Edit Profile (opens in new tab) Lauter, Kristin Estella Compute Distance To: Compute Author ID: lauter.kristin-e Published as: Lauter, Kristin; Lauter, Kristin E. Homepage: https://www.microsoft.com/en-us/research/people/klauter/?from=https%3A%2F%2Frese... External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Documents Indexed: 81 Publications since 1996 10 Contributions as Editor · 1 Further Contribution Co-Authors: 104 Co-Authors with 82 Joint Publications 2,112 Co-Co-Authors all top 5 Co-Authors 8 single-authored 8 Bröker, Reinier 8 Naehrig, Michael 7 Goren, Eyal Z. 6 Eisenträger, Kirsten 6 Howe, Everett W. 5 Charles, Denis Xavier 5 Costello, Craig 5 Stange, Katherine E. 5 Viray, Bianca 4 Bos, Joppe W. 4 Montgomery, Peter Lawrence 4 Ozman, Ekin 4 Petit, Christophe 3 Lorenzo García, Elisa 3 Yang, Tonghai 2 Balakrishnan, Jennifer S. 2 Cheon, Jung Hee 2 Elias, Yara 2 Hallgren, Sean 2 Hisil, Huseyin 2 Ionica, Sorina 2 Jetchev, Dimitar P. 2 Kılıçer, Pınar 2 Laine, Kim 2 Massierer, Maike 2 Mityagin, Anton 2 Newton, Rachel 2 Serre, Jean-Pierre 2 Streng, Marco 2 Vincent, Christelle 1 Acar, Tolga 1 Agashe, Amod 1 Anderson, Jacqueline 1 Belding, Juliana V. 1 Benkart, Georgia M. 1 Bolkema, Jessalyn 1 Boneh, Dan 1 Bouw, Irene I. 1 Brasselet, Jean-Paul 1 Chambers, Erin Wolf 1 Ciet, Mathieu 1 Cojocaru, Alina Carmen 1 Cooley, Jenny 1 Costache, Anamaria 1 Deines-Schartz, Alyson 1 Enge, Andreas 1 Feigon, Brooke 1 Flournoy, Nancy 1 Glass, Darren B. 1 Gluesing-Luerssen, Heide 1 Graepel, Thore 1 Grigsby, Julia Elisenda 1 Gruenewald, David 1 Grundman, Helen G. 1 Johnson-Leung, Jennifer 1 Joye, Marc 1 Kelley, Christine A. 1 Kennedy, Gary 1 Kohel, David R. 1 Krashen, Daniel 1 LaMacchia, Brian A. 1 Lange, Tanja 1 Letzter, Gail 1 Lisoněk, Petr 1 Loftus, Jake 1 López-Alt, Adriana 1 Malmskog, Beth 1 Manes, Michelle 1 Mânzăţeanu, Adelina 1 Martin, Carla D. 1 McEwan, Lee J. 1 Melles, Caroline Grant 1 Morrison, Travis 1 Park, Jennifer 1 Pries, Rachel J. 1 Puskás, Anna 1 Quisquater, Jean-Jacques 1 Ribet, Kenneth Alan 1 Robert, Damien 1 Rodríguez-Henríquez, Francisco 1 Rosenthal, Joachim 1 Rötteler, Martin 1 Ryan, Kathleen 1 Salerno, Adriana 1 Savitt, David 1 Scheidler, Renate 1 Shang, Ning 1 Sharif, Shahed 1 Shumow, Daniel 1 Silverberg, Alice 1 Song, Yongsoo 1 Stein, William A. 1 Stevenhagen, Peter 1 Sutherland, Andrew V. 1 Svore, Krysta M. 1 Tibouchi, Mehdi 1 Tignol, Jean-Pierre 1 Top, Jaap 1 Trivisa, Konstantina 1 Venkatesan, Ramarathnam ...and 5 more Co-Authors all top 5 Serials 6 LMS Journal of Computation and Mathematics 5 Journal of Number Theory 4 Journal of Mathematical Cryptology 3 Annales de l’Institut Fourier 3 IMRN. International Mathematics Research Notices 3 Notices of the American Mathematical Society 2 Mathematics of Computation 2 Proceedings of the American Mathematical Society 2 Journal of Cryptology 2 Designs, Codes and Cryptography 2 Contemporary Mathematics 2 Lecture Notes in Computer Science 2 Algebra & Number Theory 2 Association for Women in Mathematics Series 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Journal of Algebra 1 Manuscripta Mathematica 1 Journal of Algebraic Geometry 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Fields Institute Communications 1 International Journal of Information and Coding Theory 1 Research in Number Theory 1 SIAM Journal on Applied Algebra and Geometry all top 5 Fields 56 Number theory (11-XX) 52 Algebraic geometry (14-XX) 41 Information and communication theory, circuits (94-XX) 10 General and overarching topics; collections (00-XX) 9 Computer science (68-XX) 4 Combinatorics (05-XX) 3 History and biography (01-XX) 2 Quantum theory (81-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 627 times in 421 Documents Cited by ▼ Year ▼ Cryptographic hash functions from expander graphs. Zbl 1166.94006Charles, Denis X.; Lauter, Kristin E.; Goren, Eyal Z. 66 2009 Stronger security of authenticated key exchange. Zbl 1138.94381LaMacchia, Brian; Lauter, Kristin; Mityagin, Anton 62 2007 Modular polynomials via isogeny volcanoes. Zbl 1267.11125Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V. 34 2012 Improved security for a ring-based fully homomorphic encryption scheme. Zbl 1317.94088Bos, Joppe W.; Lauter, Kristin; Loftus, Jake; Naehrig, Michael 27 2013 On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre 16 2014 The maximum or minimum number of rational points on genus three curves over finite fields. Zbl 1031.11038Lauter, Kristin; Serre, Jean-Pierre 16 2002 ML confidential: machine learning on encrypted data. Zbl 1293.68110Graepel, Thore; Lauter, Kristin; Naehrig, Michael 16 2013 Supersingular isogeny graphs and endomorphism rings: reductions and solutions. Zbl 1415.94426Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin; Morrison, Travis; Petit, Christophe 15 2018 A CRT algorithm for constructing genus 2 curves over finite fields. Zbl 1270.11060Eisenträger, Kirsten; Lauter, Kristin 15 2009 Computing Hilbert class polynomials. Zbl 1205.11139Belding, Juliana; Bröker, Reinier; Enge, Andreas; Lauter, Kristin 14 2008 Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields. Appendice by J. -P. Serre. Zbl 0982.14015Lauter, Kristin 14 2001 Class invariants for quartic CM fields. Zbl 1172.11018Goren, Eyal Z.; Lauter, Kristin E. 14 2007 Trading inversions for multiplications in elliptic curve cryptography. Zbl 1116.14026Ciet, Mathieu; Joye, Marc; Lauter, Kristin; Montgomery, Peter L. 13 2006 Provably weak instances of Ring-LWE. Zbl 1336.94046Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 13 2015 Weak instances of PLWE. Zbl 1336.94045Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin 12 2014 Full cryptanalysis of LPS and Morgenstern hash functions. Zbl 1180.68155Petit, Christophe; Lauter, Kristin; Quisquater, Jean-Jacques 12 2008 Fast elliptic curve arithmetic and improved Weil pairing evaluation. Zbl 1038.11079Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 11 2003 Security analysis of KEA authenticated key exchange protocol. Zbl 1151.94532Lauter, Kristin; Mityagin, Anton 11 2006 Explicit CM theory for level 2-structures on abelian surfaces. Zbl 1254.11060Bröker, Reinier; Gruenewald, David; Lauter, Kristin 10 2011 Genus 2 curves with complex multiplication. Zbl 1236.14033Goren, Eyal Z.; Lauter, Kristin E. 10 2012 Private computation on encrypted genomic data. Zbl 1378.94053Lauter, Kristin; López-Alt, Adriana; Naehrig, Michael 9 2015 On singular moduli for arbitrary discriminants. Zbl 1392.11088Lauter, Kristin; Viray, Bianca 9 2015 Improved upper bounds for the number of points on curves over finite fields. Zbl 1065.11043Howe, Everett W.; Lauter, Kristin E. 8 2003 Quantum resource estimates for computing elliptic curve discrete logarithms. Zbl 1380.81094Roetteler, Martin; Naehrig, Michael; Svore, Krysta M.; Lauter, Kristin 8 2017 Constructing genus-3 hyperelliptic Jacobians with CM. Zbl 1404.11085Balakrishnan, Jennifer S.; Ionica, Sorina; Lauter, Kristin; Vincent, Christelle 8 2016 Group law computations on Jacobians of hyperelliptic curves. Zbl 1292.94049Costello, Craig; Lauter, Kristin 8 2012 New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065Howe, Everett W.; Lauter, Kristin E. 7 2012 An arithmetic intersection formula for denominators of Igusa class polynomials. Zbl 1392.11033Lauter, Kristin; Viray, Bianca 7 2015 Fast cryptography in genus 2. Zbl 1306.94033Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin 7 2013 Computing modular polynomials. Zbl 1119.11030Charles, Denis; Lauter, Kristin 7 2005 Pointless curves of genus three and four. Zbl 1116.14010Howe, Everett W.; Lauter, Kristin E.; Top, Jaap 7 2005 Families of Ramanujan graphs and quaternion algebras. Zbl 1250.05057Charles, Denis X.; Goren, Eyal Z.; Lauter, Kristin E. 7 2009 Deligne-Lusztig curves as ray class fields. Zbl 0919.11076Lauter, Kristin 6 1999 Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter 6 2015 An analysis of affine coordinates for pairing computation. Zbl 1287.94079Lauter, Kristin; Montgomery, Peter L.; Naehrig, Michael 6 2010 Evaluating large degree isogenies and applications to pairing based cryptography. Zbl 1186.94428Bröker, Reinier; Charles, Denis; Lauter, Kristin 6 2008 Computing endomorphism rings of Jacobians of genus 2 curves over finite fields. Zbl 1151.14314Freeman, David; Lauter, Kristin 6 2008 Modular polynomials for genus 2. Zbl 1252.11051Bröker, Reinier; Lauter, Kristin 5 2009 Signatures for network coding. Zbl 1207.94050Charles, Denis; Jain, Kamal; Lauter, Kristin 5 2009 Ramanujan graphs in cryptography. Zbl 1457.94115Costache, Anamaria; Feigon, Brooke; Lauter, Kristin; Massierer, Maike; Puskás, Anna 5 2019 Computing genus 2 curves from invariants on the Hilbert moduli space. Zbl 1225.11084Lauter, Kristin; Yang, Tonghai 5 2011 Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. Zbl 1248.11043Howe, Everett W.; Lauter, Kristin E. 5 2007 Constructing abelian surfaces for cryptography via Rosenhain invariants. Zbl 1296.11067Costello, Craig; Deines-Schartz, Alyson; Lauter, Kristin; Yang, Tonghai 4 2014 Hilbert theta series and invariants of genus 2 curves. Zbl 1332.14031Lauter, Kristin; Naehrig, Michael; Yang, Tonghai 4 2016 Constructing elliptic curves with a known number of points over a prime field. Zbl 1102.11031Agashe, Amod; Lauter, Kristin; Venkatesan, Ramarathnam 4 2004 Non-existence of a curve over \(\mathbb F_3\) of genus 5 with 14 rational points. Zbl 0983.11036Lauter, Kristin 4 2000 The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences. Zbl 1256.94055Lauter, Kristin E.; Stange, Katherine E. 4 2009 Attacks on the search RLWE problem with small errors. Zbl 1417.94052Chen, Hao; Lauter, Kristin; Stange, Katherine E. 4 2017 A formula for constructing curves over finite fields with many rational points. Zbl 1044.11054Lauter, Kristin 3 1999 Time-memory trade-offs for index calculus in genus 3. Zbl 1370.94522Laine, Kim; Lauter, Kristin 3 2015 Selected areas in cryptography – SAC 2013. 20th international conference, Burnaby, BC, Canada, August 14–16, 2013. Revised selected papers. Zbl 1321.94008 3 2014 Improved Weil and Tate pairings for elliptic and hyperelliptic curves. Zbl 1116.11042Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 3 2004 Improved upper bounds for the number of rational points on algebraic curves over finite fields. Zbl 0948.11024Lauter, Kristin 3 1999 Ray class field constructions of curves over finite fields with many rational points. Zbl 0935.11022Lauter, Kristin 3 1996 Affine pairings on ARM. Zbl 1305.94032Acar, Tolga; Lauter, Kristin; Naehrig, Michael; Shumow, Daniel 3 2013 Attractive subfamilies of BLS curves for implementing high-security pairings. Zbl 1291.94071Costello, Craig; Lauter, Kristin; Naehrig, Michael 3 2011 Bad reduction of genus three curves with complex multiplication. Zbl 1397.11102Bouw, Irene; Cooley, Jenny; Lauter, Kristin; Lorenzo García, Elisa; Manes, Michelle; Newton, Rachel; Ozman, Ekin 3 2015 Abelian surfaces admitting an \((l,l)\)-endomorphism. Zbl 1316.14085Bröker, Reinier; Lauter, Kristin; Streng, Marco 2 2013 Zeta functions of curves over finite fields with many rational points. Zbl 1009.11049Lauter, Kristin 2 2000 The distance between superspecial abelian varieties with real multiplication. Zbl 1203.14047Goren, Eyal Z.; Lauter, Kristin E. 2 2009 Multiparty non-interactive key exchange and more from isogenies on elliptic curves. Zbl 1445.14043Boneh, Dan; Glass, Darren; Krashen, Daniel; Lauter, Kristin; Sharif, Shahed; Silverberg, Alice; Tibouchi, Mehdi; Zhandry, Mark 2 2020 Variations of the McEliece cryptosystem. Zbl 1391.94731Bolkema, Jessalyn; Gluesing-Luerssen, Heide; Kelley, Christine A.; Lauter, Kristin E.; Malmskog, Beth; Rosenthal, Joachim 2 2017 Evil primes and superspecial moduli. Zbl 1124.14042Goren, Eyal Z.; Lauter, Kristin E. 2 2006 Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields. Zbl 1277.11069Lauter, Kristin; Shang, Ning 2 2013 Fast cryptography in genus 2. Zbl 1351.94028Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin 2 2016 Explicit Heegner points: Kolyvagin’s conjecture and non-trivial elements in the Shafarevich-Tate group. Zbl 1228.11082Jetchev, Dimitar; Lauter, Kristin; Stein, William 2 2009 Evaluating Igusa functions. Zbl 1304.11030Bröker, Reinier; Lauter, Kristin 1 2014 Improved CRT algorithm for class polynomials in genus 2. Zbl 1344.11046Lauter, Kristin E.; Robert, Damien 1 2013 Computational arithmetic geometry. AMS special session, San Francisco, CA, USA, April 29–30, 2006. Zbl 1143.11002 1 2008 The equivalence of the geometric and algebraic group laws for Jacobians of genus 2 curves. Zbl 1051.14035Lauter, Kristin E. 1 2003 The maximum number of points on a curve of genus 4 over \({\mathbb F}_ 8\) is 25. With an appendix by Kristin Lauter. Zbl 1101.14026Savitt, David 1 2003 A bound on the primes of bad reduction for CM curves of genus \(3\). Zbl 07204745Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Newton, Rachel; Ozman, Ekin; Streng, Marco 1 2020 Modular invariants for genus 3 hyperelliptic curves. Zbl 1420.14063Ionica, Sorina; Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Mânzăţeanu, Adelina; Massierer, Maike; Vincent, Christelle 1 2019 Security considerations for Galois non-dual RLWE families. Zbl 1418.94037Chen, Hao; Lauter, Kristin; Stange, Katherine E. 1 2017 Computing the Cassels pairing on Kolyvagin classes in the Shafarevich-Tate group. Zbl 1186.94436Eisenträger, Kirsten; Jetchev, Dimitar; Lauter, Kristin 1 2008 Ring-LWE cryptography for the number theorist. Zbl 1371.11154Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 1 2016 Multiparty non-interactive key exchange and more from isogenies on elliptic curves. Zbl 1445.14043Boneh, Dan; Glass, Darren; Krashen, Daniel; Lauter, Kristin; Sharif, Shahed; Silverberg, Alice; Tibouchi, Mehdi; Zhandry, Mark 2 2020 A bound on the primes of bad reduction for CM curves of genus \(3\). Zbl 07204745Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Newton, Rachel; Ozman, Ekin; Streng, Marco 1 2020 Ramanujan graphs in cryptography. Zbl 1457.94115Costache, Anamaria; Feigon, Brooke; Lauter, Kristin; Massierer, Maike; Puskás, Anna 5 2019 Modular invariants for genus 3 hyperelliptic curves. Zbl 1420.14063Ionica, Sorina; Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Mânzăţeanu, Adelina; Massierer, Maike; Vincent, Christelle 1 2019 Supersingular isogeny graphs and endomorphism rings: reductions and solutions. Zbl 1415.94426Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin; Morrison, Travis; Petit, Christophe 15 2018 Quantum resource estimates for computing elliptic curve discrete logarithms. Zbl 1380.81094Roetteler, Martin; Naehrig, Michael; Svore, Krysta M.; Lauter, Kristin 8 2017 Attacks on the search RLWE problem with small errors. Zbl 1417.94052Chen, Hao; Lauter, Kristin; Stange, Katherine E. 4 2017 Variations of the McEliece cryptosystem. Zbl 1391.94731Bolkema, Jessalyn; Gluesing-Luerssen, Heide; Kelley, Christine A.; Lauter, Kristin E.; Malmskog, Beth; Rosenthal, Joachim 2 2017 Security considerations for Galois non-dual RLWE families. Zbl 1418.94037Chen, Hao; Lauter, Kristin; Stange, Katherine E. 1 2017 Constructing genus-3 hyperelliptic Jacobians with CM. Zbl 1404.11085Balakrishnan, Jennifer S.; Ionica, Sorina; Lauter, Kristin; Vincent, Christelle 8 2016 Hilbert theta series and invariants of genus 2 curves. Zbl 1332.14031Lauter, Kristin; Naehrig, Michael; Yang, Tonghai 4 2016 Fast cryptography in genus 2. Zbl 1351.94028Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin 2 2016 Ring-LWE cryptography for the number theorist. Zbl 1371.11154Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 1 2016 Provably weak instances of Ring-LWE. Zbl 1336.94046Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 13 2015 Private computation on encrypted genomic data. Zbl 1378.94053Lauter, Kristin; López-Alt, Adriana; Naehrig, Michael 9 2015 On singular moduli for arbitrary discriminants. Zbl 1392.11088Lauter, Kristin; Viray, Bianca 9 2015 An arithmetic intersection formula for denominators of Igusa class polynomials. Zbl 1392.11033Lauter, Kristin; Viray, Bianca 7 2015 Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter 6 2015 Time-memory trade-offs for index calculus in genus 3. Zbl 1370.94522Laine, Kim; Lauter, Kristin 3 2015 Bad reduction of genus three curves with complex multiplication. Zbl 1397.11102Bouw, Irene; Cooley, Jenny; Lauter, Kristin; Lorenzo García, Elisa; Manes, Michelle; Newton, Rachel; Ozman, Ekin 3 2015 On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre 16 2014 Weak instances of PLWE. Zbl 1336.94045Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin 12 2014 Constructing abelian surfaces for cryptography via Rosenhain invariants. Zbl 1296.11067Costello, Craig; Deines-Schartz, Alyson; Lauter, Kristin; Yang, Tonghai 4 2014 Selected areas in cryptography – SAC 2013. 20th international conference, Burnaby, BC, Canada, August 14–16, 2013. Revised selected papers. Zbl 1321.94008 3 2014 Evaluating Igusa functions. Zbl 1304.11030Bröker, Reinier; Lauter, Kristin 1 2014 Improved security for a ring-based fully homomorphic encryption scheme. Zbl 1317.94088Bos, Joppe W.; Lauter, Kristin; Loftus, Jake; Naehrig, Michael 27 2013 ML confidential: machine learning on encrypted data. Zbl 1293.68110Graepel, Thore; Lauter, Kristin; Naehrig, Michael 16 2013 Fast cryptography in genus 2. Zbl 1306.94033Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin 7 2013 Affine pairings on ARM. Zbl 1305.94032Acar, Tolga; Lauter, Kristin; Naehrig, Michael; Shumow, Daniel 3 2013 Abelian surfaces admitting an \((l,l)\)-endomorphism. Zbl 1316.14085Bröker, Reinier; Lauter, Kristin; Streng, Marco 2 2013 Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields. Zbl 1277.11069Lauter, Kristin; Shang, Ning 2 2013 Improved CRT algorithm for class polynomials in genus 2. Zbl 1344.11046Lauter, Kristin E.; Robert, Damien 1 2013 Modular polynomials via isogeny volcanoes. Zbl 1267.11125Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V. 34 2012 Genus 2 curves with complex multiplication. Zbl 1236.14033Goren, Eyal Z.; Lauter, Kristin E. 10 2012 Group law computations on Jacobians of hyperelliptic curves. Zbl 1292.94049Costello, Craig; Lauter, Kristin 8 2012 New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065Howe, Everett W.; Lauter, Kristin E. 7 2012 Explicit CM theory for level 2-structures on abelian surfaces. Zbl 1254.11060Bröker, Reinier; Gruenewald, David; Lauter, Kristin 10 2011 Computing genus 2 curves from invariants on the Hilbert moduli space. Zbl 1225.11084Lauter, Kristin; Yang, Tonghai 5 2011 Attractive subfamilies of BLS curves for implementing high-security pairings. Zbl 1291.94071Costello, Craig; Lauter, Kristin; Naehrig, Michael 3 2011 An analysis of affine coordinates for pairing computation. Zbl 1287.94079Lauter, Kristin; Montgomery, Peter L.; Naehrig, Michael 6 2010 Cryptographic hash functions from expander graphs. Zbl 1166.94006Charles, Denis X.; Lauter, Kristin E.; Goren, Eyal Z. 66 2009 A CRT algorithm for constructing genus 2 curves over finite fields. Zbl 1270.11060Eisenträger, Kirsten; Lauter, Kristin 15 2009 Families of Ramanujan graphs and quaternion algebras. Zbl 1250.05057Charles, Denis X.; Goren, Eyal Z.; Lauter, Kristin E. 7 2009 Modular polynomials for genus 2. Zbl 1252.11051Bröker, Reinier; Lauter, Kristin 5 2009 Signatures for network coding. Zbl 1207.94050Charles, Denis; Jain, Kamal; Lauter, Kristin 5 2009 The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences. Zbl 1256.94055Lauter, Kristin E.; Stange, Katherine E. 4 2009 The distance between superspecial abelian varieties with real multiplication. Zbl 1203.14047Goren, Eyal Z.; Lauter, Kristin E. 2 2009 Explicit Heegner points: Kolyvagin’s conjecture and non-trivial elements in the Shafarevich-Tate group. Zbl 1228.11082Jetchev, Dimitar; Lauter, Kristin; Stein, William 2 2009 Computing Hilbert class polynomials. Zbl 1205.11139Belding, Juliana; Bröker, Reinier; Enge, Andreas; Lauter, Kristin 14 2008 Full cryptanalysis of LPS and Morgenstern hash functions. Zbl 1180.68155Petit, Christophe; Lauter, Kristin; Quisquater, Jean-Jacques 12 2008 Evaluating large degree isogenies and applications to pairing based cryptography. Zbl 1186.94428Bröker, Reinier; Charles, Denis; Lauter, Kristin 6 2008 Computing endomorphism rings of Jacobians of genus 2 curves over finite fields. Zbl 1151.14314Freeman, David; Lauter, Kristin 6 2008 Computational arithmetic geometry. AMS special session, San Francisco, CA, USA, April 29–30, 2006. Zbl 1143.11002 1 2008 Computing the Cassels pairing on Kolyvagin classes in the Shafarevich-Tate group. Zbl 1186.94436Eisenträger, Kirsten; Jetchev, Dimitar; Lauter, Kristin 1 2008 Stronger security of authenticated key exchange. Zbl 1138.94381LaMacchia, Brian; Lauter, Kristin; Mityagin, Anton 62 2007 Class invariants for quartic CM fields. Zbl 1172.11018Goren, Eyal Z.; Lauter, Kristin E. 14 2007 Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. Zbl 1248.11043Howe, Everett W.; Lauter, Kristin E. 5 2007 Trading inversions for multiplications in elliptic curve cryptography. Zbl 1116.14026Ciet, Mathieu; Joye, Marc; Lauter, Kristin; Montgomery, Peter L. 13 2006 Security analysis of KEA authenticated key exchange protocol. Zbl 1151.94532Lauter, Kristin; Mityagin, Anton 11 2006 Evil primes and superspecial moduli. Zbl 1124.14042Goren, Eyal Z.; Lauter, Kristin E. 2 2006 Computing modular polynomials. Zbl 1119.11030Charles, Denis; Lauter, Kristin 7 2005 Pointless curves of genus three and four. Zbl 1116.14010Howe, Everett W.; Lauter, Kristin E.; Top, Jaap 7 2005 Constructing elliptic curves with a known number of points over a prime field. Zbl 1102.11031Agashe, Amod; Lauter, Kristin; Venkatesan, Ramarathnam 4 2004 Improved Weil and Tate pairings for elliptic and hyperelliptic curves. Zbl 1116.11042Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 3 2004 Fast elliptic curve arithmetic and improved Weil pairing evaluation. Zbl 1038.11079Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 11 2003 Improved upper bounds for the number of points on curves over finite fields. Zbl 1065.11043Howe, Everett W.; Lauter, Kristin E. 8 2003 The equivalence of the geometric and algebraic group laws for Jacobians of genus 2 curves. Zbl 1051.14035Lauter, Kristin E. 1 2003 The maximum number of points on a curve of genus 4 over \({\mathbb F}_ 8\) is 25. With an appendix by Kristin Lauter. Zbl 1101.14026Savitt, David 1 2003 The maximum or minimum number of rational points on genus three curves over finite fields. Zbl 1031.11038Lauter, Kristin; Serre, Jean-Pierre 16 2002 Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields. Appendice by J. -P. Serre. Zbl 0982.14015Lauter, Kristin 14 2001 Non-existence of a curve over \(\mathbb F_3\) of genus 5 with 14 rational points. Zbl 0983.11036Lauter, Kristin 4 2000 Zeta functions of curves over finite fields with many rational points. Zbl 1009.11049Lauter, Kristin 2 2000 Deligne-Lusztig curves as ray class fields. Zbl 0919.11076Lauter, Kristin 6 1999 A formula for constructing curves over finite fields with many rational points. Zbl 1044.11054Lauter, Kristin 3 1999 Improved upper bounds for the number of rational points on algebraic curves over finite fields. Zbl 0948.11024Lauter, Kristin 3 1999 Ray class field constructions of curves over finite fields with many rational points. Zbl 0935.11022Lauter, Kristin 3 1996 all cited Publications top 5 cited Publications all top 5 Cited by 723 Authors 25 Lauter, Kristin Estella 10 Petit, Christophe 10 Sutherland, Andrew V. 8 Stebila, Douglas 7 Howe, Everett W. 7 Streng, Marco 6 Castryck, Wouter 6 Costello, Craig 6 Stange, Katherine E. 6 Vercauteren, Frederik 6 Yang, Tonghai 6 Yao, David D. W. 5 Azarderakhsh, Reza 5 De Feo, Luca 5 Galbraith, Steven D. 5 Ionica, Sorina 5 Lorenzo García, Elisa 5 Ritzenthaler, Christophe 5 Robert, Damien 5 Yoneyama, Kazuki 4 Alawatugoda, Janaka 4 Boyd, Colin A. 4 Bröker, Reinier 4 Hisil, Huseyin 4 Kılıçer, Pınar 4 Kutas, Péter 4 Marseglia, Stefano 4 Menezes, Alfred J. 4 Miret, Josep M. 4 Mu, Yi 4 Sarkar, Palash 4 Schäge, Sven 4 Shaska, Tanush 4 Tsyganov, Andreĭ Vladimirovich 4 Van der Geer, Gerard 4 Yang, Guomin 4 Zaytsev, Alexey 3 Biasse, Jean-François 3 Bisson, Gaetan 3 Cremers, Cas J. F. 3 Enge, Andreas 3 Fontaine, Caroline 3 Fouotsa, Emmanuel 3 Fouotsa, Tako Boris 3 Fujioka, Atsushi 3 González Nieto, Juan Manuel 3 Goren, Eyal Z. 3 Iliashenko, Ilia 3 Jager, Tibor 3 Kawakita, Motoko Qiu 3 Kohel, David R. 3 Koziel, Brian 3 LeGrow, Jason Travis 3 Malmendier, Andreas 3 Martindale, Chloe 3 Moody, Dustin 3 Naehrig, Michael 3 Nart, Enric 3 Panny, Lorenz 3 Scholl, Travis 3 Shparlinski, Igor E. 3 Sijsling, Jeroen 3 Sirdey, Renaud 3 Susilo, Willy 3 Takashima, Katsuyuki 3 Thomé, Emmanuel 3 Ustaoglu, Berkant 3 Valera, Javier 3 Vincent, Christelle 2 Aalipour, Ghodratollah 2 Albrecht, Martin R. 2 Bajard, Jean-Claude 2 Bellare, Mihir 2 Bernstein, Daniel Julius 2 Bindel, Nina 2 Boneh, Dan 2 Bonnetain, Xavier 2 Bos, Joppe W. 2 Bruinier, Jan Hendrik 2 Canteaut, Anne 2 Carpov, Sergiu 2 Carter, Gary 2 Chen, Rongmao 2 Cheon, Jung Hee 2 Dawson, Edward 2 Deng, Yingpu 2 Doröz, Yarkın 2 Dose, Valerio 2 Dowling, Benjamin 2 Ducas, Léo 2 El Mrabet, Nadia 2 Eynard, Julien 2 Feltz, Michèle 2 Fieker, Claus 2 Fischlin, Marc 2 Fouque, Pierre-Alain 2 Giulietti, Massimo 2 Gu, Dawu 2 Günther, Felix 2 Guo, Fuchun ...and 623 more Authors all top 5 Cited in 97 Serials 26 Journal of Number Theory 21 Finite Fields and their Applications 19 Mathematics of Computation 19 Journal of Mathematical Cryptology 15 Designs, Codes and Cryptography 13 Journal of Cryptology 13 LMS Journal of Computation and Mathematics 10 Information Sciences 6 Applied Mathematics and Computation 6 Research in Number Theory 5 Annales de l’Institut Fourier 5 Transactions of the American Mathematical Society 5 Advances in Mathematics of Communications 4 Information Processing Letters 4 Compositio Mathematica 4 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 The Ramanujan Journal 3 Acta Arithmetica 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Algebra 3 Theoretical Computer Science 3 Applicable Algebra in Engineering, Communication and Computing 3 Experimental Mathematics 3 Prikladnaya Diskretnaya Matematika 2 Communications in Algebra 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Journal of Symbolic Computation 2 International Journal of Foundations of Computer Science 2 Journal de Théorie des Nombres de Bordeaux 2 Mathematical Problems in Engineering 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Journal of High Energy Physics 2 Quantum Information Processing 2 International Journal of Number Theory 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Albanian Journal of Mathematics 2 Cryptography and Communications 2 Science China. Information Sciences 2 Frontiers of Computer Science 2 JSIAM Letters 2 SIAM Journal on Applied Algebra and Geometry 2 Matematicheskie Voprosy Kriptografii 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Electronics Letters 1 IEEE Transactions on Information Theory 1 Linear and Multilinear Algebra 1 Mathematische Semesterberichte 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Computer and System Sciences 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 SIAM Journal on Computing 1 Chinese Annals of Mathematics. Series B 1 Algorithmica 1 Information and Computation 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 Machine Learning 1 Japan Journal of Industrial and Applied Mathematics 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Advances in Computational Mathematics 1 Documenta Mathematica 1 Soft Computing 1 Interdisciplinary Information Sciences (IIS) 1 Regular and Chaotic Dynamics 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Advances in Geometry 1 Foundations of Computational Mathematics 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics and Computing 1 Journal of Algebra and its Applications 1 Science in China. Series F 1 Algebra & Number Theory 1 Afrika Matematika 1 Computer Science Review 1 Journal of Mathematics 1 Research in the Mathematical Sciences 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Russian Journal of Nonlinear Dynamics all top 5 Cited in 22 Fields 230 Information and communication theory, circuits (94-XX) 197 Number theory (11-XX) 170 Algebraic geometry (14-XX) 70 Computer science (68-XX) 40 Quantum theory (81-XX) 14 Combinatorics (05-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Group theory and generalizations (20-XX) 5 Commutative algebra (13-XX) 3 Field theory and polynomials (12-XX) 3 Associative rings and algebras (16-XX) 3 Mechanics of particles and systems (70-XX) 2 Several complex variables and analytic spaces (32-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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