Craig Costello

According to our database, Craig Costello authored at least 44 papers between 2009 and 2024.

Collaborative distances:

• Dijkstra number of three.
• Erdős number of four.

2024

Efficient (3,3)-isogenies on fast Kummer surfaces.

Maria Corte-Real Santos, Craig Costello, Benjamin Smith

IACR Cryptol. ePrint Arch., 2024

Efficient (3, 3)-isogenies on fast Kummer surfaces.

Maria Corte-Real Santos, Craig Costello, Benjamin Smith

CoRR, 2024

2022

An algorithm for efficient detection of (N, N)-splittings and its application to the isogeny problem in dimension 2.

Maria Corte-Real Santos, Craig Costello, Sam Frengley

IACR Cryptol. ePrint Arch., 2022

Cryptographic Smooth Neighbors.

Giacomo Bruno, Maria Corte-Real Santos, Craig Costello, Jonathan Komada Eriksen, Michael Naehrig, Michael Meyer, Bruno Sterner

IACR Cryptol. ePrint Arch., 2022

Accelerating the Delfs-Galbraith Algorithm with Fast Subfield Root Detection.

Maria Corte-Real Santos, Craig Costello, Jia Shi

Proceedings of the Advances in Cryptology - CRYPTO 2022, 2022

2021

SuperSolver: accelerating the Delfs-Galbraith algorithm with fast subfield root detection.

Maria Corte-Real Santos, Craig Costello, Jia Shi

IACR Cryptol. ePrint Arch., 2021

The Case for SIKE: A Decade of the Supersingular Isogeny Problem.

Craig Costello

IACR Cryptol. ePrint Arch., 2021

2020

Sieving for twin smooth integers with solutions to the Prouhet-Tarry-Escott problem.

Craig Costello, Michael Meyer, Michael Naehrig

IACR Cryptol. ePrint Arch., 2020

Improved Classical Cryptanalysis of SIKE in Practice.

Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia

Proceedings of the Public-Key Cryptography - PKC 2020, 2020

2019

Improved Classical Cryptanalysis of the Computational Supersingular Isogeny Problem.

Craig Costello, Patrick Longa, Michael Naehrig, Joost Renes, Fernando Virdia

IACR Cryptol. ePrint Arch., 2019

Supersingular isogeny key exchange for beginners.

Craig Costello

IACR Cryptol. ePrint Arch., 2019

B-SIDH: supersingular isogeny Diffie-Hellman using twisted torsion.

Craig Costello

IACR Cryptol. ePrint Arch., 2019

The supersingular isogeny problem in genus 2 and beyond.

Craig Costello, Benjamin Smith

IACR Cryptol. ePrint Arch., 2019

2018

Montgomery curves and their arithmetic - The case of large characteristic fields.

Craig Costello, Benjamin Smith

J. Cryptogr. Eng., 2018

Computing supersingular isogenies on Kummer surfaces.

Craig Costello

IACR Cryptol. ePrint Arch., 2018

2017

Jacobian Coordinates on Genus 2 Curves.

Hüseyin Hisil, Craig Costello

J. Cryptol., 2017

A simple and compact algorithm for SIDH with arbitrary degree isogenies.

Craig Costello, Hüseyin Hisil

IACR Cryptol. ePrint Arch., 2017

Montgomery curves and their arithmetic.

Craig Costello, Benjamin Smith

CoRR, 2017

2016

Fast Cryptography in Genus 2.

Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter

J. Cryptol., 2016

Selecting elliptic curves for cryptography: an efficiency and security analysis.

Joppe W. Bos, Craig Costello, Patrick Longa, Michael Naehrig

J. Cryptogr. Eng., 2016

Efficient algorithms for supersingular isogeny Diffie-Hellman.

Craig Costello, Patrick Longa, Michael Naehrig

IACR Cryptol. ePrint Arch., 2016

Efficient compression of SIDH public keys.

Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes, David Urbanik

IACR Cryptol. ePrint Arch., 2016

Fast, uniform scalar multiplication for genus 2 Jacobians with fast Kummers.

Ping Ngai Chung, Craig Costello, Benjamin Smith

IACR Cryptol. ePrint Arch., 2016

Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE.

Joppe W. Bos, Craig Costello, Léo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan, Douglas Stebila

IACR Cryptol. ePrint Arch., 2016

2015

Complete addition formulas for prime order elliptic curves.

Joost Renes, Craig Costello, Lejla Batina

IACR Cryptol. ePrint Arch., 2015

FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime.

Craig Costello, Patrick Longa

IACR Cryptol. ePrint Arch., 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

IACR Cryptol. ePrint Arch., 2015

Subgroup security in pairing-based cryptography.

Paulo S. L. M. Barreto, Craig Costello, Rafael Misoczki, Michael Naehrig, C. C. F. Pereira Geovandro, Gustavo H. M. Zanon

IACR Cryptol. ePrint Arch., 2015

2014

Constructing abelian surfaces for cryptography via Rosenhain invariants.

Craig Costello, Alyson Deines-Schartz, Kristin E. Lauter, Tonghai Yang

LMS J. Comput. Math., 2014

Geppetto: Versatile Verifiable Computation.

Craig Costello, Cédric Fournet, Jon Howell, Markulf Kohlweiss, Benjamin Kreuter, Michael Naehrig, Bryan Parno, Samee Zahur

IACR Cryptol. ePrint Arch., 2014

Post-quantum key exchange for the TLS protocol from the ring learning with errors problem.

Joppe W. Bos, Craig Costello, Michael Naehrig, Douglas Stebila

IACR Cryptol. ePrint Arch., 2014

2013

Faster Compact Diffie-Hellman: Endomorphisms on the x-line.

Craig Costello, Hüseyin Hisil, Benjamin Smith

IACR Cryptol. ePrint Arch., 2013

Exponentiating in Pairing Groups.

Joppe W. Bos, Craig Costello, Michael Naehrig

IACR Cryptol. ePrint Arch., 2013

Elliptic and Hyperelliptic Curves: a Practical Security Analysis.

Joppe W. Bos, Craig Costello, Andrea Miele

IACR Cryptol. ePrint Arch., 2013

High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition.

Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter

IACR Cryptol. ePrint Arch., 2013

2012

Particularly Friendly Members of Family Trees.

Craig Costello

IACR Cryptol. ePrint Arch., 2012

Two is Greater than One.

Joppe W. Bos, Craig Costello, Hüseyin Hisil, Kristin E. Lauter

IACR Cryptol. ePrint Arch., 2012

2011

Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings.

Craig Costello, Kristin E. Lauter, Michael Naehrig

IACR Cryptol. ePrint Arch., 2011

Group Law Computations on Jacobians of Hyperelliptic Curves.

Craig Costello, Kristin E. Lauter

IACR Cryptol. ePrint Arch., 2011

2010

Fixed Argument Pairings.

Craig Costello, Douglas Stebila

IACR Cryptol. ePrint Arch., 2010

Delaying Mismatched Field Multiplications in Pairing Computations.

Craig Costello, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong

IACR Cryptol. ePrint Arch., 2010

Avoiding Full Extension Field Arithmetic in Pairing Computations.

Craig Costello, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong

IACR Cryptol. ePrint Arch., 2010

2009

Faster Pairing Computations on Curves with High-Degree Twists.

Craig Costello, Tanja Lange, Michael Naehrig

IACR Cryptol. ePrint Arch., 2009

Faster Pairings on Special Weierstrass Curves.

Craig Costello, Hüseyin Hisil, Colin Boyd, Juan Manuel González Nieto, Kenneth Koon-Ho Wong

IACR Cryptol. ePrint Arch., 2009