Craig Costello

87 papers A* 5A 1B 2C 3Misc 3Journal 54Unranked 19
YearRankTypeTitle / Venue / Authors
2026 J jnl
Cycles of supersingular elliptic curves for pairing-based proof systems.
IACR Commun. Cryptol.
Craig Costello, Gaurish Korpal
2026 J jnl
Efficient Algorithms for the Detection of (N, N)-Splittings and Endomorphisms.
J. Cryptol.
Maria Corte-Real Santos, Craig Costello, Sam Frengley
2025 J jnl
Efficient algorithms for the detection of (N,N)-splittings and endomorphisms.
IACR Cryptol. ePrint Arch.
Maria Corte-Real Santos, Craig Costello, Sam Frengley
2025 J jnl
On pairs of primes with small order reciprocity.
IACR Cryptol. ePrint Arch.
Craig Costello, Gaurish Korpal
2024 — conf
An Algorithm for Efficient Detection of (N, N)-Splittings and Its Application to the Isogeny Problem in Dimension 2.
Public Key Cryptography (3)
Maria Corte-Real Santos, Craig Costello, Sam Frengley
2024 J jnl
Efficient (3, 3)-isogenies on fast Kummer surfaces.
CoRR
Maria Corte-Real Santos, Craig Costello, Benjamin Smith
2024 J jnl
Efficient (3,3)-isogenies on fast Kummer surfaces.
IACR Cryptol. ePrint Arch.
Maria Corte-Real Santos, Craig Costello, Benjamin Smith
2024 J jnl
Lollipops of pairing-friendly elliptic curves for composition of proof systems.
IACR Cryptol. ePrint Arch.
Craig Costello, Gaurish Korpal
2024 — conf
On Cycles of Pairing-Friendly Abelian Varieties.
CRYPTO (9)
Maria Corte-Real Santos, Craig Costello, Michael Naehrig
2024 J jnl
On cycles of pairing-friendly abelian varieties.
IACR Cryptol. ePrint Arch.
Maria Corte-Real Santos, Craig Costello, Michael Naehrig
2023 — conf
Cryptographic Smooth Neighbors.
ASIACRYPT (7)
Giacomo Bruno, Maria Corte-Real Santos, Craig Costello, Jonathan Komada Eriksen, Michael Meyer, Michael Naehrig, Bruno Sterner
2022 — conf
Accelerating the Delfs-Galbraith Algorithm with Fast Subfield Root Detection.
CRYPTO (3)
Maria Corte-Real Santos, Craig Costello, Jia Shi
2022 J jnl
An algorithm for efficient detection of (N, N)-splittings and its application to the isogeny problem in dimension 2.
IACR Cryptol. ePrint Arch.
Maria Corte-Real Santos, Craig Costello, Sam Frengley
2022 J jnl
Cryptographic Smooth Neighbors.
IACR Cryptol. ePrint Arch.
Giacomo Bruno, Maria Corte-Real Santos, Craig Costello, Jonathan Komada Eriksen, Michael Naehrig, Michael Meyer, Bruno Sterner
2021 — conf
Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem.
EUROCRYPT (1)
Craig Costello, Michael Meyer, Michael Naehrig
2021 J jnl
SuperSolver: accelerating the Delfs-Galbraith algorithm with fast subfield root detection.
IACR Cryptol. ePrint Arch.
Maria Corte-Real Santos, Craig Costello, Jia Shi
2021 J jnl
The Case for SIKE: A Decade of the Supersingular Isogeny Problem.
IACR Cryptol. ePrint Arch.
Craig Costello
2020 — conf
B-SIDH: Supersingular Isogeny Diffie-Hellman Using Twisted Torsion.
ASIACRYPT (2)
Craig Costello
2020 — conf
Improved Classical Cryptanalysis of SIKE in Practice.
Public Key Cryptography (2)
Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia
2020 J jnl
Sieving for twin smooth integers with solutions to the Prouhet-Tarry-Escott problem.
IACR Cryptol. ePrint Arch.
Craig Costello, Michael Meyer, Michael Naehrig
2020 C conf
The Supersingular Isogeny Problem in Genus 2 and Beyond.
PQCrypto
Craig Costello, Benjamin Smith
2019 J jnl
B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion.
IACR Cryptol. ePrint Arch.
Craig Costello
2019 J jnl
Improved Classical Cryptanalysis of the Computational Supersingular Isogeny Problem.
IACR Cryptol. ePrint Arch.
Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia
2019 Misc conf
Supersingular Isogeny Key Exchange for Beginners.
SAC
Craig Costello
2019 J jnl
Supersingular isogeny key exchange for beginners.
IACR Cryptol. ePrint Arch.
Craig Costello
2019 J jnl
The supersingular isogeny problem in genus 2 and beyond.
CoRR
Craig Costello, Benjamin Smith
2019 J jnl
The supersingular isogeny problem in genus 2 and beyond.
IACR Cryptol. ePrint Arch.
Craig Costello, Benjamin Smith
2018 — conf
Computing Supersingular Isogenies on Kummer Surfaces.
ASIACRYPT (3)
Craig Costello
2018 J jnl
Computing supersingular isogenies on Kummer surfaces.
IACR Cryptol. ePrint Arch.
Craig Costello
2018 J jnl
Montgomery curves and their arithmetic - The case of large characteristic fields.
J. Cryptogr. Eng.
Craig Costello, Benjamin Smith
2017 — conf
A Simple and Compact Algorithm for SIDH with Arbitrary Degree Isogenies.
ASIACRYPT (2)
Craig Costello, Hüseyin Hisil
2017 J jnl
A simple and compact algorithm for SIDH with arbitrary degree isogenies.
IACR Cryptol. ePrint Arch.
Craig Costello, Hüseyin Hisil
2017 — conf
Efficient Compression of SIDH Public Keys.
EUROCRYPT (1)
Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
2017 J jnl
Jacobian Coordinates on Genus 2 Curves.
J. Cryptol.
Hüseyin Hisil, Craig Costello
2017 J jnl
Montgomery curves and their arithmetic.
CoRR
Craig Costello, Benjamin Smith
2017 J jnl
Montgomery curves and their arithmetic: The case of large characteristic fields.
IACR Cryptol. ePrint Arch.
Craig Costello, Benjamin Smith
2016 — conf
Complete Addition Formulas for Prime Order Elliptic Curves.
EUROCRYPT (1)
Joost Renes, Craig Costello, Lejla Batina
2016 — conf
Efficient Algorithms for Supersingular Isogeny Diffie-Hellman.
CRYPTO (1)
Craig Costello, Patrick Longa, Michael Naehrig
2016 J jnl
Efficient algorithms for supersingular isogeny Diffie-Hellman.
IACR Cryptol. ePrint Arch.
Craig Costello, Patrick Longa, Michael Naehrig
2016 J jnl
Efficient compression of SIDH public keys.
IACR Cryptol. ePrint Arch.
Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
2016 J jnl
Fast Cryptography in Genus 2.
J. Cryptol.
Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter
2016 Misc conf
Fast, Uniform Scalar Multiplication for Genus 2 Jacobians with Fast Kummers.
SAC
Ping Ngai Chung, Craig Costello, Benjamin Smith
2016 J jnl
Fast, uniform scalar multiplication for genus 2 Jacobians with fast Kummers.
IACR Cryptol. ePrint Arch.
Ping Ngai Chung, Craig Costello, Benjamin Smith
2016 A* conf
Frodo: Take off the Ring! Practical, Quantum-Secure Key Exchange from LWE.
CCS
Joppe W. Bos, Craig Costello, Léo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila
2016 J jnl
Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE.
IACR Cryptol. ePrint Arch.
Joppe W. Bos, Craig Costello, Léo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila
2016 J jnl
Selecting elliptic curves for cryptography: an efficiency and security analysis.
J. Cryptogr. Eng.
Joppe W. Bos, Craig Costello, Patrick Longa, Michael Naehrig
2015 J jnl
Complete addition formulas for prime order elliptic curves.
IACR Cryptol. ePrint Arch.
Joost Renes, Craig Costello, Lejla Batina
2015 J jnl
Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes.
CoRR
Ping Ngai Chung, Craig Costello, Benjamin Smith
2015 J jnl
Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes.
IACR Cryptol. ePrint Arch.
Ping Ngai Chung, Craig Costello, Benjamin Smith
2015 J jnl
FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime.
IACR Cryptol. ePrint Arch.
Craig Costello, Patrick Longa
2015 — conf
Fourℚ: Four-Dimensional Decompositions on a ℚ-curve over the Mersenne Prime.
ASIACRYPT (1)
Craig Costello, Patrick Longa
2015 A* conf
Geppetto: Versatile Verifiable Computation.
IEEE Symposium on Security and Privacy
Craig Costello, Cédric Fournet, Jon Howell, Markulf Kohlweiss, Benjamin Kreuter, Michael Naehrig, Bryan Parno, Samee Zahur
2015 A* conf
Post-Quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem.
IEEE Symposium on Security and Privacy
Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila
2015 — conf
Subgroup Security in Pairing-Based Cryptography.
LATINCRYPT
Paulo S. L. M. Barreto, Craig Costello, Rafael Misoczki, Michael Naehrig, Geovandro C. C. F. Pereira, Gustavo H. M. Zanon
2015 J jnl
Subgroup security in pairing-based cryptography.
IACR Cryptol. ePrint Arch.
Paulo S. L. M. Barreto, Craig Costello, Rafael Misoczki, Michael Naehrig, C. C. F. Pereira Geovandro, Gustavo H. M. Zanon
2014 J jnl
Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants.
IACR Cryptol. ePrint Arch.
Craig Costello, Alyson Deines-Schartz, Kristin E. Lauter, Tonghai Yang
2014 J jnl
Constructing abelian surfaces for cryptography via Rosenhain invariants.
LMS J. Comput. Math.
Craig Costello, Alyson Deines-Schartz, Kristin E. Lauter, Tonghai Yang
2014 — conf
Elliptic and Hyperelliptic Curves: A Practical Security Analysis.
Public Key Cryptography
Joppe W. Bos, Craig Costello, Andrea Miele
2014 A* conf
Faster Compact Diffie-Hellman: Endomorphisms on the x-line.
EUROCRYPT
Craig Costello, Hüseyin Hisil, Benjamin Smith
2014 J jnl
Geppetto: Versatile Verifiable Computation.
IACR Cryptol. ePrint Arch.
Craig Costello, Cédric Fournet, Jon Howell, Markulf Kohlweiss, Benjamin Kreuter, Michael Naehrig, Bryan Parno, Samee Zahur
2014 — conf
Jacobian Coordinates on Genus 2 Curves.
ASIACRYPT (1)
Hüseyin Hisil, Craig Costello
2014 J jnl
Jacobian Coordinates on Genus 2 Curves.
IACR Cryptol. ePrint Arch.
Hüseyin Hisil, Craig Costello
2014 J jnl
Post-quantum key exchange for the TLS protocol from the ring learning with errors problem.
IACR Cryptol. ePrint Arch.
Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila
2014 J jnl
Selecting Elliptic Curves for Cryptography: An Efficiency and Security Analysis.
IACR Cryptol. ePrint Arch.
Joppe W. Bos, Craig Costello, Patrick Longa, Michael Naehrig
2013 J jnl
Elliptic and Hyperelliptic Curves: a Practical Security Analysis.
IACR Cryptol. ePrint Arch.
Joppe W. Bos, Craig Costello, Andrea Miele
2013 B conf
Exponentiating in Pairing Groups.
Selected Areas in Cryptography
Joppe W. Bos, Craig Costello, Michael Naehrig
2013 J jnl
Exponentiating in Pairing Groups.
IACR Cryptol. ePrint Arch.
Joppe W. Bos, Craig Costello, Michael Naehrig
2013 A* conf
Fast Cryptography in Genus 2.
EUROCRYPT
Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter
2013 J jnl
Faster Compact Diffie-Hellman: Endomorphisms on the x-line.
IACR Cryptol. ePrint Arch.
Craig Costello, Hüseyin Hisil, Benjamin Smith
2013 A conf
High-Performance Scalar Multiplication Using 8-Dimensional GLV/GLS Decomposition.
CHES
Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter
2013 J jnl
High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition.
IACR Cryptol. ePrint Arch.
Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter
2012 J jnl
Particularly Friendly Members of Family Trees.
IACR Cryptol. ePrint Arch.
Craig Costello
2012 J jnl
Two is Greater than One.
IACR Cryptol. ePrint Arch.
Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter
2011 Misc conf
Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings.
INDOCRYPT
Craig Costello, Kristin E. Lauter, Michael Naehrig
2011 J jnl
Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings.
IACR Cryptol. ePrint Arch.
Craig Costello, Kristin E. Lauter, Michael Naehrig
2011 B conf
Group Law Computations on Jacobians of Hyperelliptic Curves.
Selected Areas in Cryptography
Craig Costello, Kristin E. Lauter
2011 J jnl
Group Law Computations on Jacobians of Hyperelliptic Curves.
IACR Cryptol. ePrint Arch.
Craig Costello, Kristin E. Lauter
2010 — conf
Avoiding Full Extension Field Arithmetic in Pairing Computations.
AFRICACRYPT
Craig Costello, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
2010 J jnl
Avoiding Full Extension Field Arithmetic in Pairing Computations.
IACR Cryptol. ePrint Arch.
Craig Costello, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
2010 C conf
Delaying Mismatched Field Multiplications in Pairing Computations.
WAIFI
Craig Costello, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
2010 J jnl
Delaying Mismatched Field Multiplications in Pairing Computations.
IACR Cryptol. ePrint Arch.
Craig Costello, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
2010 — conf
Faster Pairing Computations on Curves with High-Degree Twists.
Public Key Cryptography
Craig Costello, Tanja Lange, Michael Naehrig
2010 — conf
Fixed Argument Pairings.
LATINCRYPT
Craig Costello, Douglas Stebila
2010 J jnl
Fixed Argument Pairings.
IACR Cryptol. ePrint Arch.
Craig Costello, Douglas Stebila
2009 J jnl
Faster Pairing Computations on Curves with High-Degree Twists.
IACR Cryptol. ePrint Arch.
Craig Costello, Tanja Lange, Michael Naehrig
2009 C conf
Faster Pairings on Special Weierstrass Curves.
Pairing
Craig Costello, Hüseyin Hisil, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
2009 J jnl
Faster Pairings on Special Weierstrass Curves.
IACR Cryptol. ePrint Arch.
Craig Costello, Hüseyin Hisil, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong