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[CS17] Craig Costello and Benjamin Smith. Montgomery curves and their arithmetic: the case of large characteristic fields. Special issue of Journal of Cryptographic Engineering in tribute to Peter L. Montgomery, 2017.
[CJL+17] Craig Costello, David Jao, Patrick Longa, Michael Naehrig, Joost Renes and David Urbanik. Efficient compression of SIDH public keys. EUROCRYPT 2017.
[BCD+16] Joppe Bos, Craig Costello, Léo Ducas, Ilya Mironov, Michael Naehrig, Valeria Nikolaenko, Ananth Raghunathan and Douglas Stebila. Frodo: Take off the ring! Practical, Quantum-Secure Key Exchange from LWE. ACM CCS 2016.
[CLN16] Craig Costello, Patrick Longa and Michael Naehrig. Efficient algorithms for supersingular isogeny Diffie-Hellman. CRYPTO 2016. (Code).
[RCB16] Joost Renes, Craig Costello and Lejla Batina. Complete addition formulas for prime order elliptic curves. EUROCRYPT 2016.
[CCS16] Ping Ngai Chung, Craig Costello and Benjamin Smith. Fast, uniform, and compact scalar multiplication for elliptic curves and genus 2 Jacobians with applications to signature schemes. SAC 2016.
[CL15] Craig Costello and Patrick Longa. FourQ: four-dimensional decompositions on a Q-curve over the Mersenne prime. ASIACRYPT 2015. (Code)
[BCM+15] Paulo S. L. M. Barreto, Craig Costello, Rafael Misoczki, Michael Naehrig, Geovandro C. C. F. Pereira and Gustavo Zanon. Subgroup security in pairing-based cryptography. LATINCRYPT 2015.
[CFH+15] Craig Costello, Cedric Fournet, Jon Howell, Markulf Kohlweiss, Benjamin Kreuter, Michael Naehrig, Bryan Parno, and Samee Zahur. Gepetto: Versatile Verifiable Computation. IEEE S&P2015.
[BCNS15] Joppe W. Bos, Craig Costello, Michael Naehrig, and Douglas Stebila. Post-quantum key exchange for the TLS protocol from the ring learning with errors problem. IEEE S&P2015. (Code)
[BCLN15] Joppe W. Bos, Craig Costello, Patrick Longa, and Michael Naehrig. Selecting Elliptic Curves for Cryptography: An Efficiency and Security Analysis. Journal of Cryptographic Engineering, 2015. (Code)
[HC14] Huseyin Hisil and Craig Costello. Jacobian Coordinates on Genus 2 Curves. ASIACRYPT 2014 and Journal of Cryptology. (Code, more code)
[CDLY14] Craig Costello, Alyson Deines-Schartz, Kristin Lauter, and Tonghai Yang. Constructing Abelian Surfaces for Cryptography via Rosenhain Invariants. ANTS 2014.
[CHS14] Craig Costello, Huseyin Hisil, and Benjamin Smith. Faster Compact Diffie-Hellman: Endomorphisms on the x-line. EUROCRYPT 2014. (Code, more code)
[BCM14] Joppe W. Bos, Craig Costello, and Andrea Miele. Elliptic and Hyperelliptic Curves: a Practical Security Analysis. PKC 2014.
[BCN13] Joppe W. Bos, Craig Costello, and Michael Naehrig. Exponentiating in Pairing Groups. SAC 2013.
[BCHL13b] Joppe W. Bos, Craig Costello, Huseyin Hisil and Kristin Lauter. High-Performance Scalar Multiplication using 8-Dimensional GLV/GLS Decomposition. CHES 2013.
[BCHL13a] Joppe W. Bos, Craig Costello, Huseyin Hisil and Kristin Lauter. Fast Cryptography in Genus 2. EUROCRYPT 2014 and the Journal of Cryptology. (Code, more code)
[C12] Craig Costello. Fast formulas for computing cryptographic pairings. Ph.D. thesis.
[CLN11] Craig Costello, Kristin Lauter, and Michael Naehrig. Attractive subfamilies of BLS Curves for Implementing High-Security Pairings. INDOCRYPT 2011.
[CL11] Craig Costello and Kristin Lauter. Group Law Computations on Jacobians of Hyperelliptic Curves. SAC 2011.
[CS10] Craig Costello and Douglas Stebila. Fixed Argument Pairings. LATINCRYPT 2010.
[CBGW10b] Craig Costello, Colin Boyd, Juan Manuel Gonzalez Nieto, and Kenneth Koon-Ho Wong. Delaying mismatched field multiplications in pairing computations. WAIFI 2010.
[CBGW10a] Craig Costello, Colin Boyd, Juanma Gonzalez-Nieto, and Kenneth Koon-Ho Wong. Avoiding full extension field arithmetic in pairing computations. AFRICACRYPT 2010.
[CLN10] Craig Costello, Tanja Lange, and Michael Naehrig. Faster pairing computations on curves with high-degree twists. PKC 2010.
[CHBGW09] Craig Costello, Huseyin Hisil, Colin Boyd, Juan Manuel Gonzalez Nieto, and Kenneth Koon-Ho Wong. Faster pairings on special Weierstrass curves. PAIRING 2009.