Cryptanalysis of Two Cryptosystems Based on Group Actions. - Simon R. Blackburn; Steven D. Galbraith (ASIACRYPT, 1999)

Weaknesses in Shared RSA Key Generation Protocols. - Simon R. Blackburn; Simon Blake-Wilson; Mike Burmester; Steven D. Galbraith (IMACC, 1999)

A Cryptographic Application of Weil Descent. - Steven D. Galbraith; Nigel P. Smart (IMACC, 1999)

Rational Points on XO +(p). - Steven D. Galbraith (Exp. Math., 1999)

Constructing Isogenies between Elliptic Curves Over Finite Fields. - Steven D. Galbraith (LMS J. Comput. Math., 1999)

Supersingular Curves in Cryptography. - Steven D. Galbraith (ASIACRYPT, 2001)

Extending the GHS Weil Descent Attack. - Steven D. Galbraith; Florian Hess; Nigel P. Smart (IACR Cryptol. ePrint Arch., 2001)

Implementing the Tate Pairing. - Steven D. Galbraith; Keith Harrison; David Soldera (ANTS, 2002)

RSA-Based Undeniable Signatures for General Moduli. - Steven D. Galbraith; Wenbo Mao; Kenneth G. Paterson (CT-RSA, 2002)

Secure Bilinear Diffie-Hellman Bits. - Steven D. Galbraith; Herbie J. Hopkins; Igor E. Shparlinski (IACR Cryptol. ePrint Arch., 2002)

Public key signatures in the multi-user setting. - Steven D. Galbraith; John Malone-Lee; Nigel P. Smart (Inf. Process. Lett., 2002)

Elliptic Curve Paillier Schemes. - Steven D. Galbraith (J. Cryptol., 2002)

Arithmetic on superelliptic curves. - Steven D. Galbraith; Sachar M. Paulus; Nigel P. Smart (Math. Comput., 2002)

Invisibility and Anonymity of Undeniable and Confirmer Signatures. - Steven D. Galbraith; Wenbo Mao (CT-RSA, 2003)

Weil Descent of Jacobians. - Steven D. Galbraith (Discret. Appl. Math., 2003)

Cryptanalysis of a Cryptosystem based on Drinfeld modules. - Simon R. Blackburn; Carlos Cid; Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2003)

Easy Decision Diffie-Hellman Groups. - Steven D. Galbraith; Victor Rotger (LMS J. Comput. Math., 2004)

Tunable Balancing of RSA. - Steven D. Galbraith; Chris Heneghan; James F. McKee (ACISP, 2005)

Pairings on Elliptic Curves over Finite Commutative Rings. - Steven D. Galbraith; James F. McKee (IMACC, 2005)

Algebraic curves and cryptography. - Steven D. Galbraith; Alfred Menezes (Finite Fields Their Appl., 2005)

The Weil pairing on elliptic curves over C. - Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2005)

Hidden Pairings and Trapdoor DDH Groups. - Alexander W. Dent; Steven D. Galbraith (ANTS, 2006)

Disguising tori and elliptic curves. - Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2006)

Distortion maps for genus two curves. - Steven D. Galbraith; Jordi Pujolàs; Christophe Ritzenthaler; Benjamin A. Smith (IACR Cryptol. ePrint Arch., 2006)

Discrete Logarithms in Generalized Jacobians. - Steven D. Galbraith; Benjamin A. Smith (IACR Cryptol. ePrint Arch., 2006)

Constructing Pairing-Friendly Elliptic Curves Using Gröbner Basis Reduction. - Waldyr D. Benits Junior; Steven D. Galbraith (IMACC, 2007)

Hyperelliptic Pairings. - Steven D. Galbraith; Florian Hess; Frederik Vercauteren (Pairing, 2007)

The GPS Identification Scheme Using Frobenius Expansions. - Waldyr D. Benits Junior; Steven D. Galbraith (WEWoRC, 2007)

Efficient pairing computation on supersingular Abelian varieties. - Paulo S. L. M. Barreto; Steven D. Galbraith; Colm O'hEigeartaigh; Michael Scott (Des. Codes Cryptogr., 2007)

Ordinary abelian varieties having small embedding degree. - Steven D. Galbraith; James F. McKee; P. C. Valença (Finite Fields Their Appl., 2007)

Simplified pairing computation and security implications. - Steven D. Galbraith; Colm O'hEigeartaigh; Caroline Sheedy (J. Math. Cryptol., 2007)

An Analysis of the Vector Decomposition Problem. - Steven D. Galbraith; Eric R. Verheul (Public Key Cryptography, 2008)

Computing L-polynomials of non-hyperelliptic genus 4 and 5 curves (abstract only). - Steven D. Galbraith; Raminder S. Ruprai (ACM Commun. Comput. Algebra, 2008)

Pairings for cryptographers. - Steven D. Galbraith; Kenneth G. Paterson; Nigel P. Smart (Discret. Appl. Math., 2008)

Efficient arithmetic on elliptic curves using a mixed Edwards-Montgomery representation. - Wouter Castryck; Steven D. Galbraith; Reza Rezaeian Farashahi (IACR Cryptol. ePrint Arch., 2008)

Efficient Hyperelliptic Arithmetic using Balanced Representation for Divisors. - Steven D. Galbraith; Michael Harrison; David J. Mireles Morales (IACR Cryptol. ePrint Arch., 2008)

Computing Pairings Using x-Coordinates Only. - Steven D. Galbraith; Xibin Lin (IACR Cryptol. ePrint Arch., 2008)

Pairings on hyperelliptic curves with a real model. - Steven D. Galbraith; Xibin Lin; David J. Mireles Morales (IACR Cryptol. ePrint Arch., 2008)

Exponentiation in pairing-friendly groups using homomorphisms. - Steven D. Galbraith; Michael Scott (IACR Cryptol. ePrint Arch., 2008)

Aspects of Pairing Inversion. - Steven D. Galbraith; Florian Hess; Frederik Vercauteren (IEEE Trans. Inf. Theory, 2008)

An Improvement to the Gaudry-Schost Algorithm for Multidimensional Discrete Logarithm Problems. - Steven D. Galbraith; Raminder S. Ruprai (IMACC, 2009)

Computing pairings using x -coordinates only. - Steven D. Galbraith; Xibin Lin (Des. Codes Cryptogr., 2009)

Distortion maps for supersingular genus two curves. - Steven D. Galbraith; Jordi Pujolàs; Christophe Ritzenthaler; Benjamin A. Smith (J. Math. Cryptol., 2009)

Using Equivalence Classes to Accelerate Solving the Discrete Logarithm Problem in a Short Interval. - Steven D. Galbraith; Raminder S. Ruprai (IACR Cryptol. ePrint Arch., 2010)

Point compression for Koblitz elliptic curves. - Philip N. J. Eagle; Steven D. Galbraith; John Ong (Adv. Math. Commun., 2011)

On the distribution of the coefficients of normal forms for Frobenius expansions. - Roberto Avanzi; Waldyr D. Benits Junior; Steven D. Galbraith; James F. McKee (Des. Codes Cryptogr., 2011)

Endomorphisms for Faster Elliptic Curve Cryptography on a Large Class of Curves. - Steven D. Galbraith; Xibin Lin; Michael Scott (J. Cryptol., 2011)

Mathematics of Public Key Cryptography - Steven D. Galbraith (Cambridge University Press, 2012)

A non-uniform birthday problem with applications to discrete logarithms. - Steven D. Galbraith; Mark Holmes (Discret. Appl. Math., 2012)

Improved algorithm for the isogeny problem for ordinary elliptic curves. - Steven D. Galbraith; Anton Stolbunov (Appl. Algebra Eng. Commun. Comput., 2013)

An improved compression technique for signatures based on learning with errors. - Shi Bai 001; Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2013)

Lattice Decoding Attacks on Binary LWE. - Shi Bai 001; Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2013)

Self-pairings on hyperelliptic curves. - Steven D. Galbraith; Chang-An Zhao (J. Math. Cryptol., 2013)

Computing discrete logarithms in an interval. - Steven D. Galbraith; John M. Pollard; Raminder S. Ruprai (Math. Comput., 2013)

Sampling from discrete Gaussians for lattice-based cryptography on a constrained device. - Nagarjun C. Dwarakanath; Steven D. Galbraith (Appl. Algebra Eng. Commun. Comput., 2014)

Improved Exponential-time Algorithms for Inhomogeneous-SIS. - Shi Bai 001; Steven D. Galbraith; Liangze Li; Daniel Sheffield (IACR Cryptol. ePrint Arch., 2014)

Summation polynomial algorithms for elliptic curves in characteristic two. - Steven D. Galbraith; Shishay W. Gebregiyorgis (IACR Cryptol. ePrint Arch., 2014)

Erratum Self-pairings on hyperelliptic curves [J. Math. Cryptol. 7(2013), 31-42]. - Steven D. Galbraith; Chang-An Zhao (J. Math. Cryptol., 2014)

Constructing supersingular elliptic curves with a given endomorphism ring. - Ilya Chevyrev; Steven D. Galbraith (LMS J. Comput. Math., 2014)

Kangaroo Methods for Solving the Interval Discrete Logarithm Problem. - Alex Fowler; Steven D. Galbraith (CoRR, 2015)

Adaptive key recovery attacks on NTRU-based somewhat homomorphic encryption schemes. - Ricardo Dahab; Steven D. Galbraith; Eduardo Morais (IACR Cryptol. ePrint Arch., 2015)

The Multivariate Hidden Number Problem. - Steven D. Galbraith; Barak Shani (IACR Cryptol. ePrint Arch., 2015)

Preventing Adaptive Key Recovery Attacks on the GSW Levelled Homomorphic Encryption Scheme. - Zengpeng Li 001; Steven D. Galbraith; Chunguang Ma (ProvSec, 2016)

Computing isogenies between supersingular elliptic curves over 𝔽p. - Christina Delfs; Steven D. Galbraith (Des. Codes Cryptogr., 2016)

Recent progress on the elliptic curve discrete logarithm problem. - Steven D. Galbraith; Pierrick Gaudry (Des. Codes Cryptogr., 2016)

Signature Schemes Based On Supersingular Isogeny Problems. - Steven D. Galbraith; Christophe Petit 001; Javier Silva 001 (IACR Cryptol. ePrint Arch., 2016)

On the Security of Supersingular Isogeny Cryptosystems. - Steven D. Galbraith; Christophe Petit 001; Barak Shani; Yan Bo Ti (IACR Cryptol. ePrint Arch., 2016)

Preventing Adaptive Key Recovery Attacks on the Gentry-Sahai-Waters Leveled Homomorphic Encryption Scheme. - Zengpeng Li 001; Steven D. Galbraith; Chunguang Ma (IACR Cryptol. ePrint Arch., 2016)

Algorithms for the approximate common divisor problem. - Steven D. Galbraith; Shishay W. Gebregiyorgis; Sean Murphy (LMS J. Comput. Math., 2016)

P-McDb: Privacy-Preserving Search Using Multi-Cloud Encrypted Databases. - Shujie Cui; Muhammad Rizwan Asghar; Steven D. Galbraith; Giovanni Russello (CLOUD, 2017)

Secure and Practical Searchable Encryption: A Position Paper. - Shujie Cui; Muhammad Rizwan Asghar; Steven D. Galbraith; Giovanni Russello (ACISP (1), 2017)

ObliviousDB: Practical and Efficient Searchable Encryption with Controllable Leakage. - Shujie Cui; Muhammad Rizwan Asghar; Steven D. Galbraith; Giovanni Russello (FPS, 2017)

Computing elliptic curve discrete logarithms with improved baby-step giant-step algorithm. - Steven D. Galbraith; Ping Wang 005; Fangguo Zhang (Adv. Math. Commun., 2017)

Indistinguishable Predicates: A New Tool for Obfuscation. - Lukas Zobernig; Steven D. Galbraith; Giovanni Russello (IACR Cryptol. ePrint Arch., 2017)

Finding Significant Fourier Coefficients: Clarifications, Simplifications, Applications and Limitations. - Steven D. Galbraith; Joel Laity; Barak Shani (Chic. J. Theor. Comput. Sci., 2018)

SeaSign: Compact isogeny signatures from class group actions. - Luca De Feo; Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2018)

Authenticated key exchange for SIDH. - Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2018)

Quantum Equivalence of the DLP and CDHP for Group Actions. - Steven D. Galbraith; Lorenz Panny; Benjamin Smith 003; Frederik Vercauteren (IACR Cryptol. ePrint Arch., 2018)

Computational problems in supersingular elliptic curve isogenies. - Steven D. Galbraith; Frederik Vercauteren (Quantum Inf. Process., 2018)

When are Opaque Predicates Useful? - Lukas Zobernig; Steven D. Galbraith; Giovanni Russello (TrustCom/BigDataSE, 2019)

Privacy-preserving Searchable Databases with Controllable Leakage. - Shujie Cui; Xiangfu Song; Muhammad Rizwan Asghar; Steven D. Galbraith; Giovanni Russello (CoRR, 2019)

On the Degree-Insensitive SI-GDH problem and assumption. - Samuel Dobson; Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2019)

Extending the Adaptive Attack to 2-SIDH. - Samuel Dobson; Steven D. Galbraith; Jason T. LeGrow; Yan Bo Ti; Lukas Zobernig (IACR Cryptol. ePrint Arch., 2019)

Integral Matrix Gram Root and Lattice Gaussian Sampling without Floats. - Léo Ducas; Steven D. Galbraith; Thomas Prest; Yang Yu 008 (IACR Cryptol. ePrint Arch., 2019)

Safety in Numbers: On the Need for Robust Diffie-Hellman Parameter Validation. - Steven D. Galbraith; Jake Massimo; Kenneth G. Paterson (IACR Cryptol. ePrint Arch., 2019)

Obfuscated Fuzzy Hamming Distance and Conjunctions from Subset Product Problems. - Steven D. Galbraith; Lukas Zobernig (IACR Cryptol. ePrint Arch., 2019)

Improved Combinatorial Algorithms for the Inhomogeneous Short Integer Solution Problem. - Shi Bai 001; Steven D. Galbraith; Liangze Li; Daniel Sheffield (J. Cryptol., 2019)

Towards a Theory of Special-Purpose Program Obfuscation. - Muhammad Rizwan Asghar; Steven D. Galbraith; Andrea Lanzi; Giovanni Russello; Lukas Zobernig (TrustCom, 2020)

Advances in security research in the Asiacrypt region. - Raphael C.-W. Phan; Masayuki Abe; Lynn Batten; Jung Hee Cheon; Ed Dawson; Steven D. Galbraith; Jian Guo 001; Lucas C. K. Hui; Kwangjo Kim; Xuejia Lai; Dong Hoon Lee 001; Mitsuru Matsui; et al. (Commun. ACM, 2020)

Trustless Groups of Unknown Order with Hyperelliptic Curves. - Samuel Dobson; Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2020)

On Index Calculus Algorithms for Subfield Curves. - Steven D. Galbraith; Robert Granger; Simon-Philipp Merz; Christophe Petit 001 (IACR Cryptol. ePrint Arch., 2020)

Big Subset and Small Superset Obfuscation. - Steven D. Galbraith; Trey Li (IACR Cryptol. ePrint Arch., 2020)

Obfuscating Finite Automata. - Steven D. Galbraith; Lukas Zobernig (IACR Cryptol. ePrint Arch., 2020)

Compact, Efficient and UC-Secure Isogeny-Based Oblivious Transfer. - Yi-Fu Lai; Steven D. Galbraith; Cyprien Delpech de Saint Guilhem (IACR Cryptol. ePrint Arch., 2020)

Identification Protocols and Signature Schemes Based on Supersingular Isogeny Problems. - Steven D. Galbraith; Christophe Petit 001; Javier Silva 001 (J. Cryptol., 2020)

Small Superset and Big Subset Obfuscation. - Steven D. Galbraith; Trey Li (ACISP, 2021)

Post-Quantum Signal Key Agreement with SIDH. - Samuel Dobson; Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2021)

SIDH Proof of Knowledge. - Luca De Feo; Samuel Dobson; Steven D. Galbraith; Lukas Zobernig (IACR Cryptol. ePrint Arch., 2021)

An adaptive attack on 2-SIDH. - Samuel Dobson; Steven D. Galbraith; Jason T. LeGrow; Yan Bo Ti; Lukas Zobernig (Int. J. Comput. Math. Comput. Syst. Theory, 2021)

Privacy-preserving Dynamic Symmetric Searchable Encryption with Controllable Leakage. - Shujie Cui; Xiangfu Song; Muhammad Rizwan Asghar; Steven D. Galbraith; Giovanni Russello (ACM Trans. Priv. Secur., 2021)

Post-Quantum Signal Key Agreement from SIDH. - Samuel Dobson; Steven D. Galbraith (PQCrypto, 2022)

Trustless unknown-order groups. - Samuel Dobson; Steven D. Galbraith; Benjamin Smith 003 (CoRR, 2022)

Attack on SHealS and HealS: the Second Wave of GPST. - Steven D. Galbraith; Yi-Fu Lai (IACR Cryptol. ePrint Arch., 2022)

Preventing Reverse Engineering of Control Programs in Industrial Control Systems. - Shalini Banerjee; Steven D. Galbraith; Tariq Khan; John Henry Castellanos; Giovanni Russello (CPSS@AsiaCCS, 2023)

Obfuscating Evasive Decision Trees. - Shalini Banerjee; Steven D. Galbraith; Giovanni Russello (INDOCRYPT (2), 2023)

Auditable Obfuscation. - Shalini Banerjee; Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2023)

Obfuscating Decision Trees. - Shalini Banerjee; Steven D. Galbraith; Giovanni Russello (IACR Cryptol. ePrint Arch., 2023)

CSIDH with Level Structure. - Steven D. Galbraith; Derek Perrin; José Felipe Voloch (IACR Cryptol. ePrint Arch., 2023)

Proving knowledge of isogenies: a survey. - Ward Beullens; Luca De Feo; Steven D. Galbraith; Christophe Petit 001 (Des. Codes Cryptogr., 2023)

Guest editorial: Special issue on Mathematics of Zero-Knowledge. - Steven D. Galbraith; Rosario Gennaro; Carla Ràfols; Ron Steinfeld (Des. Codes Cryptogr., 2023)

Failing to Hash Into Supersingular Isogeny Graphs. - Jeremy Booher; Ross Bowden; Javad Doliskani; Tako Boris Fouotsa; Steven D. Galbraith; Sabrina Kunzweiler; Simon-Philipp Merz; Christophe Petit 001; Benjamin Smith 003; Katherine E. Stange; Yan Bo Ti; Christelle Vincent; et al. (Comput. J., 2024)

Climbing and descending tall volcanos. - Steven D. Galbraith (IACR Cryptol. ePrint Arch., 2024)

Further Connections Between Isogenies of Supersingular Curves and Bruhat-Tits Trees. - Steven D. Galbraith; Valerie Gilchrist; Shai Levin; Ari Markowitz (IACR Cryptol. ePrint Arch., 2024)

A Simpler and More Efficient Reduction of DLog to CDH for Abelian Group Actions. - Steven D. Galbraith; Yi-Fu Lai; Hart Montgomery (IACR Cryptol. ePrint Arch., 2024)

Obfuscation of evasive algebraic set membership. - Steven D. Galbraith; Trey Li (Adv. Math. Commun., 2025)

Improving special cases of the computational isogeny problem. - Steven D. Galbraith; Valerie Gilchrist; Damien Robert 001 (IACR Cryptol. ePrint Arch., 2025)

Breaking and Improving a Lattice-Code-Based Cryptosystem by Li, Ling, Xing, and Yeo. - Pabasara Athukorala; Steven D. Galbraith (IEEE Trans. Inf. Theory, 2025)