On cycles of pairing-friendly abelian varieties
Maria Corte-Real Santos, Craig Costello, Michael Naehrig
Advances in Cryptology - CRYPTO | August 2024
Craig Costello
Researcher
Publications
Publications by Year
-
-
Cryptographic Smooth Neighbors
Giacomo Bruno, Maria Corte-Real Santos, Craig Costello, Jonathan Komada Eriksen, Michael Meyer, Michael Naehrig, Bruno Sterner
Advances in Cryptology - ASIACRYPT | December 2023
-
Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem
Craig Costello, Michael Meyer, Michael Naehrig
EUROCRYPT 2021 | October 2021
Sieving for twin smooth integers with solutions to the Prouhet-Tarry-Escott problem
EUROCRYPT 2021 | May 2021
-
SuperSolver: accelerating the Delfs-Galbraith algorithm with fast subfield root detection
Maria Corte-Real Santos, Craig Costello, Jia Shi
December 2020
B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion
ASIACRYPT 2020 | December 2020
Improved Classical Cryptanalysis of SIKE in Practice
Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia
PKC 2020 | April 2020
The supersingular isogeny problem in genus 2 and beyond
Craig Costello, Benjamin Smith
PQCrypto 2020 | April 2020
Supersingular isogeny key exchange for beginners
SAC 2019 | January 2020
-
Computing supersingular isogenies on Kummer surfaces
Progress in Cryptology - ASIACRYPT 2018 | December 2018
-
A Simple and Compact Algorithm for SIDH with Arbitrary Degree Isogenies
Craig Costello, Huseyin Hisil
ASIACRYPT 2017 | November 2017
Montgomery curves and their arithmetic: The case of large characteristic fields
Journal of Cryptographic Engineering | March 2017, Vol 8: pp. 227-240
-
Efficient Compression of SIDH Public Keys
Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
EUROCRYPT 2017 | October 2016
Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE
Joppe Bos, Craig Costello, Leo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila
MSR-TR-2016-1137 | September 2016
ISBN: 978-1-4503-4139-4
23rd ACM Conference on Computer and Communications Security (CCS 2016), Vienna, Austria
Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
Craig Costello, Patrick Longa, Michael Naehrig
Advances in Cryptology - CRYPTO, 36th Annual International Conference on Cryptology, Santa Barbara | August 2016
SchnorrQ: Schnorr signatures on FourQ
July 2016
Complete addition formulas for prime order elliptic curves
Joost Renes, Craig Costello, Lejla Batina
Advances in Cryptology - EUROCRYPT, 35th International Conference on the Theory and Application of Cryptology and Information Security, Vienna, Austria, May 8 - 12, 2016, Springer, May 2016. | May 2016
-
FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime
Advances in Cryptology - ASIACRYPT, 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November 29 - December 3, 2015 | December 2015
Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes
Ping Ngai Chung, Craig Costello, Benjamin Smith
MSR-TR-2015-81 | October 2015
Subgroup Security in Pairing-Based Cryptography
Paulo S. L. M. Barreto, Craig Costello, Rafael Misoczki, Michael Naehrig, Geovandro C. C. F. Pereira, Gustavo Zanon
Progress in Cryptology - LATINCRYPT 2015 - 4th International Conference on Cryptology and Information Security in Latin America, Guadalajara, Mexico | August 2015
ISBN: 978-3-319-22173-1
Specification of Curve Selection and Supported Curve Parameters in MSR ECCLib
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-49 | June 2015
A brief discussion on selecting new elliptic curves
Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-46 | June 2015
Position paper presented at the NIST Workshop on Elliptic Curve Cryptography Standards (http://www.nist.gov/itl/csd/ct/ecc-workshop.cfm).
Geppetto: Versatile Verifiable Computation
Craig Costello, Cédric Fournet, Jon Howell, Markulf Kohlweiss, Benjamin Kreuter, Michael Naehrig, Bryan Parno, Samee Zahur
Proceedings of the IEEE Symposium on Security and Privacy | May 2015
Selecting Elliptic Curves for Cryptography: an Efficiency and Security Analysis
Joppe Bos, Michael Naehrig, Patrick Longa, Craig Costello
Journal of Cryptographic Engineering | May 2015
Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem
Joppe Bos, Craig Costello, Michael Naehrig, Douglas Stebila
Proceedings of the IEEE Symposium on Security and Privacy | March 2015
Selecting Elliptic Curves for Cryptography: An Efficiency and Security Analysis
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
Journal of Cryptographic Engineering | February 2015, Vol 6(4): pp. 259-286
-
Jacobian Coordinates on Genus 2 Curves
Huseyin Hisil, Craig Costello
ASIACRYPT 2014 | December 2014
Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants
Craig Costello, Alyson Deines-Schartz, Kristin Lauter, Tonghai Yang
London Mathematical Society Journal of Computational Mathematics | August 2014, Vol 17
Post-quantum key exchange for the TLS protocol from the ring learning with errors problem
Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila
MSR-TR-2014-107 | August 2014
Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants
Craig Costello, Kristin Lauter
MSR-TR-2014-78 | June 2014
Jacobian Coordinates on Genus 2 Curves
Huseyin Hisil, Craig Costello
MSR-TR-2014-76 | May 2014
Elliptic and Hyperelliptic Curves: a Practical Security Analysis
Joppe Bos, Craig Costello, Andrea Miele
Conference on Practice and Theory of Public-Key Cryptography (PKC) | January 2014
-
Elliptic and Hyperelliptic Curves: a Practical Security Analysis
Joppe Bos, Craig Costello
MSR-TR-2013-101 | October 2013
Faster Compact Diffie-Hellman: Endomorphisms on the x-line
Craig Costello, Huseyin Hisil, Benjamin Smith
MSR-TR-2013-113 | October 2013
Exponentiating in Pairing Groups
Joppe Bos, Craig Costello, Michael Naehrig
Selected Areas in Cryptography 2013 (SAC 2013) | August 2013
High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition
Joppe Bos, Craig Costello, Huseyin Hisil, Kristin Lauter
Workshop on Cryptographic Hardware and Embedded Systems - CHES 2013 | August 2013
Fast Cryptography in Genus 2
Joppe Bos, Craig Costello, Kristin Lauter
Eurocrypt 2013 | May 2013
High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition
Joppe Bos, Craig Costello, Huseyin Hisil, Kristin Lauter
MSR-TR-2013-29 | March 2013
-
Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings
Craig Costello, Kristin Lauter, Michael Naehrig
Progress in Cryptology - INDOCRYPT 2011, Lecture Notes in Computer Science 7107 | January 2011
Group Law Computations on Jacobians of Hyperelliptic Curves
Craig Costello, Kristin Lauter
Selected Areas in Cryptography | January 2011
Selected Areas in Cryptography
ISBN: 978-3-642-28495-3
-
Delaying Mismatched Field Multiplications in Pairing Computations
C. Costello, C. Boyd, J. M. González Nieto, K. Koon-Ho Wong, Craig Costello
WAIFI 2010 | July 2010
Fixed Argument Pairings
C. Costello, D. Stebila, Craig Costello
LATINCRYPT 2010 | July 2010
Avoiding Full Extension Field Arithmetic in Pairing Computations
C. Costello, C. Boyd, J. M. González Nieto, K. Koon-Ho Wong, Craig Costello
AFRICACRYPT 2010 | May 2010
Faster Pairing Computations on Curves with High-Degree Twists
Craig Costello, Tanja Lange, Michael Naehrig
Public Key Cryptography -- PKC 2010 | January 2010
-
Faster Pairings on Special Weierstrass Curves
C. Costello, H. Hisil, C. Boyd, J. M. González Nieto, K. Koon-Ho Wong, Craig Costello
Pairing 2009 | August 2009
Publications by Research Area
-
On cycles of pairing-friendly abelian varieties
Maria Corte-Real Santos, Craig Costello, Michael Naehrig
Advances in Cryptology - CRYPTO | August 2024
Cryptographic Smooth Neighbors
Giacomo Bruno, Maria Corte-Real Santos, Craig Costello, Jonathan Komada Eriksen, Michael Meyer, Michael Naehrig, Bruno Sterner
Advances in Cryptology - ASIACRYPT | December 2023
Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem
Craig Costello, Michael Meyer, Michael Naehrig
EUROCRYPT 2021 | October 2021
Sieving for twin smooth integers with solutions to the Prouhet-Tarry-Escott problem
EUROCRYPT 2021 | May 2021
SuperSolver: accelerating the Delfs-Galbraith algorithm with fast subfield root detection
Maria Corte-Real Santos, Craig Costello, Jia Shi
December 2020
B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion
ASIACRYPT 2020 | December 2020
Improved Classical Cryptanalysis of SIKE in Practice
Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia
PKC 2020 | April 2020
The supersingular isogeny problem in genus 2 and beyond
Craig Costello, Benjamin Smith
PQCrypto 2020 | April 2020
Supersingular isogeny key exchange for beginners
SAC 2019 | January 2020
A Simple and Compact Algorithm for SIDH with Arbitrary Degree Isogenies
Craig Costello, Huseyin Hisil
ASIACRYPT 2017 | November 2017
Montgomery curves and their arithmetic: The case of large characteristic fields
Journal of Cryptographic Engineering | March 2017, Vol 8: pp. 227-240
Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
Craig Costello, Patrick Longa, Michael Naehrig
Advances in Cryptology - CRYPTO, 36th Annual International Conference on Cryptology, Santa Barbara | August 2016
SchnorrQ: Schnorr signatures on FourQ
July 2016
Complete addition formulas for prime order elliptic curves
Joost Renes, Craig Costello, Lejla Batina
Advances in Cryptology - EUROCRYPT, 35th International Conference on the Theory and Application of Cryptology and Information Security, Vienna, Austria, May 8 - 12, 2016, Springer, May 2016. | May 2016
FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime
Advances in Cryptology - ASIACRYPT, 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November 29 - December 3, 2015 | December 2015
Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes
Ping Ngai Chung, Craig Costello, Benjamin Smith
MSR-TR-2015-81 | October 2015
Subgroup Security in Pairing-Based Cryptography
Paulo S. L. M. Barreto, Craig Costello, Rafael Misoczki, Michael Naehrig, Geovandro C. C. F. Pereira, Gustavo Zanon
Progress in Cryptology - LATINCRYPT 2015 - 4th International Conference on Cryptology and Information Security in Latin America, Guadalajara, Mexico | August 2015
ISBN: 978-3-319-22173-1
Specification of Curve Selection and Supported Curve Parameters in MSR ECCLib
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-49 | June 2015
A brief discussion on selecting new elliptic curves
Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-46 | June 2015
Position paper presented at the NIST Workshop on Elliptic Curve Cryptography Standards (http://www.nist.gov/itl/csd/ct/ecc-workshop.cfm).
Geppetto: Versatile Verifiable Computation
Craig Costello, Cédric Fournet, Jon Howell, Markulf Kohlweiss, Benjamin Kreuter, Michael Naehrig, Bryan Parno, Samee Zahur
Proceedings of the IEEE Symposium on Security and Privacy | May 2015
Selecting Elliptic Curves for Cryptography: an Efficiency and Security Analysis
Joppe Bos, Michael Naehrig, Patrick Longa, Craig Costello
Journal of Cryptographic Engineering | May 2015
Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem
Joppe Bos, Craig Costello, Michael Naehrig, Douglas Stebila
Proceedings of the IEEE Symposium on Security and Privacy | March 2015
Selecting Elliptic Curves for Cryptography: An Efficiency and Security Analysis
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
Journal of Cryptographic Engineering | February 2015, Vol 6(4): pp. 259-286
Jacobian Coordinates on Genus 2 Curves
Huseyin Hisil, Craig Costello
ASIACRYPT 2014 | December 2014
Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants
Craig Costello, Alyson Deines-Schartz, Kristin Lauter, Tonghai Yang
London Mathematical Society Journal of Computational Mathematics | August 2014, Vol 17
Post-quantum key exchange for the TLS protocol from the ring learning with errors problem
Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila
MSR-TR-2014-107 | August 2014
Jacobian Coordinates on Genus 2 Curves
Huseyin Hisil, Craig Costello
MSR-TR-2014-76 | May 2014
Elliptic and Hyperelliptic Curves: a Practical Security Analysis
Joppe Bos, Craig Costello, Andrea Miele
Conference on Practice and Theory of Public-Key Cryptography (PKC) | January 2014
Faster Compact Diffie-Hellman: Endomorphisms on the x-line
Craig Costello, Huseyin Hisil, Benjamin Smith
MSR-TR-2013-113 | October 2013
Elliptic and Hyperelliptic Curves: a Practical Security Analysis
Joppe Bos, Craig Costello
MSR-TR-2013-101 | October 2013
High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition
Joppe Bos, Craig Costello, Huseyin Hisil, Kristin Lauter
Workshop on Cryptographic Hardware and Embedded Systems - CHES 2013 | August 2013
Exponentiating in Pairing Groups
Joppe Bos, Craig Costello, Michael Naehrig
Selected Areas in Cryptography 2013 (SAC 2013) | August 2013
Fast Cryptography in Genus 2
Joppe Bos, Craig Costello, Kristin Lauter
Eurocrypt 2013 | May 2013
High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition
Joppe Bos, Craig Costello, Huseyin Hisil, Kristin Lauter
MSR-TR-2013-29 | March 2013
Group Law Computations on Jacobians of Hyperelliptic Curves
Craig Costello, Kristin Lauter
Selected Areas in Cryptography | January 2011
Selected Areas in Cryptography
ISBN: 978-3-642-28495-3
Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings
Craig Costello, Kristin Lauter, Michael Naehrig
Progress in Cryptology - INDOCRYPT 2011, Lecture Notes in Computer Science 7107 | January 2011
Delaying Mismatched Field Multiplications in Pairing Computations
C. Costello, C. Boyd, J. M. González Nieto, K. Koon-Ho Wong, Craig Costello
WAIFI 2010 | July 2010
Fixed Argument Pairings
C. Costello, D. Stebila, Craig Costello
LATINCRYPT 2010 | July 2010
Avoiding Full Extension Field Arithmetic in Pairing Computations
C. Costello, C. Boyd, J. M. González Nieto, K. Koon-Ho Wong, Craig Costello
AFRICACRYPT 2010 | May 2010
Faster Pairing Computations on Curves with High-Degree Twists
Craig Costello, Tanja Lange, Michael Naehrig
Public Key Cryptography -- PKC 2010 | January 2010
Faster Pairings on Special Weierstrass Curves
C. Costello, H. Hisil, C. Boyd, J. M. González Nieto, K. Koon-Ho Wong, Craig Costello
Pairing 2009 | August 2009
-
SuperSolver: accelerating the Delfs-Galbraith algorithm with fast subfield root detection
Maria Corte-Real Santos, Craig Costello, Jia Shi
December 2020
Computing supersingular isogenies on Kummer surfaces
Progress in Cryptology - ASIACRYPT 2018 | December 2018
Selecting Elliptic Curves for Cryptography: An Efficiency and Security Analysis
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
Journal of Cryptographic Engineering | February 2015, Vol 6(4): pp. 259-286
Elliptic and Hyperelliptic Curves: a Practical Security Analysis
Joppe Bos, Craig Costello, Andrea Miele
Conference on Practice and Theory of Public-Key Cryptography (PKC) | January 2014
Elliptic and Hyperelliptic Curves: a Practical Security Analysis
Joppe Bos, Craig Costello
MSR-TR-2013-101 | October 2013
-
Complete addition formulas for prime order elliptic curves
Joost Renes, Craig Costello, Lejla Batina
Advances in Cryptology - EUROCRYPT, 35th International Conference on the Theory and Application of Cryptology and Information Security, Vienna, Austria, May 8 - 12, 2016, Springer, May 2016. | May 2016
Selecting Elliptic Curves for Cryptography: an Efficiency and Security Analysis
Joppe Bos, Michael Naehrig, Patrick Longa, Craig Costello
Journal of Cryptographic Engineering | May 2015
Selecting Elliptic Curves for Cryptography: An Efficiency and Security Analysis
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
Journal of Cryptographic Engineering | February 2015, Vol 6(4): pp. 259-286
Jacobian Coordinates on Genus 2 Curves
Huseyin Hisil, Craig Costello
ASIACRYPT 2014 | December 2014
Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants
Craig Costello, Alyson Deines-Schartz, Kristin Lauter, Tonghai Yang
London Mathematical Society Journal of Computational Mathematics | August 2014, Vol 17
Post-quantum key exchange for the TLS protocol from the ring learning with errors problem
Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila
MSR-TR-2014-107 | August 2014
Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants
Craig Costello, Kristin Lauter
MSR-TR-2014-78 | June 2014
Jacobian Coordinates on Genus 2 Curves
Huseyin Hisil, Craig Costello
MSR-TR-2014-76 | May 2014
Elliptic and Hyperelliptic Curves: a Practical Security Analysis
Joppe Bos, Craig Costello, Andrea Miele
Conference on Practice and Theory of Public-Key Cryptography (PKC) | January 2014
-
Efficient Compression of SIDH Public Keys
Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
EUROCRYPT 2017 | October 2016
Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE
Joppe Bos, Craig Costello, Leo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila
MSR-TR-2016-1137 | September 2016
ISBN: 978-1-4503-4139-4
23rd ACM Conference on Computer and Communications Security (CCS 2016), Vienna, Austria
Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
Craig Costello, Patrick Longa, Michael Naehrig
Advances in Cryptology - CRYPTO, 36th Annual International Conference on Cryptology, Santa Barbara | August 2016
Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem
Joppe Bos, Craig Costello, Michael Naehrig, Douglas Stebila
Proceedings of the IEEE Symposium on Security and Privacy | March 2015
Post-quantum key exchange for the TLS protocol from the ring learning with errors problem
Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila
MSR-TR-2014-107 | August 2014
-
FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime
Advances in Cryptology - ASIACRYPT, 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November 29 - December 3, 2015 | December 2015
Publications by Type
-
On cycles of pairing-friendly abelian varieties
Maria Corte-Real Santos, Craig Costello, Michael Naehrig
Advances in Cryptology - CRYPTO | August 2024
Cryptographic Smooth Neighbors
Giacomo Bruno, Maria Corte-Real Santos, Craig Costello, Jonathan Komada Eriksen, Michael Meyer, Michael Naehrig, Bruno Sterner
Advances in Cryptology - ASIACRYPT | December 2023
Sieving for Twin Smooth Integers with Solutions to the Prouhet-Tarry-Escott Problem
Craig Costello, Michael Meyer, Michael Naehrig
EUROCRYPT 2021 | October 2021
Sieving for twin smooth integers with solutions to the Prouhet-Tarry-Escott problem
EUROCRYPT 2021 | May 2021
B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion
ASIACRYPT 2020 | December 2020
Improved Classical Cryptanalysis of SIKE in Practice
Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia
PKC 2020 | April 2020
The supersingular isogeny problem in genus 2 and beyond
Craig Costello, Benjamin Smith
PQCrypto 2020 | April 2020
Supersingular isogeny key exchange for beginners
SAC 2019 | January 2020
Computing supersingular isogenies on Kummer surfaces
Progress in Cryptology - ASIACRYPT 2018 | December 2018
A Simple and Compact Algorithm for SIDH with Arbitrary Degree Isogenies
Craig Costello, Huseyin Hisil
ASIACRYPT 2017 | November 2017
Efficient Compression of SIDH Public Keys
Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik
EUROCRYPT 2017 | October 2016
Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
Craig Costello, Patrick Longa, Michael Naehrig
Advances in Cryptology - CRYPTO, 36th Annual International Conference on Cryptology, Santa Barbara | August 2016
Complete addition formulas for prime order elliptic curves
Joost Renes, Craig Costello, Lejla Batina
Advances in Cryptology - EUROCRYPT, 35th International Conference on the Theory and Application of Cryptology and Information Security, Vienna, Austria, May 8 - 12, 2016, Springer, May 2016. | May 2016
FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime
Advances in Cryptology - ASIACRYPT, 21st International Conference on the Theory and Application of Cryptology and Information Security, Auckland, New Zealand, November 29 - December 3, 2015 | December 2015
Subgroup Security in Pairing-Based Cryptography
Paulo S. L. M. Barreto, Craig Costello, Rafael Misoczki, Michael Naehrig, Geovandro C. C. F. Pereira, Gustavo Zanon
Progress in Cryptology - LATINCRYPT 2015 - 4th International Conference on Cryptology and Information Security in Latin America, Guadalajara, Mexico | August 2015
ISBN: 978-3-319-22173-1
Geppetto: Versatile Verifiable Computation
Craig Costello, Cédric Fournet, Jon Howell, Markulf Kohlweiss, Benjamin Kreuter, Michael Naehrig, Bryan Parno, Samee Zahur
Proceedings of the IEEE Symposium on Security and Privacy | May 2015
Post-quantum Key Exchange for the TLS Protocol from the Ring Learning with Errors Problem
Joppe Bos, Craig Costello, Michael Naehrig, Douglas Stebila
Proceedings of the IEEE Symposium on Security and Privacy | March 2015
Jacobian Coordinates on Genus 2 Curves
Huseyin Hisil, Craig Costello
ASIACRYPT 2014 | December 2014
Elliptic and Hyperelliptic Curves: a Practical Security Analysis
Joppe Bos, Craig Costello, Andrea Miele
Conference on Practice and Theory of Public-Key Cryptography (PKC) | January 2014
High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition
Joppe Bos, Craig Costello, Huseyin Hisil, Kristin Lauter
Workshop on Cryptographic Hardware and Embedded Systems - CHES 2013 | August 2013
Exponentiating in Pairing Groups
Joppe Bos, Craig Costello, Michael Naehrig
Selected Areas in Cryptography 2013 (SAC 2013) | August 2013
Fast Cryptography in Genus 2
Joppe Bos, Craig Costello, Kristin Lauter
Eurocrypt 2013 | May 2013
Group Law Computations on Jacobians of Hyperelliptic Curves
Craig Costello, Kristin Lauter
Selected Areas in Cryptography | January 2011
Selected Areas in Cryptography
ISBN: 978-3-642-28495-3
Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings
Craig Costello, Kristin Lauter, Michael Naehrig
Progress in Cryptology - INDOCRYPT 2011, Lecture Notes in Computer Science 7107 | January 2011
Delaying Mismatched Field Multiplications in Pairing Computations
C. Costello, C. Boyd, J. M. González Nieto, K. Koon-Ho Wong, Craig Costello
WAIFI 2010 | July 2010
Fixed Argument Pairings
C. Costello, D. Stebila, Craig Costello
LATINCRYPT 2010 | July 2010
Avoiding Full Extension Field Arithmetic in Pairing Computations
C. Costello, C. Boyd, J. M. González Nieto, K. Koon-Ho Wong, Craig Costello
AFRICACRYPT 2010 | May 2010
Faster Pairing Computations on Curves with High-Degree Twists
Craig Costello, Tanja Lange, Michael Naehrig
Public Key Cryptography -- PKC 2010 | January 2010
Faster Pairings on Special Weierstrass Curves
C. Costello, H. Hisil, C. Boyd, J. M. González Nieto, K. Koon-Ho Wong, Craig Costello
Pairing 2009 | August 2009
-
-
Montgomery curves and their arithmetic: The case of large characteristic fields
Journal of Cryptographic Engineering | March 2017, Vol 8: pp. 227-240
Selecting Elliptic Curves for Cryptography: an Efficiency and Security Analysis
Joppe Bos, Michael Naehrig, Patrick Longa, Craig Costello
Journal of Cryptographic Engineering | May 2015
Selecting Elliptic Curves for Cryptography: An Efficiency and Security Analysis
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
Journal of Cryptographic Engineering | February 2015, Vol 6(4): pp. 259-286
Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants
Craig Costello, Alyson Deines-Schartz, Kristin Lauter, Tonghai Yang
London Mathematical Society Journal of Computational Mathematics | August 2014, Vol 17
-
Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE
Joppe Bos, Craig Costello, Leo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila
MSR-TR-2016-1137 | September 2016
ISBN: 978-1-4503-4139-4
23rd ACM Conference on Computer and Communications Security (CCS 2016), Vienna, Austria
Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes
Ping Ngai Chung, Craig Costello, Benjamin Smith
MSR-TR-2015-81 | October 2015
Specification of Curve Selection and Supported Curve Parameters in MSR ECCLib
Joppe Bos, Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-49 | June 2015
A brief discussion on selecting new elliptic curves
Craig Costello, Patrick Longa, Michael Naehrig
MSR-TR-2015-46 | June 2015
Position paper presented at the NIST Workshop on Elliptic Curve Cryptography Standards (http://www.nist.gov/itl/csd/ct/ecc-workshop.cfm).
Post-quantum key exchange for the TLS protocol from the ring learning with errors problem
Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila
MSR-TR-2014-107 | August 2014
Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants
Craig Costello, Kristin Lauter
MSR-TR-2014-78 | June 2014
Jacobian Coordinates on Genus 2 Curves
Huseyin Hisil, Craig Costello
MSR-TR-2014-76 | May 2014
Faster Compact Diffie-Hellman: Endomorphisms on the x-line
Craig Costello, Huseyin Hisil, Benjamin Smith
MSR-TR-2013-113 | October 2013
Elliptic and Hyperelliptic Curves: a Practical Security Analysis
Joppe Bos, Craig Costello
MSR-TR-2013-101 | October 2013
High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition
Joppe Bos, Craig Costello, Huseyin Hisil, Kristin Lauter
MSR-TR-2013-29 | March 2013
-