adj, Gora
4	Bernstein, Daniel Julius
4	Bhattacharya, Bhaswar B.
4	Biasse, Jean-François
4	Bisson, Gaetan
4	Boneh, Dan
4	Canetti, Ran
4	Castagnos, Guilhem
4	Chi-Domínguez, Jesús-Javier
4	Cozzo, Daniele
4	Duquesne, Sylvain
4	El Aimani, Laila
4	Emura, Keita
4	Esser, Andre
4	Fouque, Pierre-Alain
4	Gaudry, Pierrick
4	Göpfert, Florian
4	Groth, Jens
4	Gu, Dawu
4	Guillevic, Aurore
4	Hess, Florian
4	Hu, Lei
4	Hu, Zhi
4	Janson, Christian
4	Joye, Marc
...and 1,340 more Authors

all top 5

Cited in 118 Serials

53	Designs, Codes and Cryptography
38	Journal of Cryptology
31	Finite Fields and their Applications
27	Journal of Mathematical Cryptology
17	Theoretical Computer Science
16	Information Sciences
15	Applicable Algebra in Engineering, Communication and Computing
14	Mathematics of Computation
13	Journal of Number Theory
10	Discrete Applied Mathematics
10	Information Processing Letters
10	Advances in Mathematics of Communications
8	LMS Journal of Computation and Mathematics
7	Research in Number Theory
6	Journal of Symbolic Computation
6	International Journal of Number Theory
5	Applied Mathematics and Computation
5	International Journal of Computer Mathematics
5	Cryptography and Communications
5	JSIAM Letters
5	Prikladnaya Diskretnaya Matematika
4	Journal of Mathematical Sciences (New York)
4	Mathematical Problems in Engineering
4	Journal of Discrete Mathematical Sciences & Cryptography
4	Matematicheskie Voprosy Kriptografii
3	Acta Applicandae Mathematicae
3	Random Structures & Algorithms
3	Japan Journal of Industrial and Applied Mathematics
2	Computers & Mathematics with Applications
2	Israel Journal of Mathematics
2	Acta Arithmetica
2	Transactions of the American Mathematical Society
2	Journal of Computer Science and Technology
2	Algorithmica
2	Mathematical and Computer Modelling
2	SIAM Journal on Discrete Mathematics
2	Journal of Parallel and Distributed Computing
2	Journal de Théorie des Nombres de Bordeaux
2	The Ramanujan Journal
2	Foundations of Computational Mathematics
2	Journal of Systems Science and Complexity
2	Journal of Algebra and its Applications
2	Science in China. Series F
2	Mathematics in Computer Science
2	Groups, Complexity, Cryptology
2	Science China. Information Sciences
2	Symmetry
2	Malaysian Journal of Mathematical Sciences
2	European Journal of Mathematics
2	La Matematica
1	American Mathematical Monthly
1	Bulletin of the Australian Mathematical Society
1	Computer Physics Communications
1	Electronics Letters
1	International Journal of Theoretical Physics
1	Journal of Computational Physics
1	Journal of Mathematical Physics
1	Lithuanian Mathematical Journal
1	Mathematische Semesterberichte
1	ACM Transactions on Mathematical Software
1	Annales de l’Institut Fourier
1	Compositio Mathematica
1	Geometriae Dedicata
1	Hiroshima Mathematical Journal
1	Hokkaido Mathematical Journal
1	Journal of Computational and Applied Mathematics
1	Journal of Computer and System Sciences
1	Mathematische Annalen
1	Mathematics and Computers in Simulation
1	Mathematische Zeitschrift
1	Proceedings of the American Mathematical Society
1	Semigroup Forum
1	Studies in Applied Mathematics
1	European Journal of Combinatorics
1	Bulletin of the Iranian Mathematical Society
1	Computer Aided Geometric Design
1	Journal of Complexity
1	Discrete & Computational Geometry
1	Revista Matemática Iberoamericana
1	Information and Computation
1	Facta Universitatis. Series Mathematics and Informatics
1	Computational Statistics
1	Linear Algebra and its Applications
1	Expositiones Mathematicae
1	Mathematical Programming. Series A. Series B
1	Indagationes Mathematicae. New Series
1	Journal of Nonlinear Science
1	Experimental Mathematics
1	Journal of Algebraic Combinatorics
1	Tatra Mountains Mathematical Publications
1	Monte Carlo Methods and Applications
1	Complexity
1	Journal of Mathematical Chemistry
1	Theory of Computing Systems
1	Chicago Journal of Theoretical Computer Science
1	Annals of Mathematics. Second Series
1	Interdisciplinary Information Sciences (IIS)
1	Fundamenta Informaticae
1	Lobachevskii Journal of Mathematics
1	Journal of Applied Mathematics
...and 18 more Serials

all top 5

Cited in 33 Fields

720	Information and communication theory, circuits (94-XX)
323	Number theory (11-XX)
292	Algebraic geometry (14-XX)
141	Computer science (68-XX)
126	Quantum theory (81-XX)
16	Combinatorics (05-XX)
12	Numerical analysis (65-XX)
10	Probability theory and stochastic processes (60-XX)
7	Commutative algebra (13-XX)
6	Group theory and generalizations (20-XX)
6	Convex and discrete geometry (52-XX)
5	Statistics (62-XX)
4	Field theory and polynomials (12-XX)
4	Linear and multilinear algebra; matrix theory (15-XX)
3	Associative rings and algebras (16-XX)
3	Operations research, mathematical programming (90-XX)
2	Order, lattices, ordered algebraic structures (06-XX)
2	Dynamical systems and ergodic theory (37-XX)
2	Difference and functional equations (39-XX)
2	Sequences, series, summability (40-XX)
2	Statistical mechanics, structure of matter (82-XX)
2	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1	History and biography (01-XX)
1	Mathematical logic and foundations (03-XX)
1	Measure and integration (28-XX)
1	Special functions (33-XX)
1	Ordinary differential equations (34-XX)
1	Partial differential equations (35-XX)
1	Geometry (51-XX)
1	Mechanics of particles and systems (70-XX)
1	Fluid mechanics (76-XX)
1	Biology and other natural sciences (92-XX)
1	Systems theory; control (93-XX)

Galbraith, Steven D.

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Citations contained in zbMATH Open

Cited by 1,440 Authors

Cited in 118 Serials

Cited in 33 Fields

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