Craig Costello

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 41

Top Topics

Signature Scheme

Efficient Compression

Top Venues

IACR Cryptol. ePrint Arch.

IEEE Symposium on Security and Privacy

Publications

Maria Corte-Real Santos, Craig Costello, Benjamin Smith
Efficient (3,3)-isogenies on fast Kummer surfaces. IACR Cryptol. ePrint Arch. 2024 (2024)
Maria Corte-Real Santos, Craig Costello, Sam Frengley
An Algorithm for Efficient Detection of (N, N)-Splittings and Its Application to the Isogeny Problem in Dimension 2. Public Key Cryptography (3) (2024)
Maria Corte-Real Santos, Craig Costello, Michael Naehrig
On Cycles of Pairing-Friendly Abelian Varieties. CRYPTO (9) (2024)
Maria Corte-Real Santos, Craig Costello, Michael Naehrig
On cycles of pairing-friendly abelian varieties. IACR Cryptol. ePrint Arch. 2024 (2024)
Maria Corte-Real Santos, Craig Costello, Benjamin Smith
Efficient (3, 3)-isogenies on fast Kummer surfaces. CoRR (2024)
Giacomo Bruno, Maria Corte-Real Santos, Craig Costello, Jonathan Komada Eriksen, Michael Meyer, Michael Naehrig, Bruno Sterner
Cryptographic Smooth Neighbors. ASIACRYPT (7) (2023)
Giacomo Bruno, Maria Corte-Real Santos, Craig Costello, Jonathan Komada Eriksen, Michael Naehrig, Michael Meyer, Bruno Sterner
Cryptographic Smooth Neighbors. IACR Cryptol. ePrint Arch. 2022 (2022)
Maria Corte-Real Santos, Craig Costello, Jia Shi
Accelerating the Delfs-Galbraith Algorithm with Fast Subfield Root Detection. CRYPTO (3) (2022)
Maria Corte-Real Santos, Craig Costello, Sam Frengley
An algorithm for efficient detection of (N, N)-splittings and its application to the isogeny problem in dimension 2. IACR Cryptol. ePrint Arch. 2022 (2022)
Maria Corte-Real Santos, Craig Costello, Jia Shi
SuperSolver: accelerating the Delfs-Galbraith algorithm with fast subfield root detection. IACR Cryptol. ePrint Arch. 2021 (2021)
Craig Costello
The Case for SIKE: A Decade of the Supersingular Isogeny Problem. IACR Cryptol. ePrint Arch. 2021 (2021)
Craig Costello, Michael Meyer, Michael Naehrig
Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem. EUROCRYPT (1) (2021)
Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia
Improved Classical Cryptanalysis of SIKE in Practice. Public Key Cryptography (2) (2020)
Craig Costello, Benjamin Smith
The Supersingular Isogeny Problem in Genus 2 and Beyond. PQCrypto (2020)
Craig Costello, Michael Meyer, Michael Naehrig
Sieving for twin smooth integers with solutions to the Prouhet-Tarry-Escott problem. IACR Cryptol. ePrint Arch. 2020 (2020)
Craig Costello
B-SIDH: Supersingular Isogeny Diffie-Hellman Using Twisted Torsion. ASIACRYPT (2) (2020)
Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia
Improved Classical Cryptanalysis of the Computational Supersingular Isogeny Problem. IACR Cryptol. ePrint Arch. 2019 (2019)
Craig Costello, Benjamin Smith
The supersingular isogeny problem in genus 2 and beyond. CoRR (2019)
Craig Costello, Benjamin Smith
The supersingular isogeny problem in genus 2 and beyond. IACR Cryptol. ePrint Arch. 2019 (2019)
Craig Costello
Supersingular isogeny key exchange for beginners. IACR Cryptol. ePrint Arch. 2019 (2019)
Craig Costello
B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion. IACR Cryptol. ePrint Arch. 2019 (2019)
Craig Costello
Supersingular Isogeny Key Exchange for Beginners. SAC (2019)
Craig Costello, Benjamin Smith
Montgomery curves and their arithmetic - The case of large characteristic fields. J. Cryptogr. Eng. 8 (3) (2018)
Craig Costello
Computing supersingular isogenies on Kummer surfaces. IACR Cryptol. ePrint Arch. 2018 (2018)
Craig Costello
Computing Supersingular Isogenies on Kummer Surfaces. ASIACRYPT (3) (2018)
Craig Costello, Benjamin Smith
Montgomery curves and their arithmetic: The case of large characteristic fields. IACR Cryptol. ePrint Arch. 2017 (2017)
Craig Costello, Hüseyin Hisil
A simple and compact algorithm for SIDH with arbitrary degree isogenies. IACR Cryptol. ePrint Arch. 2017 (2017)
Craig Costello, Benjamin Smith
Montgomery curves and their arithmetic. CoRR (2017)
Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
Efficient Compression of SIDH Public Keys. EUROCRYPT (1) (2017)
Craig Costello, Hüseyin Hisil
A Simple and Compact Algorithm for SIDH with Arbitrary Degree Isogenies. ASIACRYPT (2) (2017)
Hüseyin Hisil, Craig Costello
Jacobian Coordinates on Genus 2 Curves. J. Cryptol. 30 (2) (2017)
Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
Efficient compression of SIDH public keys. IACR Cryptol. ePrint Arch. 2016 (2016)
Ping Ngai Chung, Craig Costello, Benjamin Smith
Fast, Uniform Scalar Multiplication for Genus 2 Jacobians with Fast Kummers. SAC (2016)
Ping Ngai Chung, Craig Costello, Benjamin Smith
Fast, uniform scalar multiplication for genus 2 Jacobians with fast Kummers. IACR Cryptol. ePrint Arch. 2016 (2016)
Joost Renes, Craig Costello, Lejla Batina
Complete Addition Formulas for Prime Order Elliptic Curves. EUROCRYPT (1) (2016)
Craig Costello, Patrick Longa, Michael Naehrig
Efficient Algorithms for Supersingular Isogeny Diffie-Hellman. CRYPTO (1) (2016)
Joppe W. Bos, Craig Costello, Léo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila
Frodo: Take off the Ring! Practical, Quantum-Secure Key Exchange from LWE. CCS (2016)
Joppe W. Bos, Craig Costello, Patrick Longa, Michael Naehrig
Selecting elliptic curves for cryptography: an efficiency and security analysis. J. Cryptogr. Eng. 6 (4) (2016)
Joppe W. Bos, Craig Costello, Léo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila
Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE. IACR Cryptol. ePrint Arch. 2016 (2016)
Craig Costello, Patrick Longa, Michael Naehrig
Efficient algorithms for supersingular isogeny Diffie-Hellman. IACR Cryptol. ePrint Arch. 2016 (2016)
Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter
Fast Cryptography in Genus 2. J. Cryptol. 29 (1) (2016)
Ping Ngai Chung, Craig Costello, Benjamin Smith
Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes. CoRR (2015)
Ping Ngai Chung, Craig Costello, Benjamin Smith
Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes. IACR Cryptol. ePrint Arch. 2015 (2015)
Paulo S. L. M. Barreto, Craig Costello, Rafael Misoczki, Michael Naehrig, Geovandro C. C. F. Pereira, Gustavo Zanon
Subgroup Security in Pairing-Based Cryptography. LATINCRYPT (2015)
Paulo S. L. M. Barreto, Craig Costello, Rafael Misoczki, Michael Naehrig, C. C. F. Pereira Geovandro, Gustavo Zanon
Subgroup security in pairing-based cryptography. IACR Cryptol. ePrint Arch. 2015 (2015)
Craig Costello, Patrick Longa
Fourℚ: Four-Dimensional Decompositions on a ℚ-curve over the Mersenne Prime. ASIACRYPT (1) (2015)
Craig Costello, Patrick Longa
FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime. IACR Cryptol. ePrint Arch. 2015 (2015)
Craig Costello, Cédric Fournet, Jon Howell, Markulf Kohlweiss, Benjamin Kreuter, Michael Naehrig, Bryan Parno, Samee Zahur
Geppetto: Versatile Verifiable Computation. IEEE Symposium on Security and Privacy (2015)
Joost Renes, Craig Costello, Lejla Batina
Complete addition formulas for prime order elliptic curves. IACR Cryptol. ePrint Arch. 2015 (2015)
Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila
Post-Quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem. IEEE Symposium on Security and Privacy (2015)
Craig Costello, Alyson Deines-Schartz, Kristin E. Lauter, Tonghai Yang
Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants. IACR Cryptol. ePrint Arch. 2014 (2014)
Craig Costello, Cédric Fournet, Jon Howell, Markulf Kohlweiss, Benjamin Kreuter, Michael Naehrig, Bryan Parno, Samee Zahur
Geppetto: Versatile Verifiable Computation. IACR Cryptol. ePrint Arch. 2014 (2014)
Hüseyin Hisil, Craig Costello
Jacobian Coordinates on Genus 2 Curves. ASIACRYPT (1) (2014)
Craig Costello, Hüseyin Hisil, Benjamin Smith
Faster Compact Diffie-Hellman: Endomorphisms on the x-line. EUROCRYPT (2014)
Joppe W. Bos, Craig Costello, Patrick Longa, Michael Naehrig
Selecting Elliptic Curves for Cryptography: An Efficiency and Security Analysis. IACR Cryptol. ePrint Arch. 2014 (2014)
Hüseyin Hisil, Craig Costello
Jacobian Coordinates on Genus 2 Curves. IACR Cryptol. ePrint Arch. 2014 (2014)
Craig Costello, Alyson Deines-Schartz, Kristin E. Lauter, Tonghai Yang
Constructing abelian surfaces for cryptography via Rosenhain invariants. LMS J. Comput. Math. 17 (Theory) (2014)
Joppe W. Bos, Craig Costello, Andrea Miele
Elliptic and Hyperelliptic Curves: A Practical Security Analysis. Public Key Cryptography (2014)
Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila
Post-quantum key exchange for the TLS protocol from the ring learning with errors problem. IACR Cryptol. ePrint Arch. 2014 (2014)
Craig Costello, Hüseyin Hisil, Benjamin Smith
Faster Compact Diffie-Hellman: Endomorphisms on the x-line. IACR Cryptol. ePrint Arch. 2013 (2013)
Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter
High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition. IACR Cryptol. ePrint Arch. 2013 (2013)
Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter
Fast Cryptography in Genus 2. EUROCRYPT (2013)
Joppe W. Bos, Craig Costello, Michael Naehrig
Exponentiating in Pairing Groups. Selected Areas in Cryptography (2013)
Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter
High-Performance Scalar Multiplication Using 8-Dimensional GLV/GLS Decomposition. CHES (2013)
Joppe W. Bos, Craig Costello, Michael Naehrig
Exponentiating in Pairing Groups. IACR Cryptol. ePrint Arch. 2013 (2013)
Joppe W. Bos, Craig Costello, Andrea Miele
Elliptic and Hyperelliptic Curves: a Practical Security Analysis. IACR Cryptol. ePrint Arch. 2013 (2013)
Craig Costello
Particularly Friendly Members of Family Trees. IACR Cryptol. ePrint Arch. 2012 (2012)
Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter
Two is Greater than One. IACR Cryptol. ePrint Arch. 2012 (2012)
Craig Costello, Kristin E. Lauter
Group Law Computations on Jacobians of Hyperelliptic Curves. IACR Cryptol. ePrint Arch. 2011 (2011)
Craig Costello, Kristin E. Lauter, Michael Naehrig
Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings. INDOCRYPT (2011)
Craig Costello, Kristin E. Lauter
Group Law Computations on Jacobians of Hyperelliptic Curves. Selected Areas in Cryptography (2011)
Craig Costello, Kristin E. Lauter, Michael Naehrig
Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings. IACR Cryptol. ePrint Arch. 2011 (2011)
Craig Costello, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
Delaying Mismatched Field Multiplications in Pairing Computations. IACR Cryptol. ePrint Arch. 2010 (2010)
Craig Costello, Douglas Stebila
Fixed Argument Pairings. IACR Cryptol. ePrint Arch. 2010 (2010)
Craig Costello, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
Delaying Mismatched Field Multiplications in Pairing Computations. WAIFI (2010)
Craig Costello, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
Avoiding Full Extension Field Arithmetic in Pairing Computations. IACR Cryptol. ePrint Arch. 2010 (2010)
Craig Costello, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
Avoiding Full Extension Field Arithmetic in Pairing Computations. AFRICACRYPT (2010)
Craig Costello, Tanja Lange, Michael Naehrig
Faster Pairing Computations on Curves with High-Degree Twists. Public Key Cryptography (2010)
Craig Costello, Douglas Stebila
Fixed Argument Pairings. LATINCRYPT (2010)
Craig Costello, Tanja Lange, Michael Naehrig
Faster Pairing Computations on Curves with High-Degree Twists. IACR Cryptol. ePrint Arch. 2009 (2009)
Craig Costello, Hüseyin Hisil, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
Faster Pairings on Special Weierstrass Curves. IACR Cryptol. ePrint Arch. 2009 (2009)
Craig Costello, Hüseyin Hisil, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong
Faster Pairings on Special Weierstrass Curves. Pairing (2009)