Ray Class Field Constructions of Curves over Finite Fields with Many Rational Points. - Kristin E. Lauter (ANTS, 1996)

Constructing elliptic curves with a given number of points over a finite field. - Amod Agashe; Kristin E. Lauter; Ramarathnam Venkatesan (IACR Cryptol. ePrint Arch., 2001)

An Efficient Procedure to Double and Add Points on an Elliptic Curve. - Kirsten Eisenträger; Kristin E. Lauter; Peter L. Montgomery (IACR Cryptol. ePrint Arch., 2002)

Fast Elliptic Curve Arithmetic and Improved Weil Pairing Evaluation. - Kirsten Eisenträger; Kristin E. Lauter; Peter L. Montgomery (CT-RSA, 2003)

Improved Weil and Tate pairings for elliptic and hyperelliptic curves. - Kirsten Eisenträger; Kristin E. Lauter; Peter L. Montgomery (IACR Cryptol. ePrint Arch., 2003)

The advantages of elliptic curve cryptography for wireless security. - Kristin E. Lauter (IEEE Wirel. Commun., 2004)

Security Analysis of KEA Authenticated Key Exchange Protocol. - Kristin E. Lauter; Anton Mityagin (IACR Cryptol. ePrint Arch., 2005)

Computing Modular Polynomials. - Denis Xavier Charles; Kristin E. Lauter (LMS J. Comput. Math., 2005)

Trading Inversions for Multiplications in Elliptic Curve Cryptography. - Mathieu Ciet; Marc Joye; Kristin E. Lauter; Peter L. Montgomery (Des. Codes Cryptogr., 2006)

Stronger Security of Authenticated Key Exchange. - Brian A. LaMacchia; Kristin E. Lauter; Anton Mityagin (IACR Cryptol. ePrint Arch., 2006)

Computing endomorphism rings of Jacobians of genus 2 curves over finite fields. - David Freeman 001; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2007)

Evaluating Large Degree Isogenies and Applications to Pairing Based Cryptography. - Reinier Bröker; Denis Xavier Charles; Kristin E. Lauter (Pairing, 2008)

Computing the Cassels Pairing on Kolyvagin Classes in the Shafarevich-Tate Group. - Kirsten Eisenträger; Dimitar Jetchev; Kristin E. Lauter (Pairing, 2008)

Full Cryptanalysis of LPS and Morgenstern Hash Functions. - Christophe Petit 001; Kristin E. Lauter; Jean-Jacques Quisquater (SCN, 2008)

Computing Hilbert Class Polynomials. - Juliana Belding; Reinier Bröker; Andreas Enge; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2008)

The Elliptic Curve Discrete Logarithm Problem and Equivalent Hard Problems for Elliptic Divisibility Sequences. - Kristin E. Lauter; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2008)

Full Cryptanalysis of LPS and Morgenstern Hash Function. - Christophe Petit 001; Kristin E. Lauter; Jean-Jacques Quisquater (IACR Cryptol. ePrint Arch., 2008)

Elliptic Curve Cryptography (ECC) Support for Public Key Cryptography for Initial Authentication in Kerberos (PKINIT). - Larry Zhu; Karthik Jaganathan; Kristin E. Lauter (RFC, 2008)

Patient controlled encryption: ensuring privacy of electronic medical records. - Josh Benaloh; Melissa Chase; Eric Horvitz; Kristin E. Lauter (CCSW, 2009)

Signatures for network coding. - Denis Xavier Charles; Kamal Jain; Kristin E. Lauter (Int. J. Inf. Coding Theory, 2009)

Cryptographic Hash Functions from Expander Graphs. - Denis Xavier Charles; Kristin E. Lauter; Eyal Z. Goren (J. Cryptol., 2009)

Modular Polynomials for Genus 2. - Reinier Bröker; Kristin E. Lauter (LMS J. Comput. Math., 2009)

Cryptographic Cloud Storage. - Seny Kamara; Kristin E. Lauter (Financial Cryptography Workshops, 2010)

Genus 2 Curves with Complex Multiplication. - Eyal Z. Goren; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2010)

An Analysis of Affine Coordinates for Pairing Computation. - Kristin E. Lauter; Peter L. Montgomery; Michael Naehrig (IACR Cryptol. ePrint Arch., 2010)

Computing genus 2 curves from invariants on the Hilbert moduli space. - Kristin E. Lauter; Tonghai Yang (IACR Cryptol. ePrint Arch., 2010)

Igusa Class Polynomials, Embedding of Quartic CM Fields, and Arithmetic Intersection Theory. - Helen G. Grundman; Jennifer Johnson-Leung; Kristin E. Lauter; Adriana Salerno; Bianca Viray; Erika Wittenborn (WIN - Women in Numbers, 2011)

Affine Pairings on ARM. - Tolga Acar; Kristin E. Lauter; Michael Naehrig; Daniel Shumow (IACR Cryptol. ePrint Arch., 2011)

An Anonymous Health Care System. - Melissa Chase; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2011)

Group Law Computations on Jacobians of Hyperelliptic Curves. - Craig Costello; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2011)

Attractive Subfamilies of BLS Curves for Implementing High-Security Pairings. - Craig Costello; Kristin E. Lauter; Michael Naehrig (IACR Cryptol. ePrint Arch., 2011)

A Gross-Zagier formula for quaternion algebras over totally real fields. - Eyal Z. Goren; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2011)

Can Homomorphic Encryption be Practical? - Kristin E. Lauter; Michael Naehrig; Vinod Vaikuntanathan (IACR Cryptol. ePrint Arch., 2011)

Practical applications of homomorphic encryption. - Kristin E. Lauter (CCSW, 2012)

Two is Greater than One. - Joppe W. Bos; Craig Costello; Hüseyin Hisil; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2012)

ML Confidential: Machine Learning on Encrypted Data. - Thore Graepel; Kristin E. Lauter; Michael Naehrig (IACR Cryptol. ePrint Arch., 2012)

Improved CRT Algorithm for Class Polynomials in Genus 2. - Kristin E. Lauter; Damien Robert 001 (IACR Cryptol. ePrint Arch., 2012)

An arithmetic intersection formula for denominators of Igusa class polynomials. - Kristin E. Lauter; Bianca Viray (IACR Cryptol. ePrint Arch., 2012)

Modular polynomials via isogeny volcanoes. - Reinier Bröker; Kristin E. Lauter; Andrew V. Sutherland (Math. Comput., 2012)

Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields. - Kristin E. Lauter; Ning Shang (Des. Codes Cryptogr., 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)

Improved Security for a Ring-Based Fully Homomorphic Encryption Scheme. - Joppe W. Bos; Kristin E. Lauter; Jake Loftus; Michael Naehrig (IACR Cryptol. ePrint Arch., 2013)

Crypto-Nets: Neural Networks over Encrypted Data. - Pengtao Xie; Misha Bilenko; Tom Finley; Ran Gilad-Bachrach; Kristin E. Lauter; Michael Naehrig (CoRR, 2014)

Weak Instances of PLWE. - Kirsten Eisenträger; Sean Hallgren; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2014)

On the quaternion ℓ-isogeny path problem. - David Kohel; Kristin E. Lauter; Christophe Petit 001; Jean-Pierre Tignol (IACR Cryptol. ePrint Arch., 2014)

Private predictive analysis on encrypted medical data. - Joppe W. Bos; Kristin E. Lauter; Michael Naehrig (J. Biomed. Informatics, 2014)

Constructing abelian surfaces for cryptography via Rosenhain invariants. - Craig Costello; Alyson Deines-Schartz; Kristin E. Lauter; Tonghai Yang (LMS J. Comput. Math., 2014)

On the quaternion -isogeny path problem. - David Kohel; Kristin E. Lauter; Christophe Petit 001; Jean-Pierre Tignol (LMS J. Comput. Math., 2014)

Evaluating Igusa functions. - Reinier Bröker; Kristin E. Lauter (Math. Comput., 2014)

Attacks on Search RLWE. - Hao Chen 030; Kristin E. Lauter; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2015)

Homomorphic Computation of Edit Distance. - Jung Hee Cheon; Miran Kim; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2015)

Provably weak instances of Ring-LWE. - Yara Elias; Kristin E. Lauter; Ekin Ozman; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2015)

Ring-LWE Cryptography for the Number Theorist. - Yara Elias; Kristin E. Lauter; Ekin Ozman; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2015)

Key Recovery for LWE in Polynomial Time. - Kim Laine; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2015)

Private Computation on Encrypted Genomic Data. - Kristin E. Lauter; Adriana López-Alt; Michael Naehrig (IACR Cryptol. ePrint Arch., 2015)

Time-memory trade-offs for index calculus in genus 3. - Kim Laine; Kristin E. Lauter (J. Math. Cryptol., 2015)

Genus-2 curves and Jacobians with a given number of points. - Reinier Bröker; Everett W. Howe; Kristin E. Lauter; Peter Stevenhagen (LMS J. Comput. Math., 2015)

Private genome analysis through homomorphic encryption. - Miran Kim; Kristin E. Lauter (BMC Medical Informatics Decis. Mak., 2015)

CryptoNets: Applying Neural Networks to Encrypted Data with High Throughput and Accuracy. - Ran Gilad-Bachrach; Nathan Dowlin; Kim Laine; Kristin E. Lauter; Michael Naehrig; John Wernsing (ICML, 2016)

Security Considerations for Galois Non-dual RLWE Families. - Hao Chen 030; Kristin E. Lauter; Katherine E. Stange (SAC, 2016)

HEALER: homomorphic computation of ExAct Logistic rEgRession for secure rare disease variants analysis in GWAS. - Shuang Wang 002; Yuchen Zhang; Wenrui Dai; Kristin E. Lauter; Miran Kim; Yuzhe Richard Tang; Hongkai Xiong; Xiaoqian Jiang (Bioinform., 2016)

Variations of the McEliece Cryptosystem. - Jessalyn Bolkema; Heide Gluesing-Luerssen; Christine A. Kelley; Kristin E. Lauter; Beth Malmskog; Joachim Rosenthal (CoRR, 2016)

Modern Cryptography and Security: An Inter-Community Dialogue (Dagstuhl Seminar 16051). - Kristin E. Lauter; Radu Sion; Nigel P. Smart (Dagstuhl Reports, 2016)

Vulnerable Galois RLWE Families and Improved Attacks. - Hao Chen 030; Kristin E. Lauter; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2016)

Secure Data Exchange: A Marketplace in the Cloud. - Ran Gilad-Bachrach; Kim Laine; Kristin E. Lauter; Peter Rindal; Mike Rosulek (IACR Cryptol. ePrint Arch., 2016)

Fast Cryptography in Genus 2. - Joppe W. Bos; Craig Costello; Hüseyin Hisil; Kristin E. Lauter (J. Cryptol., 2016)

Constructing genus-3 hyperelliptic Jacobians with CM. - Jennifer S. Balakrishnan; Sorina Ionica; Kristin E. Lauter; Christelle Vincent (LMS J. Comput. Math., 2016)

Privately Evaluating Decision Trees and Random Forests. - David J. Wu 001; Tony Feng; Michael Naehrig; Kristin E. Lauter (Proc. Priv. Enhancing Technol., 2016)

PRINCESS: Privacy-protecting Rare disease International Network Collaboration via Encryption through Software guard extensionS. - Feng Chen 016; Shuang Wang 002; Xiaoqian Jiang; Sijie Ding; Yao Lu 006; Jihoon Kim 001; Süleyman Cenk Sahinalp; Chisato Shimizu; Jane C. Burns; Victoria J. Wright; Eileen Png; Martin L. Hibberd; et al. (Bioinform., 2017)

Private Queries on Encrypted Genomic Data. - Gizem S. Çetin; Hao Chen 030; Kim Laine; Kristin E. Lauter; Peter Rindal; Yuhou Xia (IACR Cryptol. ePrint Arch., 2017)

Private Collaborative Neural Network Learning. - Melissa Chase; Ran Gilad-Bachrach; Kim Laine; Kristin E. Lauter; Peter Rindal (IACR Cryptol. ePrint Arch., 2017)

Cryptographic Pairings. - Kristin E. Lauter; Michael Naehrig (IACR Cryptol. ePrint Arch., 2017)

Hard and Easy Problems for Supersingular Isogeny Graphs. - Christophe Petit 001; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2017)

Quantum Resource Estimates for Computing Elliptic Curve Discrete Logarithms. - Martin Roetteler; Michael Naehrig; Krysta M. Svore; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2017)

Postquantum Cryptography - State of the Art. - Johannes Buchmann 001; Kristin E. Lauter; Michele Mosca (IEEE Secur. Priv., 2017)

Postquantum Opportunities: Lattices, Homomorphic Encryption, and Supersingular Isogeny Graphs. - Kristin E. Lauter (IEEE Secur. Priv., 2017)

Manual for Using Homomorphic Encryption for Bioinformatics. - Nathan Dowlin; Ran Gilad-Bachrach; Kim Laine; Kristin E. Lauter; Michael Naehrig; John Wernsing (Proc. IEEE, 2017)

Attacks on the Search RLWE Problem with Small Errors. - Hao Chen 030; Kristin E. Lauter; Katherine E. Stange (SIAM J. Appl. Algebra Geom., 2017)

CHET: Compiler and Runtime for Homomorphic Evaluation of Tensor Programs. - Roshan Dathathri; Olli Saarikivi; Hao Chen 030; Kim Laine; Kristin E. Lauter; Saeed Maleki; Madanlal Musuvathi; Todd Mytkowicz (CoRR, 2018)

Logistic regression over encrypted data from fully homomorphic encryption. - Hao Chen 030; Ran Gilad-Bachrach; Kyoohyung Han; Zhicong Huang; Amir Jalali; Kim Laine; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2018)

Ramanujan graphs in cryptography. - Anamaria Costache; Brooke Feigon; Kristin E. Lauter; Maike Massierer; Anna Puskás (IACR Cryptol. ePrint Arch., 2018)

Supersingular isogeny graphs and endomorphism rings: reductions and solutions. - Kirsten Eisenträger; Sean Hallgren; Kristin E. Lauter; Travis Morrison; Christophe Petit 001 (IACR Cryptol. ePrint Arch., 2018)

Secure Outsourced Matrix Computation and Application to Neural Networks. - Xiaoqian Jiang; Miran Kim; Kristin E. Lauter; Yongsoo Song (IACR Cryptol. ePrint Arch., 2018)

Postquantum Cryptography, Part 2. - Johannes Buchmann 001; Kristin E. Lauter; Michele Mosca (IEEE Secur. Priv., 2018)

ReDCrypt: Real-Time Privacy-Preserving Deep Learning Inference in Clouds Using FPGAs. - Bita Darvish Rouhani; Siam Umar Hussain; Kristin E. Lauter; Farinaz Koushanfar (ACM Trans. Reconfigurable Technol. Syst., 2018)

Supersingular isogeny graphs in cryptography. - Kristin E. Lauter; Christophe Petit 001 (BCC, 2019)

CHET: an optimizing compiler for fully-homomorphic neural-network inferencing. - Roshan Dathathri; Olli Saarikivi; Hao Chen 030; Kim Laine; Kristin E. Lauter; Saeed Maleki; Madanlal Musuvathi; Todd Mytkowicz (PLDI, 2019)

Toward Scalable Fully Homomorphic Encryption Through Light Trusted Computing Assistance. - Wenhao Wang 001; Yichen Jiang; Qintao Shen; Weihao Huang; Hao Chen 030; Shuang Wang 002; Xiaofeng Wang 006; Haixu Tang; Kai Chen 012; Kristin E. Lauter; Dongdai Lin (CoRR, 2019)

Homomorphic Encryption Standard. - Martin R. Albrecht; Melissa Chase; Hao Chen 030; Jintai Ding; Shafi Goldwasser; Sergey Gorbunov 001; Shai Halevi; Jeffrey Hoffstein; Kim Laine; Kristin E. Lauter; Satya Lokam; Daniele Micciancio; et al. (IACR Cryptol. ePrint Arch., 2019)

XONN: XNOR-based Oblivious Deep Neural Network Inference. - M. Sadegh Riazi; Mohammad Samragh; Hao Chen 030; Kim Laine; Kristin E. Lauter; Farinaz Koushanfar (IACR Cryptol. ePrint Arch., 2019)

Transparency Tools for Fairness in AI (Luskin). - Mingliang Chen; Aria Shahverdi; Sarah Anderson; Se Yong Park; Justin Zhang 004; Dana Dachman-Soled; Kristin E. Lauter; Min Wu 001 (CoRR, 2020)

Computing Blindfolded on Data Homomorphically Encrypted under Multiple Keys: An Extended Survey. - Asma Aloufi; Peizhao Hu; Yongsoo Song; Kristin E. Lauter (CoRR, 2020)

On the Concrete Security of LWE with Small Secret. - Hao Chen 030; Lynn Chua; Kristin E. Lauter; Yongsoo Song (IACR Cryptol. ePrint Arch., 2020)

Multiparty Non-Interactive Key Exchange and More From Isogenies on Elliptic Curves. - Dan Boneh; Darren B. Glass; Daniel Krashen; Kristin E. Lauter; Shahed Sharif; Alice Silverberg; Mehdi Tibouchi; Mark Zhandry (J. Math. Cryptol., 2020)

Preface to the First Annual MathCrypt Proceedings Volume. - Jung Hee Cheon; Kristin E. Lauter; Donggeon Yhee (J. Math. Cryptol., 2020)

HEAR: Human Action Recognition via Neural Networks on Homomorphically Encrypted Data. - Miran Kim; Xiaoqian Jiang; Kristin E. Lauter; Elkhan Ismayilzada; Shayan Shams (CoRR, 2021)

Explicit connections between supersingular isogeny graphs and Bruhat - Tits trees. - Laia Amorós; Annamaria Iezzi; Kristin E. Lauter; Chloe Martindale; Jana Sotáková (IACR Cryptol. ePrint Arch., 2021)

A Cryptographic Hash Function from Markoff Triples. - Elena Fuchs; Kristin E. Lauter; Matthew Litman; Austin Tran (IACR Cryptol. ePrint Arch., 2021)

Private AI: Machine Learning on Encrypted Data. - Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2021)

Editor's Preface for the Second Annual MathCrypt Proceedings Volume. - Jung Hee Cheon; Kristin E. Lauter; Yongsoo Song (J. Math. Cryptol., 2021)

Computing Blindfolded on Data Homomorphically Encrypted under Multiple Keys: A Survey. - Asma Aloufi; Peizhao Hu; Yongsoo Song; Kristin E. Lauter (ACM Comput. Surv., 2022)

Orienteering with one endomorphism. - Sarah Arpin; Mingjie Chen; Kristin E. Lauter; Renate Scheidler; Katherine E. Stange; Ha T. N. Tran (IACR Cryptol. ePrint Arch., 2022)

Orientations and cycles in supersingular isogeny graphs. - Sarah Arpin; Mingjie Chen; Kristin E. Lauter; Renate Scheidler; Katherine E. Stange; Ha T. N. Tran (IACR Cryptol. ePrint Arch., 2022)

Shorter quantum circuits. - Vadym Kliuchnikov; Kristin E. Lauter; Romy M. Minko; Christophe Petit 001; Adam Paetznick (IACR Cryptol. ePrint Arch., 2022)

SALSA: Attacking Lattice Cryptography with Transformers. - Emily Wenger; Mingjie Chen; François Charton; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2022)

SalsaPicante: A Machine Learning Attack on LWE with Binary Secrets. - Cathy Yuanchen Li; Jana Sotáková; Emily Wenger; Mohamed Malhou; Evrard Garcelon; François Charton; Kristin E. Lauter (CCS, 2023)

SALSA VERDE: a machine learning attack on LWE with sparse small secrets. - Cathy Yuanchen Li; Emily Wenger; Zeyuan Allen-Zhu; François Charton; Kristin E. Lauter (NeurIPS, 2023)

SALSA VERDE: a machine learning attack on Learning with Errors with sparse small secrets. - Cathy Yuanchen Li; Jana Sotáková; Emily Wenger; Zeyuan Allen-Zhu; François Charton; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2023)

SALSA PICANTE: a machine learning attack on LWE with binary secrets. - Cathy Yuanchen Li; Jana Sotáková; Emily Wenger; Mohamed Malhou; Evrard Garcelon; François Charton; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2023)

Adventures in Supersingularland. - Sarah Arpin; Catalina Camacho-Navarro; Kristin E. Lauter; Joelle Lim; Kristina Nelson; Travis Scholl; Jana Sotáková (Exp. Math., 2023)

Shorter quantum circuits via single-qubit gate approximation. - Vadym Kliuchnikov; Kristin E. Lauter; Romy M. Minko; Adam Paetznick; Christophe Petit 001 (Quantum, 2023)

Machine learning for modular multiplication. - Kristin E. Lauter; Cathy Yuanchen Li; Krystal Maughan; Rachel Newton; Megha Srivastava (CoRR, 2024)

Teaching Transformers Modular Arithmetic at Scale. - Eshika Saxena; Alberto Alfarano; Emily Wenger; Kristin E. Lauter (CoRR, 2024)

The cool and the cruel: separating hard parts of LWE secrets. - Niklas Nolte; Mohamed Malhou; Emily Wenger; Samuel Stevens 001; Cathy Yuanchen Li; François Charton; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2024)

SALSA FRESCA: Angular Embeddings and Pre-Training for ML Attacks on Learning With Errors. - Samuel Stevens 001; Emily Wenger; Cathy Yuanchen Li; Niklas Nolte; Eshika Saxena; François Charton; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2024)

Benchmarking Attacks on Learning with Errors. - Emily Wenger; Eshika Saxena; Mohamed Malhou; Ellie Thieu; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2024)

An Efficient Algorithm for Integer Lattice Reduction. - François Charton; Kristin E. Lauter; Cathy Yuanchen Li; Mark Tygert (SIAM J. Matrix Anal. Appl., 2024)

AI for Code-based Cryptography. - Mohamed Malhou; Ludovic Perret; Kristin E. Lauter (IACR Cryptol. ePrint Arch., 2025)