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Steven D. Galbraith
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- affiliation: University of Auckland, Department of Mathematics, New Zealand
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2020 – today
- 2024
- [c49]Steven D. Galbraith
, Yi-Fu Lai
, Hart Montgomery
:
A Simpler and More Efficient Reduction of DLog to CDH for Abelian Group Actions. Public Key Cryptography (3) 2024: 36-60 - [i72]Steven D. Galbraith, Yi-Fu Lai, Hart Montgomery:
A Simpler and More Efficient Reduction of DLog to CDH for Abelian Group Actions. IACR Cryptol. ePrint Arch. 2024: 191 (2024) - [i71]Steven D. Galbraith:
Climbing and descending tall volcanos. IACR Cryptol. ePrint Arch. 2024: 924 (2024) - 2023
- [j41]Steven D. Galbraith, Rosario Gennaro, Carla Ràfols, Ron Steinfeld:
Guest editorial: Special issue on Mathematics of Zero-Knowledge. Des. Codes Cryptogr. 91(11): 3331-3332 (2023) - [j40]Ward Beullens, Luca De Feo, Steven D. Galbraith
, Christophe Petit
:
Proving knowledge of isogenies: a survey. Des. Codes Cryptogr. 91(11): 3425-3456 (2023) - [c48]Shalini Banerjee
, Steven D. Galbraith
, Tariq Khan
, John Henry Castellanos
, Giovanni Russello
:
Preventing Reverse Engineering of Control Programs in Industrial Control Systems. CPSS@AsiaCCS 2023: 48-59 - [c47]Shalini Banerjee
, Steven D. Galbraith
, Giovanni Russello
:
Obfuscating Evasive Decision Trees. INDOCRYPT (2) 2023: 84-104 - [i70]Shalini Banerjee, Steven D. Galbraith, Giovanni Russello:
Obfuscating Decision Trees. IACR Cryptol. ePrint Arch. 2023: 68 (2023) - [i69]Ward Beullens, Luca De Feo, Steven D. Galbraith, Christophe Petit:
Proving knowledge of isogenies - A survey. IACR Cryptol. ePrint Arch. 2023: 671 (2023) - [i68]Shalini Banerjee, Steven D. Galbraith:
Auditable Obfuscation. IACR Cryptol. ePrint Arch. 2023: 1476 (2023) - [i67]Steven D. Galbraith, Derek Perrin, José Felipe Voloch:
CSIDH with Level Structure. IACR Cryptol. ePrint Arch. 2023: 1726 (2023) - 2022
- [c46]Luca De Feo
, Samuel Dobson
, Steven D. Galbraith
, Lukas Zobernig
:
SIDH Proof of Knowledge. ASIACRYPT (2) 2022: 310-339 - [c45]Steven D. Galbraith
, Yi-Fu Lai
:
Attack on SHealS and HealS: The Second Wave of GPST. PQCrypto 2022: 399-421 - [c44]Samuel Dobson
, Steven D. Galbraith
:
Post-Quantum Signal Key Agreement from SIDH. PQCrypto 2022: 422-450 - [e11]Steven D. Galbraith
:
Topics in Cryptology - CT-RSA 2022 - Cryptographers' Track at the RSA Conference 2022, Virtual Event, March 1-2, 2022, Proceedings. Lecture Notes in Computer Science 13161, Springer 2022, ISBN 978-3-030-95311-9 [contents] - [i66]Jeremy Booher
, Ross Bowden, Javad Doliskani, Tako Boris Fouotsa
, Steven D. Galbraith, Sabrina Kunzweiler, Simon-Philipp Merz, Christophe Petit, Benjamin Smith, Katherine E. Stange, Yan Bo Ti, Christelle Vincent, José Felipe Voloch, Charlotte Weitkämper, Lukas Zobernig:
Failing to hash into supersingular isogeny graphs. CoRR abs/2205.00135 (2022) - [i65]Samuel Dobson, Steven D. Galbraith, Benjamin Smith:
Trustless unknown-order groups. CoRR abs/2211.16128 (2022) - [i64]Steven D. Galbraith, Yi-Fu Lai:
Attack on SHealS and HealS: the Second Wave of GPST. IACR Cryptol. ePrint Arch. 2022: 443 (2022) - [i63]Jeremy Booher, Ross Bowden, Javad Doliskani, Tako Boris Fouotsa, Steven D. Galbraith, Sabrina Kunzweiler, Simon-Philipp Merz, Christophe Petit, Benjamin Smith, Katherine E. Stange, Yan Bo Ti, Christelle Vincent, José Felipe Voloch, Charlotte Weitkämper, Lukas Zobernig:
Failing to hash into supersingular isogeny graphs. IACR Cryptol. ePrint Arch. 2022: 518 (2022) - [i62]Steven D. Galbraith, Trey Li:
Obfuscation of Evasive Algebraic Set Membership. IACR Cryptol. ePrint Arch. 2022: 1516 (2022) - 2021
- [j39]Samuel Dobson
, Steven D. Galbraith
, Jason T. LeGrow, Yan Bo Ti, Lukas Zobernig
:
An adaptive attack on 2-SIDH. Int. J. Comput. Math. Comput. Syst. Theory 6(4): 387-404 (2021) - [j38]Shujie Cui
, Xiangfu Song, Muhammad Rizwan Asghar
, Steven D. Galbraith, Giovanni Russello:
Privacy-preserving Dynamic Symmetric Searchable Encryption with Controllable Leakage. ACM Trans. Priv. Secur. 24(3): 18:1-18:35 (2021) - [c43]Steven D. Galbraith, Trey Li:
Small Superset and Big Subset Obfuscation. ACISP 2021: 68-87 - [c42]Yi-Fu Lai, Steven D. Galbraith, Cyprien Delpech de Saint Guilhem
:
Compact, Efficient and UC-Secure Isogeny-Based Oblivious Transfer. EUROCRYPT (1) 2021: 213-241 - [i61]Luca De Feo, Samuel Dobson, Steven D. Galbraith, Lukas Zobernig:
SIDH Proof of Knowledge. IACR Cryptol. ePrint Arch. 2021: 1023 (2021) - [i60]Samuel Dobson, Steven D. Galbraith:
Post-Quantum Signal Key Agreement with SIDH. IACR Cryptol. ePrint Arch. 2021: 1187 (2021) - 2020
- [j37]Raphael C.-W. Phan, Masayuki Abe, Lynn Batten, Jung Hee Cheon, Ed Dawson, Steven D. Galbraith
, Jian Guo, Lucas C. K. Hui, Kwangjo Kim, Xuejia Lai, Dong Hoon Lee, Mitsuru Matsui, Tsutomu Matsumoto, Shiho Moriai, Phong Q. Nguyen, Dingyi Pei, Duong Hieu Phan
, Josef Pieprzyk
, Huaxiong Wang, Hank Wolfe, Duncan S. Wong, Tzong-Chen Wu, Bo-Yin Yang, Siu-Ming Yiu, Yu Yu, Jianying Zhou
:
Advances in security research in the Asiacrypt region. Commun. ACM 63(4): 76-81 (2020) - [j36]Samuel Dobson
, Steven D. Galbraith
, Jason T. LeGrow
, Yan Bo Ti
, Lukas Zobernig
:
An adaptive attack on 2-SIDH. Int. J. Comput. Math. Comput. Syst. Theory 5(4): 282-299 (2020) - [j35]Steven D. Galbraith
, Christophe Petit
, Javier Silva:
Identification Protocols and Signature Schemes Based on Supersingular Isogeny Problems. J. Cryptol. 33(1): 130-175 (2020) - [c41]Léo Ducas, Steven D. Galbraith
, Thomas Prest
, Yang Yu
:
Integral Matrix Gram Root and Lattice Gaussian Sampling Without Floats. EUROCRYPT (2) 2020: 608-637 - [c40]Steven D. Galbraith
, Lukas Zobernig
:
Obfuscating Finite Automata. SAC 2020: 90-114 - [c39]Steven D. Galbraith, Robert Granger, Simon-Philipp Merz
, Christophe Petit
:
On Index Calculus Algorithms for Subfield Curves. SAC 2020: 115-138 - [c38]Muhammad Rizwan Asghar
, Steven D. Galbraith, Andrea Lanzi, Giovanni Russello, Lukas Zobernig:
Towards a Theory of Special-Purpose Program Obfuscation. TrustCom 2020: 394-401 - [i59]Muhammad Rizwan Asghar, Steven D. Galbraith, Andrea Lanzi, Giovanni Russello, Lukas Zobernig:
Towards a Theory of Special-purpose Program Obfuscation. CoRR abs/2011.02607 (2020) - [i58]Samuel Dobson, Steven D. Galbraith:
Trustless Groups of Unknown Order with Hyperelliptic Curves. IACR Cryptol. ePrint Arch. 2020: 196 (2020) - [i57]Steven D. Galbraith, Lukas Zobernig:
Obfuscating Finite Automata. IACR Cryptol. ePrint Arch. 2020: 1009 (2020) - [i56]Yi-Fu Lai, Steven D. Galbraith, Cyprien Delpech de Saint Guilhem:
Compact, Efficient and UC-Secure Isogeny-Based Oblivious Transfer. IACR Cryptol. ePrint Arch. 2020: 1012 (2020) - [i55]Steven D. Galbraith, Trey Li:
Big Subset and Small Superset Obfuscation. IACR Cryptol. ePrint Arch. 2020: 1018 (2020) - [i54]Steven D. Galbraith, Robert Granger, Simon-Philipp Merz, Christophe Petit:
On Index Calculus Algorithms for Subfield Curves. IACR Cryptol. ePrint Arch. 2020: 1315 (2020)
2010 – 2019
- 2019
- [j34]Shi Bai, Steven D. Galbraith
, Liangze Li, Daniel Sheffield:
Improved Combinatorial Algorithms for the Inhomogeneous Short Integer Solution Problem. J. Cryptol. 32(1): 35-83 (2019) - [c37]Luca De Feo
, Steven D. Galbraith
:
SeaSign: Compact Isogeny Signatures from Class Group Actions. EUROCRYPT (3) 2019: 759-789 - [c36]Steven D. Galbraith
, Jake Massimo, Kenneth G. Paterson:
Safety in Numbers: On the Need for Robust Diffie-Hellman Parameter Validation. Public Key Cryptography (2) 2019: 379-407 - [c35]Steven D. Galbraith
, Lukas Zobernig
:
Obfuscated Fuzzy Hamming Distance and Conjunctions from Subset Product Problems. TCC (1) 2019: 81-110 - [c34]Lukas Zobernig, Steven D. Galbraith
, Giovanni Russello:
When are Opaque Predicates Useful? TrustCom/BigDataSE 2019: 168-175 - [e10]Steven D. Galbraith, Shiho Moriai:
Advances in Cryptology - ASIACRYPT 2019 - 25th International Conference on the Theory and Application of Cryptology and Information Security, Kobe, Japan, December 8-12, 2019, Proceedings, Part I. Lecture Notes in Computer Science 11921, Springer 2019, ISBN 978-3-030-34577-8 [contents] - [e9]Steven D. Galbraith, Shiho Moriai:
Advances in Cryptology - ASIACRYPT 2019 - 25th International Conference on the Theory and Application of Cryptology and Information Security, Kobe, Japan, December 8-12, 2019, Proceedings, Part II. Lecture Notes in Computer Science 11922, Springer 2019, ISBN 978-3-030-34620-1 [contents] - [e8]Steven D. Galbraith, Shiho Moriai:
Advances in Cryptology - ASIACRYPT 2019 - 25th International Conference on the Theory and Application of Cryptology and Information Security, Kobe, Japan, December 8-12, 2019, Proceedings, Part III. Lecture Notes in Computer Science 11923, Springer 2019, ISBN 978-3-030-34617-1 [contents] - [e7]Steven D. Galbraith, Giovanni Russello, Willy Susilo, Dieter Gollmann, Engin Kirda, Zhenkai Liang:
Proceedings of the 2019 ACM Asia Conference on Computer and Communications Security, AsiaCCS 2019, Auckland, New Zealand, July 09-12, 2019. ACM 2019, ISBN 978-1-4503-6752-3 [contents] - [i53]Shujie Cui, Xiangfu Song, Muhammad Rizwan Asghar, Steven D. Galbraith, Giovanni Russello:
Privacy-preserving Searchable Databases with Controllable Leakage. CoRR abs/1909.11624 (2019) - [i52]Steven D. Galbraith, Jake Massimo, Kenneth G. Paterson:
Safety in Numbers: On the Need for Robust Diffie-Hellman Parameter Validation. IACR Cryptol. ePrint Arch. 2019: 32 (2019) - [i51]Léo Ducas, Steven D. Galbraith, Thomas Prest, Yang Yu:
Integral Matrix Gram Root and Lattice Gaussian Sampling without Floats. IACR Cryptol. ePrint Arch. 2019: 320 (2019) - [i50]Steven D. Galbraith, Lukas Zobernig:
Obfuscated Fuzzy Hamming Distance and Conjunctions from Subset Product Problems. IACR Cryptol. ePrint Arch. 2019: 620 (2019) - [i49]Samuel Dobson, Steven D. Galbraith, Jason T. LeGrow, Yan Bo Ti, Lukas Zobernig:
Extending the Adaptive Attack to 2-SIDH. IACR Cryptol. ePrint Arch. 2019: 890 (2019) - [i48]Samuel Dobson, Steven D. Galbraith:
On the Degree-Insensitive SI-GDH problem and assumption. IACR Cryptol. ePrint Arch. 2019: 929 (2019) - 2018
- [j33]Steven D. Galbraith, Joel Laity, Barak Shani:
Finding Significant Fourier Coefficients: Clarifications, Simplifications, Applications and Limitations. Chic. J. Theor. Comput. Sci. 2018 (2018) - [j32]Steven D. Galbraith
, Frederik Vercauteren
:
Computational problems in supersingular elliptic curve isogenies. Quantum Inf. Process. 17(10): 265 (2018) - [e6]Thomas Peyrin, Steven D. Galbraith:
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. Lecture Notes in Computer Science 11272, Springer 2018, ISBN 978-3-030-03325-5 [contents] - [e5]Thomas Peyrin, Steven D. Galbraith:
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 II. Lecture Notes in Computer Science 11273, Springer 2018, ISBN 978-3-030-03328-6 [contents] - [e4]Thomas Peyrin, Steven D. Galbraith:
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 III. Lecture Notes in Computer Science 11274, Springer 2018, ISBN 978-3-030-03331-6 [contents] - [i47]Steven D. Galbraith, Lorenz Panny, Benjamin Smith
, Frederik Vercauteren:
Quantum Equivalence of the DLP and CDHP for Group Actions. CoRR abs/1812.09116 (2018) - [i46]Steven D. Galbraith:
Authenticated key exchange for SIDH. IACR Cryptol. ePrint Arch. 2018: 266 (2018) - [i45]Luca De Feo, Steven D. Galbraith:
SeaSign: Compact isogeny signatures from class group actions. IACR Cryptol. ePrint Arch. 2018: 824 (2018) - [i44]Steven D. Galbraith, Lorenz Panny, Benjamin Smith, Frederik Vercauteren:
Quantum Equivalence of the DLP and CDHP for Group Actions. IACR Cryptol. ePrint Arch. 2018: 1199 (2018) - 2017
- [j31]Steven D. Galbraith
, Ping Wang
, Fangguo Zhang
:
Computing elliptic curve discrete logarithms with improved baby-step giant-step algorithm. Adv. Math. Commun. 11(3): 453-469 (2017) - [c33]Shujie Cui, Muhammad Rizwan Asghar
, Steven D. Galbraith
, Giovanni Russello:
P-McDb: Privacy-Preserving Search Using Multi-Cloud Encrypted Databases. CLOUD 2017: 334-341 - [c32]Shujie Cui, Muhammad Rizwan Asghar
, Steven D. Galbraith
, Giovanni Russello:
Secure and Practical Searchable Encryption: A Position Paper. ACISP (1) 2017: 266-281 - [c31]Steven D. Galbraith
, Christophe Petit
, Javier Silva:
Identification Protocols and Signature Schemes Based on Supersingular Isogeny Problems. ASIACRYPT (1) 2017: 3-33 - [c30]Shujie Cui, Muhammad Rizwan Asghar
, Steven D. Galbraith
, Giovanni Russello:
ObliviousDB: Practical and Efficient Searchable Encryption with Controllable Leakage. FPS 2017: 189-205 - [i43]Steven D. Galbraith, Frederik Vercauteren:
Computational problems in supersingular elliptic curve isogenies. IACR Cryptol. ePrint Arch. 2017: 774 (2017) - [i42]Lukas Zobernig, Steven D. Galbraith, Giovanni Russello:
Indistinguishable Predicates: A New Tool for Obfuscation. IACR Cryptol. ePrint Arch. 2017: 787 (2017) - 2016
- [j30]Steven D. Galbraith
, Pierrick Gaudry:
Recent progress on the elliptic curve discrete logarithm problem. Des. Codes Cryptogr. 78(1): 51-72 (2016) - [j29]Christina Delfs, Steven D. Galbraith
:
Computing isogenies between supersingular elliptic curves over 𝔽p. Des. Codes Cryptogr. 78(2): 425-440 (2016) - [j28]Steven D. Galbraith
, Shishay W. Gebregiyorgis, Sean Murphy:
Algorithms for the approximate common divisor problem. LMS J. Comput. Math. 19(A): 58-72 (2016) - [c29]Steven D. Galbraith
, Christophe Petit
, Barak Shani, Yan Bo Ti
:
On the Security of Supersingular Isogeny Cryptosystems. ASIACRYPT (1) 2016: 63-91 - [c28]Zengpeng Li
, Steven D. Galbraith
, Chunguang Ma:
Preventing Adaptive Key Recovery Attacks on the GSW Levelled Homomorphic Encryption Scheme. ProvSec 2016: 373-383 - [i41]Steven D. Galbraith, Joel Laity, Barak Shani:
Finding Significant Fourier Coefficients: Clarifications, Simplifications, Applications and Limitations. CoRR abs/1607.01842 (2016) - [i40]Steven D. Galbraith, Shishay W. Gebregiyorgis, Sean Murphy:
Algorithms for the Approximate Common Divisor Problem. IACR Cryptol. ePrint Arch. 2016: 215 (2016) - [i39]Steven D. Galbraith, Joel Laity, Barak Shani:
Finding Significant Fourier Coefficients: Clarifications, Simplifications, Applications and Limitations. IACR Cryptol. ePrint Arch. 2016: 682 (2016) - [i38]Steven D. Galbraith, Christophe Petit, Barak Shani, Yan Bo Ti:
On the Security of Supersingular Isogeny Cryptosystems. IACR Cryptol. ePrint Arch. 2016: 859 (2016) - [i37]Zengpeng Li, Steven D. Galbraith, Chunguang Ma:
Preventing Adaptive Key Recovery Attacks on the Gentry-Sahai-Waters Leveled Homomorphic Encryption Scheme. IACR Cryptol. ePrint Arch. 2016: 1146 (2016) - [i36]Steven D. Galbraith, Christophe Petit, Javier Silva:
Signature Schemes Based On Supersingular Isogeny Problems. IACR Cryptol. ePrint Arch. 2016: 1154 (2016) - 2015
- [c27]Steven D. Galbraith
, Barak Shani:
The Multivariate Hidden Number Problem. ICITS 2015: 250-268 - [c26]Ricardo Dahab
, Steven D. Galbraith
, Eduardo Morais:
Adaptive Key Recovery Attacks on NTRU-Based Somewhat Homomorphic Encryption Schemes. ICITS 2015: 283-296 - [i35]Alex Fowler, Steven D. Galbraith:
Kangaroo Methods for Solving the Interval Discrete Logarithm Problem. CoRR abs/1501.07019 (2015) - [i34]Steven D. Galbraith, Barak Shani:
The Multivariate Hidden Number Problem. IACR Cryptol. ePrint Arch. 2015: 111 (2015) - [i33]Ricardo Dahab, Steven D. Galbraith, Eduardo Morais:
Adaptive key recovery attacks on NTRU-based somewhat homomorphic encryption schemes. IACR Cryptol. ePrint Arch. 2015: 127 (2015) - [i32]Steven D. Galbraith, Ping Wang, Fangguo Zhang:
Computing Elliptic Curve Discrete Logarithms with Improved Baby-step Giant-step Algorithm. IACR Cryptol. ePrint Arch. 2015: 605 (2015) - [i31]Steven D. Galbraith, Pierrick Gaudry:
Recent progress on the elliptic curve discrete logarithm problem. IACR Cryptol. ePrint Arch. 2015: 1022 (2015) - 2014
- [j27]Nagarjun C. Dwarakanath, Steven D. Galbraith
:
Sampling from discrete Gaussians for lattice-based cryptography on a constrained device. Appl. Algebra Eng. Commun. Comput. 25(3): 159-180 (2014) - [j26]Steven D. Galbraith
, Chang-An Zhao
:
Erratum Self-pairings on hyperelliptic curves [J. Math. Cryptol. 7(2013), 31-42]. J. Math. Cryptol. 8(1): 93 (2014) - [j25]Ilya Chevyrev
, Steven D. Galbraith
:
Constructing supersingular elliptic curves with a given endomorphism ring. LMS J. Comput. Math. 17(Theory): 71-91 (2014) - [c25]Shi Bai, Steven D. Galbraith
:
Lattice Decoding Attacks on Binary LWE. ACISP 2014: 322-337 - [c24]Shi Bai, Steven D. Galbraith
:
An Improved Compression Technique for Signatures Based on Learning with Errors. CT-RSA 2014: 28-47 - [c23]Steven D. Galbraith
, Shishay W. Gebregiyorgis:
Summation Polynomial Algorithms for Elliptic Curves in Characteristic Two. INDOCRYPT 2014: 409-427 - [i30]Shi Bai, Steven D. Galbraith, Liangze Li, Daniel Sheffield:
Improved Exponential-time Algorithms for Inhomogeneous-SIS. IACR Cryptol. ePrint Arch. 2014: 593 (2014) - [i29]Steven D. Galbraith, Shishay W. Gebregiyorgis:
Summation polynomial algorithms for elliptic curves in characteristic two. IACR Cryptol. ePrint Arch. 2014: 806 (2014) - 2013
- [j24]Steven D. Galbraith
, Anton Stolbunov:
Improved algorithm for the isogeny problem for ordinary elliptic curves. Appl. Algebra Eng. Commun. Comput. 24(2): 107-131 (2013) - [j23]Steven D. Galbraith
, Chang-An Zhao
:
Self-pairings on hyperelliptic curves. J. Math. Cryptol. 7(1): 31-42 (2013) - [j22]Steven D. Galbraith
, John M. Pollard, Raminder S. Ruprai:
Computing discrete logarithms in an interval. Math. Comput. 82(282): 1181-1195 (2013) - [i28]Shi Bai, Steven D. Galbraith:
An improved compression technique for signatures based on learning with errors. IACR Cryptol. ePrint Arch. 2013: 838 (2013) - [i27]Shi Bai, Steven D. Galbraith:
Lattice Decoding Attacks on Binary LWE. IACR Cryptol. ePrint Arch. 2013: 839 (2013) - 2012
- [b1]Steven D. Galbraith:
Mathematics of Public Key Cryptography. Cambridge University Press 2012, ISBN 9781107013926 - [j21]Steven D. Galbraith
, Mark Holmes:
A non-uniform birthday problem with applications to discrete logarithms. Discret. Appl. Math. 160(10-11): 1547-1560 (2012) - [e3]Steven D. Galbraith, Mridul Nandi:
Progress in Cryptology - INDOCRYPT 2012, 13th International Conference on Cryptology in India, Kolkata, India, December 9-12, 2012. Proceedings. Lecture Notes in Computer Science 7668, Springer 2012, ISBN 978-3-642-34930-0 [contents] - [i26]Steven D. Galbraith, Chang-An Zhao:
Self-pairings on Hyperelliptic Curves. IACR Cryptol. ePrint Arch. 2012: 267 (2012) - 2011
- [j20]Philip N. J. Eagle, Steven D. Galbraith
, John Ong:
Point compression for Koblitz elliptic curves. Adv. Math. Commun. 5(1): 1-10 (2011) - [j19]Roberto Avanzi, Waldyr D. Benits Junior, Steven D. Galbraith
, James F. McKee:
On the distribution of the coefficients of normal forms for Frobenius expansions. Des. Codes Cryptogr. 61(1): 71-89 (2011) - [j18]Steven D. Galbraith
, Xibin Lin, Michael Scott:
Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves. J. Cryptol. 24(3): 446-469 (2011) - [i25]Steven D. Galbraith, Anton Stolbunov:
Improved Algorithm for the Isogeny Problem for Ordinary Elliptic Curves. CoRR abs/1105.6331 (2011) - 2010
- [c22]Steven D. Galbraith
, Raminder S. Ruprai:
Using Equivalence Classes to Accelerate Solving the Discrete Logarithm Problem in a Short Interval. Public Key Cryptography 2010: 368-383 - [i24]Steven D. Galbraith, Raminder S. Ruprai:
Using Equivalence Classes to Accelerate Solving the Discrete Logarithm Problem in a Short Interval. IACR Cryptol. ePrint Arch. 2010: 615 (2010) - [i23]Steven D. Galbraith, Mark Holmes:
A non-uniform birthday problem with applications to discrete logarithms. IACR Cryptol. ePrint Arch. 2010: 616 (2010) - [i22]Steven D. Galbraith, John M. Pollard, Raminder S. Ruprai:
Computing Discrete Logarithms in an Interval. IACR Cryptol. ePrint Arch. 2010: 617 (2010)
2000 – 2009
- 2009
- [j17]Steven D. Galbraith
, Xibin Lin:
Computing pairings using x -coordinates only. Des. Codes Cryptogr. 50(3): 305-324 (2009) - [j16]Steven D. Galbraith
, Jordi Pujolàs
, Christophe Ritzenthaler, Benjamin A. Smith
:
Distortion maps for supersingular genus two curves. J. Math. Cryptol. 3(1): 1-18 (2009) - [c21]Steven D. Galbraith
, Xibin Lin, Michael Scott:
Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves. EUROCRYPT 2009: 518-535 - [c20]Steven D. Galbraith
, Raminder S. Ruprai:
An Improvement to the Gaudry-Schost Algorithm for Multidimensional Discrete Logarithm Problems. IMACC 2009: 368-382 - [i21]Philip N. J. Eagle, Steven D. Galbraith, John Ong:
Point Compression for Koblitz Elliptic Curves. IACR Cryptol. ePrint Arch. 2009: 86 (2009) - 2008
- [j15]Steven D. Galbraith, Raminder S. Ruprai:
Computing L-polynomials of non-hyperelliptic genus 4 and 5 curves (abstract only). ACM Commun. Comput. Algebra 42(1-2): 56-57 (2008) - [j14]Steven D. Galbraith
, Kenneth G. Paterson, Nigel P. Smart:
Pairings for cryptographers. Discret. Appl. Math. 156(16): 3113-3121 (2008) - [j13]Steven D. Galbraith
, Florian Hess, Frederik Vercauteren
:
Aspects of Pairing Inversion. IEEE Trans. Inf. Theory 54(12): 5719-5728 (2008) - [c19]Steven D. Galbraith
, Michael Harrison, David J. Mireles Morales:
Efficient Hyperelliptic Arithmetic Using Balanced Representation for Divisors. ANTS 2008: 342-356 - [c18]Steven D. Galbraith
, Michael Scott:
Exponentiation in Pairing-Friendly Groups Using Homomorphisms. Pairing 2008: 211-224 - [c17]Steven D. Galbraith
, Xibin Lin, David J. Mireles Morales:
Pairings on Hyperelliptic Curves with a Real Model. Pairing 2008: 265-281 - [c16]Steven D. Galbraith
, Eric R. Verheul:
An Analysis of the Vector Decomposition Problem. Public Key Cryptography 2008: 308-327 - [e2]Steven D. Galbraith, Kenneth G. Paterson:
Pairing-Based Cryptography - Pairing 2008, Second International Conference, Egham, UK, September 1-3, 2008. Proceedings. Lecture Notes in Computer Science 5209, Springer 2008, ISBN 978-3-540-85503-3 [contents] - [i20]Steven D. Galbraith, Xibin Lin:
Computing Pairings Using x-Coordinates Only. IACR Cryptol. ePrint Arch. 2008: 19 (2008) - [i19]Steven D. Galbraith, Michael Scott:
Exponentiation in pairing-friendly groups using homomorphisms. IACR Cryptol. ePrint Arch. 2008: 117 (2008) - [i18]Steven D. Galbraith, Xibin Lin, Michael Scott:
Endomorphisms for faster elliptic curve cryptography on a large class of curves. IACR Cryptol. ePrint Arch. 2008: 194 (2008) - [i17]Wouter Castryck, Steven D. Galbraith, Reza Rezaeian Farashahi:
Efficient arithmetic on elliptic curves using a mixed Edwards-Montgomery representation. IACR Cryptol. ePrint Arch. 2008: 218 (2008) - [i16]Steven D. Galbraith, Xibin Lin, David J. Mireles Morales:
Pairings on hyperelliptic curves with a real model. IACR Cryptol. ePrint Arch. 2008: 250 (2008) - [i15]Steven D. Galbraith, Michael Harrison, David J. Mireles Morales:
Efficient Hyperelliptic Arithmetic using Balanced Representation for Divisors. IACR Cryptol. ePrint Arch. 2008: 265 (2008) - 2007
- [j12]Paulo S. L. M. Barreto, Steven D. Galbraith
, Colm O'hEigeartaigh, Michael Scott:
Efficient pairing computation on supersingular Abelian varieties. Des. Codes Cryptogr. 42(3): 239-271 (2007) - [j11]Steven D. Galbraith
, James F. McKee, P. C. Valença:
Ordinary abelian varieties having small embedding degree. Finite Fields Their Appl. 13(4): 800-814 (2007) - [j10]Steven D. Galbraith
, Colm O'hEigeartaigh, Caroline Sheedy:
Simplified pairing computation and security implications. J. Math. Cryptol. 1(3): 267-281 (2007) - [c15]Waldyr D. Benits Junior, Steven D. Galbraith:
Constructing Pairing-Friendly Elliptic Curves Using Gröbner Basis Reduction. IMACC 2007: 336-345 - [c14]Steven D. Galbraith
, Florian Hess, Frederik Vercauteren
:
Hyperelliptic Pairings. Pairing 2007: 108-131 - [c13]Waldyr D. Benits Junior, Steven D. Galbraith
:
The GPS Identification Scheme Using Frobenius Expansions. WEWoRC 2007: 13-27 - [e1]Steven D. Galbraith:
Cryptography and Coding, 11th IMA International Conference, Cirencester, UK, December 18-20, 2007, Proceedings. Lecture Notes in Computer Science 4887, Springer 2007, ISBN 978-3-540-77271-2 [contents] - [i14]Steven D. Galbraith, Florian Hess, Frederik Vercauteren:
Aspects of Pairing Inversion. IACR Cryptol. ePrint Arch. 2007: 256 (2007) - 2006
- [c12]Alexander W. Dent, Steven D. Galbraith:
Hidden Pairings and Trapdoor DDH Groups. ANTS 2006: 436-451 - [i13]Steven D. Galbraith, Kenneth G. Paterson, Nigel P. Smart:
Pairings for Cryptographers. IACR Cryptol. ePrint Arch. 2006: 165 (2006) - [i12]Steven D. Galbraith, Colm O'hEigeartaigh, Caroline Sheedy:
Simplified pairing computation and security implications. IACR Cryptol. ePrint Arch. 2006: 169 (2006) - [i11]Steven D. Galbraith:
Disguising tori and elliptic curves. IACR Cryptol. ePrint Arch. 2006: 248 (2006) - [i10]Steven D. Galbraith, Benjamin A. Smith:
Discrete Logarithms in Generalized Jacobians. IACR Cryptol. ePrint Arch. 2006: 333 (2006) - [i9]Steven D. Galbraith, Jordi Pujolàs, Christophe Ritzenthaler, Benjamin A. Smith:
Distortion maps for genus two curves. IACR Cryptol. ePrint Arch. 2006: 375 (2006) - 2005
- [j9]Steven D. Galbraith
, Alfred Menezes:
Algebraic curves and cryptography. Finite Fields Their Appl. 11(3): 544-577 (2005) - [c11]Steven D. Galbraith, Chris Heneghan, James F. McKee:
Tunable Balancing of RSA. ACISP 2005: 280-292 - [c10]Steven D. Galbraith
, James F. McKee:
Pairings on Elliptic Curves over Finite Commutative Rings. IMACC 2005: 392-409 - [i8]Steven D. Galbraith:
The Weil pairing on elliptic curves over C. IACR Cryptol. ePrint Arch. 2005: 323 (2005) - 2004
- [j8]Steven D. Galbraith, Victor Rotger:
Easy Decision Diffie-Hellman Groups. LMS J. Comput. Math. 7: 201-218 (2004) - [c9]Steven D. Galbraith, Herbie J. Hopkins, Igor E. Shparlinski
:
Secure Bilinear Diffie-Hellman Bits. ACISP 2004: 370-378 - [i7]Steven D. Galbraith, Victor Rotger:
Easy decision-Diffie-Hellman groups. IACR Cryptol. ePrint Arch. 2004: 70 (2004) - [i6]Steven D. Galbraith, James F. McKee, P. C. Valença:
Ordinary abelian varieties having small embedding degree. IACR Cryptol. ePrint Arch. 2004: 365 (2004) - [i5]Paulo S. L. M. Barreto, Steven D. Galbraith, Colm O'hEigeartaigh, Michael Scott:
Efficient Pairing Computation on Supersingular Abelian Varieties. IACR Cryptol. ePrint Arch. 2004: 375 (2004) - 2003
- [j7]Steven D. Galbraith
:
Weil Descent of Jacobians. Discret. Appl. Math. 128(1): 165-180 (2003) - [c8]Steven D. Galbraith, Wenbo Mao:
Invisibility and Anonymity of Undeniable and Confirmer Signatures. CT-RSA 2003: 80-97 - [i4]Simon R. Blackburn, Carlos Cid, Steven D. Galbraith:
Cryptanalysis of a Cryptosystem based on Drinfeld modules. IACR Cryptol. ePrint Arch. 2003: 223 (2003) - 2002
- [j6]Steven D. Galbraith
, John Malone-Lee, Nigel P. Smart:
Public key signatures in the multi-user setting. Inf. Process. Lett. 83(5): 263-266 (2002) - [j5]Steven D. Galbraith
:
Elliptic Curve Paillier Schemes. J. Cryptol. 15(2): 129-138 (2002) - [j4]Steven D. Galbraith
, Sachar M. Paulus, Nigel P. Smart:
Arithmetic on superelliptic curves. Math. Comput. 71(237): 393-405 (2002) - [c7]Steven D. Galbraith
, Keith Harrison, David Soldera:
Implementing the Tate Pairing. ANTS 2002: 324-337 - [c6]Steven D. Galbraith, Wenbo Mao, Kenneth G. Paterson:
RSA-Based Undeniable Signatures for General Moduli. CT-RSA 2002: 200-217 - [c5]Steven D. Galbraith, Florian Hess, Nigel P. Smart:
Extending the GHS Weil Descent Attack. EUROCRYPT 2002: 29-44 - [i3]Steven D. Galbraith, Herbie J. Hopkins, Igor E. Shparlinski:
Secure Bilinear Diffie-Hellman Bits. IACR Cryptol. ePrint Arch. 2002: 155 (2002) - 2001
- [j3]Steven D. Galbraith
:
Weil Descent Of Jacobians. Electron. Notes Discret. Math. 6: 459-468 (2001) - [c4]Steven D. Galbraith:
Supersingular Curves in Cryptography. ASIACRYPT 2001: 495-513 - [i2]Steven D. Galbraith:
Elliptic curve Paillier schemes. IACR Cryptol. ePrint Arch. 2001: 50 (2001) - [i1]Steven D. Galbraith, Florian Hess, Nigel P. Smart:
Extending the GHS Weil Descent Attack. IACR Cryptol. ePrint Arch. 2001: 54 (2001)
1990 – 1999
- 1999
- [j2]Steven D. Galbraith
:
Rational Points on XO +(p). Exp. Math. 8(4): 311-318 (1999) - [j1]Steven D. Galbraith:
Constructing Isogenies between Elliptic Curves Over Finite Fields. LMS J. Comput. Math. 2: 118-138 (1999) - [c3]Simon R. Blackburn, Steven D. Galbraith:
Cryptanalysis of Two Cryptosystems Based on Group Actions. ASIACRYPT 1999: 52-61 - [c2]Steven D. Galbraith, Nigel P. Smart:
A Cryptographic Application of Weil Descent. IMACC 1999: 191-200 - [c1]Simon R. Blackburn, Simon Blake-Wilson, Mike Burmester, Steven D. Galbraith:
Weaknesses in Shared RSA Key Generation Protocols. IMACC 1999: 300-306
Coauthor Index
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