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Lauter, Kristin Estella

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Author ID: lauter.kristin-e Recent zbMATH articles by "Lauter, Kristin Estella"
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 · dblp · GND
Documents Indexed: 88 Publications since 1996, including 7 Books
all top 5

Co-Authors

9 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 Montgomery, Peter L.
4 Ozman, Ekin
4 Petit, Christophe
3 Bos, Joppe W.
3 Lorenzo García, Elisa
3 Yang, Tonghai
2 Balakrishnan, Jennifer S.
2 Chen, Hao
2 Cheon, Jung Hee
2 Elias, Yara
2 Hallgren, Sean
2 Hisil, Huseyin
2 Ionica, Sorina
2 Jetchev, Dimitar P.
2 Kılıçer, Pınar
2 Massierer, Maike
2 Mityagin, Anton
2 Newton, Rachel
2 Streng, Marco
2 Vincent, Christelle
1 Acar, Tolga
1 Agashe, Amod
1 Anderson, Jacqueline
1 Belding, Juliana V.
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 Freeman, David Mandell
1 Glass, Darren B.
1 Gluesing-Luerssen, Heide
1 Graepel, Thore
1 Grigsby, Julia Elisenda
1 Gruenewald, David
1 Grundman, Helen G.
1 Jain, Kamal Kumar
1 Johnson-Leung, Jennifer
1 Joye, Marc
1 Kelley, Christine A.
1 Kennedy, Gary
1 Kohel, David R.
1 Krashen, Daniel
1 Laine, Kim
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 Scheidler, Renate
1 Serre, Jean-Pierre
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
...and 5 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

71 Publications have been cited 500 times in 330 Documents Cited by Year
Cryptographic hash functions from expander graphs. Zbl 1166.94006
Charles, Denis X.; Lauter, Kristin E.; Goren, Eyal Z.
45
2009
Stronger security of authenticated key exchange. Zbl 1138.94381
LaMacchia, Brian; Lauter, Kristin; Mityagin, Anton
45
2007
Modular polynomials via isogeny volcanoes. Zbl 1267.11125
Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V.
26
2012
Improved security for a ring-based fully homomorphic encryption scheme. Zbl 1317.94088
Bos, Joppe W.; Lauter, Kristin; Loftus, Jake; Naehrig, Michael
18
2013
The maximum or minimum number of rational points on genus three curves over finite fields. Zbl 1031.11038
Lauter, Kristin; Serre, Jean-Pierre
15
2002
Computing Hilbert class polynomials. Zbl 1205.11139
Belding, Juliana; Bröker, Reinier; Enge, Andreas; Lauter, Kristin
14
2008
ML confidential: machine learning on encrypted data. Zbl 1293.68110
Graepel, Thore; Lauter, Kristin; Naehrig, Michael
13
2013
A CRT algorithm for constructing genus 2 curves over finite fields. Zbl 1270.11060
Eisenträger, Kirsten; Lauter, Kristin
13
2009
Class invariants for quartic CM fields. Zbl 1172.11018
Goren, Eyal Z.; Lauter, Kristin E.
13
2007
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 0982.14015
Lauter, Kristin
13
2001
Full cryptanalysis of LPS and Morgenstern hash functions. Zbl 1180.68155
Petit, Christophe; Lauter, Kristin; Quisquater, Jean-Jacques
12
2008
Trading inversions for multiplications in elliptic curve cryptography. Zbl 1116.14026
Ciet, Mathieu; Joye, Marc; Lauter, Kristin; Montgomery, Peter L.
12
2006
Fast elliptic curve arithmetic and improved Weil pairing evaluation. Zbl 1038.11079
Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L.
11
2003
Genus 2 curves with complex multiplication. Zbl 1236.14033
Goren, Eyal Z.; Lauter, Kristin E.
10
2012
Explicit CM theory for level 2-structures on abelian surfaces. Zbl 1254.11060
Bröker, Reinier; Gruenewald, David; Lauter, Kristin
10
2011
Supersingular isogeny graphs and endomorphism rings: reductions and solutions. Zbl 1415.94426
Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin; Morrison, Travis; Petit, Christophe
8
2018
Private computation on encrypted genomic data. Zbl 1378.94053
Lauter, Kristin; López-Alt, Adriana; Naehrig, Michael
8
2015
On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153
Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre
8
2014
Improved upper bounds for the number of points on curves over finite fields. Zbl 1065.11043
Howe, Everett W.; Lauter, Kristin E.
8
2003
Provably weak instances of Ring-LWE. Zbl 1336.94046
Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E.
7
2015
Weak instances of PLWE. Zbl 1336.94045
Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin
7
2014
Fast cryptography in genus 2. Zbl 1306.94033
Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin
7
2013
Group law computations on Jacobians of hyperelliptic curves. Zbl 1292.94049
Costello, Craig; Lauter, Kristin
7
2012
Security analysis of KEA authenticated key exchange protocol. Zbl 1151.94532
Lauter, Kristin; Mityagin, Anton
7
2006
Constructing genus-3 hyperelliptic Jacobians with CM. Zbl 1404.11085
Balakrishnan, Jennifer S.; Ionica, Sorina; Lauter, Kristin; Vincent, Christelle
6
2016
An arithmetic intersection formula for denominators of Igusa class polynomials. Zbl 1392.11033
Lauter, Kristin; Viray, Bianca
6
2015
Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086
Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter
6
2015
New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065
Howe, Everett W.; Lauter, Kristin E.
6
2012
An analysis of affine coordinates for pairing computation. Zbl 1287.94079
Lauter, Kristin; Montgomery, Peter L.; Naehrig, Michael
6
2010
Families of Ramanujan graphs and quaternion algebras. Zbl 1250.05057
Charles, Denis X.; Goren, Eyal Z.; Lauter, Kristin E.
6
2009
Evaluating large degree isogenies and applications to pairing based cryptography. Zbl 1186.94428
Bröker, Reinier; Charles, Denis; Lauter, Kristin
6
2008
Computing endomorphism rings of Jacobians of genus 2 curves over finite fields. Zbl 1151.14314
Freeman, David; Lauter, Kristin
6
2008
Pointless curves of genus three and four. Zbl 1116.14010
Howe, Everett W.; Lauter, Kristin E.; Top, Jaap
6
2005
Computing modular polynomials. Zbl 1119.11030
Charles, Denis; Lauter, Kristin
6
2005
On singular moduli for arbitrary discriminants. Zbl 1392.11088
Lauter, Kristin; Viray, Bianca
5
2015
Computing genus 2 curves from invariants on the Hilbert moduli space. Zbl 1225.11084
Lauter, Kristin; Yang, Tonghai
5
2011
Modular polynomials for genus 2. Zbl 1252.11051
Bröker, Reinier; Lauter, Kristin
5
2009
Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. Zbl 1248.11043
Howe, Everett W.; Lauter, Kristin E.
5
2007
Deligne-Lusztig curves as ray class fields. Zbl 0919.11076
Lauter, Kristin
5
1999
Ramanujan graphs in cryptography. Zbl 1457.94115
Costache, Anamaria; Feigon, Brooke; Lauter, Kristin; Massierer, Maike; Puskás, Anna
4
2019
Quantum resource estimates for computing elliptic curve discrete logarithms. Zbl 1380.81094
Roetteler, Martin; Naehrig, Michael; Svore, Krysta M.; Lauter, Kristin
4
2017
Hilbert theta series and invariants of genus 2 curves. Zbl 1332.14031
Lauter, Kristin; Naehrig, Michael; Yang, Tonghai
4
2016
Constructing abelian surfaces for cryptography via Rosenhain invariants. Zbl 1296.11067
Costello, Craig; Deines-Schartz, Alyson; Lauter, Kristin; Yang, Tonghai
4
2014
Signatures for network coding. Zbl 1207.94050
Charles, Denis; Jain, Kamal; Lauter, Kristin
4
2009
The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences. Zbl 1256.94055
Lauter, Kristin E.; Stange, Katherine E.
4
2009
Constructing elliptic curves with a known number of points over a prime field. Zbl 1102.11031
Agashe, Amod; Lauter, Kristin; Venkatesan, Ramarathnam
4
2004
Non-existence of a curve over \(\mathbb F_3\) of genus 5 with 14 rational points. Zbl 0983.11036
Lauter, Kristin
4
2000
Improved upper bounds for the number of rational points on algebraic curves over finite fields. Zbl 0948.11024
Lauter, Kristin
4
1999
Bad reduction of genus three curves with complex multiplication. Zbl 1397.11102
Bouw, Irene; Cooley, Jenny; Lauter, Kristin; Lorenzo García, Elisa; Manes, Michelle; Newton, Rachel; Ozman, Ekin
3
2015
Time-memory trade-offs for index calculus in genus 3. Zbl 1370.94522
Laine, Kim; Lauter, Kristin
3
2015
Affine pairings on ARM. Zbl 1305.94032
Acar, Tolga; Lauter, Kristin; Naehrig, Michael; Shumow, Daniel
3
2013
Improved Weil and Tate pairings for elliptic and hyperelliptic curves. Zbl 1116.11042
Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L.
3
2004
A formula for constructing curves over finite fields with many rational points. Zbl 1044.11054
Lauter, Kristin
3
1999
Ray class field constructions of curves over finite fields with many rational points. Zbl 0935.11022
Lauter, Kristin
3
1996
Variations of the McEliece cryptosystem. Zbl 1391.94731
Bolkema, Jessalyn; Gluesing-Luerssen, Heide; Kelley, Christine A.; Lauter, Kristin E.; Malmskog, Beth; Rosenthal, Joachim
2
2017
Selected areas in cryptography – SAC 2013. 20th international conference, Burnaby, BC, Canada, August 14–16, 2013. Revised selected papers. Zbl 1321.94008
Lange, Tanja (ed.); Lauter, Kristin (ed.); Lisoněk, Petr (ed.)
2
2014
Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields. Zbl 1277.11069
Lauter, Kristin; Shang, Ning
2
2013
The distance between superspecial abelian varieties with real multiplication. Zbl 1203.14047
Goren, Eyal Z.; Lauter, Kristin E.
2
2009
Explicit Heegner points: Kolyvagin’s conjecture and non-trivial elements in the Shafarevich-Tate group. Zbl 1228.11082
Jetchev, Dimitar; Lauter, Kristin; Stein, William
2
2009
Evil primes and superspecial moduli. Zbl 1124.14042
Goren, Eyal Z.; Lauter, Kristin E.
2
2006
Zeta functions of curves over finite fields with many rational points. Zbl 1009.11049
Lauter, Kristin
2
2000
Multiparty non-interactive key exchange and more from isogenies on elliptic curves. Zbl 1445.14043
Boneh, Dan; Glass, Darren; Krashen, Daniel; Lauter, Kristin; Sharif, Shahed; Silverberg, Alice; Tibouchi, Mehdi; Zhandry, Mark
1
2020
Attacks on the search RLWE problem with small errors. Zbl 1417.94052
Chen, Hao; Lauter, Kristin; Stange, Katherine E.
1
2017
Ring-LWE cryptography for the number theorist. Zbl 1371.11154
Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E.
1
2016
Evaluating Igusa functions. Zbl 1304.11030
Bröker, Reinier; Lauter, Kristin
1
2014
Improved CRT algorithm for class polynomials in genus 2. Zbl 1344.11046
Lauter, Kristin E.; Robert, Damien
1
2013
Abelian surfaces admitting an \((l,l)\)-endomorphism. Zbl 1316.14085
Bröker, Reinier; Lauter, Kristin; Streng, Marco
1
2013
Attractive subfamilies of BLS curves for implementing high-security pairings. Zbl 1291.94071
Costello, Craig; Lauter, Kristin; Naehrig, Michael
1
2011
Computing the Cassels pairing on Kolyvagin classes in the Shafarevich-Tate group. Zbl 1186.94436
Eisenträger, Kirsten; Jetchev, Dimitar; Lauter, Kristin
1
2008
Computational arithmetic geometry. AMS special session, San Francisco, CA, USA, April 29–30, 2006. Zbl 1143.11002
Lauter, Kristin E. (ed.); Ribet, Kenneth A. (ed.)
1
2008
The equivalence of the geometric and algebraic group laws for Jacobians of genus 2 curves. Zbl 1051.14035
Lauter, Kristin E.
1
2003
Multiparty non-interactive key exchange and more from isogenies on elliptic curves. Zbl 1445.14043
Boneh, Dan; Glass, Darren; Krashen, Daniel; Lauter, Kristin; Sharif, Shahed; Silverberg, Alice; Tibouchi, Mehdi; Zhandry, Mark
1
2020
Ramanujan graphs in cryptography. Zbl 1457.94115
Costache, Anamaria; Feigon, Brooke; Lauter, Kristin; Massierer, Maike; Puskás, Anna
4
2019
Supersingular isogeny graphs and endomorphism rings: reductions and solutions. Zbl 1415.94426
Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin; Morrison, Travis; Petit, Christophe
8
2018
Quantum resource estimates for computing elliptic curve discrete logarithms. Zbl 1380.81094
Roetteler, Martin; Naehrig, Michael; Svore, Krysta M.; Lauter, Kristin
4
2017
Variations of the McEliece cryptosystem. Zbl 1391.94731
Bolkema, Jessalyn; Gluesing-Luerssen, Heide; Kelley, Christine A.; Lauter, Kristin E.; Malmskog, Beth; Rosenthal, Joachim
2
2017
Attacks on the search RLWE problem with small errors. Zbl 1417.94052
Chen, Hao; Lauter, Kristin; Stange, Katherine E.
1
2017
Constructing genus-3 hyperelliptic Jacobians with CM. Zbl 1404.11085
Balakrishnan, Jennifer S.; Ionica, Sorina; Lauter, Kristin; Vincent, Christelle
6
2016
Hilbert theta series and invariants of genus 2 curves. Zbl 1332.14031
Lauter, Kristin; Naehrig, Michael; Yang, Tonghai
4
2016
Ring-LWE cryptography for the number theorist. Zbl 1371.11154
Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E.
1
2016
Private computation on encrypted genomic data. Zbl 1378.94053
Lauter, Kristin; López-Alt, Adriana; Naehrig, Michael
8
2015
Provably weak instances of Ring-LWE. Zbl 1336.94046
Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E.
7
2015
An arithmetic intersection formula for denominators of Igusa class polynomials. Zbl 1392.11033
Lauter, Kristin; Viray, Bianca
6
2015
Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086
Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter
6
2015
On singular moduli for arbitrary discriminants. Zbl 1392.11088
Lauter, Kristin; Viray, Bianca
5
2015
Bad reduction of genus three curves with complex multiplication. Zbl 1397.11102
Bouw, Irene; Cooley, Jenny; Lauter, Kristin; Lorenzo García, Elisa; Manes, Michelle; Newton, Rachel; Ozman, Ekin
3
2015
Time-memory trade-offs for index calculus in genus 3. Zbl 1370.94522
Laine, Kim; Lauter, Kristin
3
2015
On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153
Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre
8
2014
Weak instances of PLWE. Zbl 1336.94045
Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin
7
2014
Constructing abelian surfaces for cryptography via Rosenhain invariants. Zbl 1296.11067
Costello, 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
Lange, Tanja (ed.); Lauter, Kristin (ed.); Lisoněk, Petr (ed.)
2
2014
Evaluating Igusa functions. Zbl 1304.11030
Bröker, Reinier; Lauter, Kristin
1
2014
Improved security for a ring-based fully homomorphic encryption scheme. Zbl 1317.94088
Bos, Joppe W.; Lauter, Kristin; Loftus, Jake; Naehrig, Michael
18
2013
ML confidential: machine learning on encrypted data. Zbl 1293.68110
Graepel, Thore; Lauter, Kristin; Naehrig, Michael
13
2013
Fast cryptography in genus 2. Zbl 1306.94033
Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin
7
2013
Affine pairings on ARM. Zbl 1305.94032
Acar, Tolga; Lauter, Kristin; Naehrig, Michael; Shumow, Daniel
3
2013
Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields. Zbl 1277.11069
Lauter, Kristin; Shang, Ning
2
2013
Improved CRT algorithm for class polynomials in genus 2. Zbl 1344.11046
Lauter, Kristin E.; Robert, Damien
1
2013
Abelian surfaces admitting an \((l,l)\)-endomorphism. Zbl 1316.14085
Bröker, Reinier; Lauter, Kristin; Streng, Marco
1
2013
Modular polynomials via isogeny volcanoes. Zbl 1267.11125
Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V.
26
2012
Genus 2 curves with complex multiplication. Zbl 1236.14033
Goren, Eyal Z.; Lauter, Kristin E.
10
2012
Group law computations on Jacobians of hyperelliptic curves. Zbl 1292.94049
Costello, Craig; Lauter, Kristin
7
2012
New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065
Howe, Everett W.; Lauter, Kristin E.
6
2012
Explicit CM theory for level 2-structures on abelian surfaces. Zbl 1254.11060
Bröker, Reinier; Gruenewald, David; Lauter, Kristin
10
2011
Computing genus 2 curves from invariants on the Hilbert moduli space. Zbl 1225.11084
Lauter, Kristin; Yang, Tonghai
5
2011
Attractive subfamilies of BLS curves for implementing high-security pairings. Zbl 1291.94071
Costello, Craig; Lauter, Kristin; Naehrig, Michael
1
2011
An analysis of affine coordinates for pairing computation. Zbl 1287.94079
Lauter, Kristin; Montgomery, Peter L.; Naehrig, Michael
6
2010
Cryptographic hash functions from expander graphs. Zbl 1166.94006
Charles, Denis X.; Lauter, Kristin E.; Goren, Eyal Z.
45
2009
A CRT algorithm for constructing genus 2 curves over finite fields. Zbl 1270.11060
Eisenträger, Kirsten; Lauter, Kristin
13
2009
Families of Ramanujan graphs and quaternion algebras. Zbl 1250.05057
Charles, Denis X.; Goren, Eyal Z.; Lauter, Kristin E.
6
2009
Modular polynomials for genus 2. Zbl 1252.11051
Bröker, Reinier; Lauter, Kristin
5
2009
Signatures for network coding. Zbl 1207.94050
Charles, Denis; Jain, Kamal; Lauter, Kristin
4
2009
The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences. Zbl 1256.94055
Lauter, Kristin E.; Stange, Katherine E.
4
2009
The distance between superspecial abelian varieties with real multiplication. Zbl 1203.14047
Goren, Eyal Z.; Lauter, Kristin E.
2
2009
Explicit Heegner points: Kolyvagin’s conjecture and non-trivial elements in the Shafarevich-Tate group. Zbl 1228.11082
Jetchev, Dimitar; Lauter, Kristin; Stein, William
2
2009
Computing Hilbert class polynomials. Zbl 1205.11139
Belding, Juliana; Bröker, Reinier; Enge, Andreas; Lauter, Kristin
14
2008
Full cryptanalysis of LPS and Morgenstern hash functions. Zbl 1180.68155
Petit, Christophe; Lauter, Kristin; Quisquater, Jean-Jacques
12
2008
Evaluating large degree isogenies and applications to pairing based cryptography. Zbl 1186.94428
Bröker, Reinier; Charles, Denis; Lauter, Kristin
6
2008
Computing endomorphism rings of Jacobians of genus 2 curves over finite fields. Zbl 1151.14314
Freeman, David; Lauter, Kristin
6
2008
Computing the Cassels pairing on Kolyvagin classes in the Shafarevich-Tate group. Zbl 1186.94436
Eisenträger, Kirsten; Jetchev, Dimitar; Lauter, Kristin
1
2008
Computational arithmetic geometry. AMS special session, San Francisco, CA, USA, April 29–30, 2006. Zbl 1143.11002
Lauter, Kristin E. (ed.); Ribet, Kenneth A. (ed.)
1
2008
Stronger security of authenticated key exchange. Zbl 1138.94381
LaMacchia, Brian; Lauter, Kristin; Mityagin, Anton
45
2007
Class invariants for quartic CM fields. Zbl 1172.11018
Goren, Eyal Z.; Lauter, Kristin E.
13
2007
Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. Zbl 1248.11043
Howe, Everett W.; Lauter, Kristin E.
5
2007
Trading inversions for multiplications in elliptic curve cryptography. Zbl 1116.14026
Ciet, Mathieu; Joye, Marc; Lauter, Kristin; Montgomery, Peter L.
12
2006
Security analysis of KEA authenticated key exchange protocol. Zbl 1151.94532
Lauter, Kristin; Mityagin, Anton
7
2006
Evil primes and superspecial moduli. Zbl 1124.14042
Goren, Eyal Z.; Lauter, Kristin E.
2
2006
Pointless curves of genus three and four. Zbl 1116.14010
Howe, Everett W.; Lauter, Kristin E.; Top, Jaap
6
2005
Computing modular polynomials. Zbl 1119.11030
Charles, Denis; Lauter, Kristin
6
2005
Constructing elliptic curves with a known number of points over a prime field. Zbl 1102.11031
Agashe, Amod; Lauter, Kristin; Venkatesan, Ramarathnam
4
2004
Improved Weil and Tate pairings for elliptic and hyperelliptic curves. Zbl 1116.11042
Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L.
3
2004
Fast elliptic curve arithmetic and improved Weil pairing evaluation. Zbl 1038.11079
Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L.
11
2003
Improved upper bounds for the number of points on curves over finite fields. Zbl 1065.11043
Howe, Everett W.; Lauter, Kristin E.
8
2003
The equivalence of the geometric and algebraic group laws for Jacobians of genus 2 curves. Zbl 1051.14035
Lauter, Kristin E.
1
2003
The maximum or minimum number of rational points on genus three curves over finite fields. Zbl 1031.11038
Lauter, Kristin; Serre, Jean-Pierre
15
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 0982.14015
Lauter, Kristin
13
2001
Non-existence of a curve over \(\mathbb F_3\) of genus 5 with 14 rational points. Zbl 0983.11036
Lauter, Kristin
4
2000
Zeta functions of curves over finite fields with many rational points. Zbl 1009.11049
Lauter, Kristin
2
2000
Deligne-Lusztig curves as ray class fields. Zbl 0919.11076
Lauter, Kristin
5
1999
Improved upper bounds for the number of rational points on algebraic curves over finite fields. Zbl 0948.11024
Lauter, Kristin
4
1999
A formula for constructing curves over finite fields with many rational points. Zbl 1044.11054
Lauter, Kristin
3
1999
Ray class field constructions of curves over finite fields with many rational points. Zbl 0935.11022
Lauter, Kristin
3
1996
all top 5

Cited by 579 Authors

24 Lauter, Kristin Estella
10 Sutherland, Andrew V.
7 Streng, Marco
6 Howe, Everett W.
6 Petit, Christophe
6 Yang, Tonghai
5 Costello, Craig
5 Galbraith, Steven D.
5 Ionica, Sorina
5 Lorenzo García, Elisa
5 Stebila, Douglas
4 Boyd, Colin A.
4 Bröker, Reinier
4 Hisil, Huseyin
4 Kılıçer, Pınar
4 Menezes, Alfred J.
4 Miret, Josep M.
4 Mu, Yi
4 Ritzenthaler, Christophe
4 Robert, Damien
4 Shaska, Tanush
4 Tsyganov, Andreĭ Vladimirovich
4 Van der Geer, Gerard
4 Vercauteren, Frederik
4 Yang, Guomin
4 Yao, David D. W.
4 Yoneyama, Kazuki
4 Zaytsev, Alexey
3 Alawatugoda, Janaka
3 Biasse, Jean-François
3 Bisson, Gaetan
3 Castryck, Wouter
3 Cremers, Cas J. F.
3 Enge, Andreas
3 Fontaine, Caroline
3 Fujioka, Atsushi
3 González Nieto, Juan Manuel
3 Goren, Eyal Z.
3 Kawakita, Motoko Qiu
3 Kohel, David R.
3 Malmendier, Andreas
3 Naehrig, Michael
3 Nart, Enric
3 Sarkar, Palash
3 Shparlinski, Igor E.
3 Stange, Katherine E.
3 Susilo, Willy
3 Ustaoglu, Berkant
3 Valera, Javier
3 Vincent, Christelle
2 Albrecht, Martin R.
2 Bellare, Mihir
2 Bernstein, Daniel Julius
2 Boneh, Dan
2 Bos, Joppe W.
2 Bruinier, Jan Hendrik
2 Canteaut, Anne
2 Carpov, Sergiu
2 Carter, Gary
2 Chen, Rongmao
2 Dawson, Edward
2 De Feo, Luca
2 Doröz, Yarkın
2 Dose, Valerio
2 El Mrabet, Nadia
2 Feltz, Michèle
2 Fouotsa, Emmanuel
2 Giulietti, Massimo
2 Gu, Dawu
2 Guo, Fuchun
2 Huang, Hai
2 Iliashenko, Ilia
2 Jacobson, Michael John jun.
2 Jager, Tibor
2 Jetchev, Dimitar P.
2 Karemaker, Valentijn
2 Khathuria, Karan
2 Khleborodov, Denis
2 Kudo, Momonari
2 Laface, Antonio
2 Lee, Hyangsook
2 LeGrow, Jason T.
2 Lepoint, Tancrède
2 Lercier, Reynald
2 Li, Songsong
2 Li, Yingkun
2 Liang, Kaitai
2 Lim, Seongan
2 Lubicz, David
2 Ma, Xu
2 Marseglia, Stefano
2 Massierer, Maike
2 McGuire, Gary
2 Milio, Enea
2 Montanucci, Maria
2 Moody, Dustin
2 Naya-Plasencia, María
2 Ostafe, Alina
2 Ouyang, Yi
2 Ozman, Ekin
...and 479 more Authors
all top 5

Cited in 84 Serials

25 Journal of Number Theory
22 Finite Fields and their Applications
17 Mathematics of Computation
16 Journal of Mathematical Cryptology
13 Designs, Codes and Cryptography
13 LMS Journal of Computation and Mathematics
11 Journal of Cryptology
9 Information Sciences
5 Annales de l’Institut Fourier
5 Applied Mathematics and Computation
5 Research in Number Theory
4 Information Processing Letters
4 Compositio Mathematica
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 Advances in Mathematics of Communications
3 Acta Arithmetica
3 Functiones et Approximatio. Commentarii Mathematici
3 Journal of Algebra
3 Mathematische Zeitschrift
3 Applicable Algebra in Engineering, Communication and Computing
3 Experimental Mathematics
3 The Ramanujan Journal
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 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 Quantum Information Processing
2 Cryptography and Communications
2 Science China. Information Sciences
2 Frontiers of Computer Science
2 JSIAM Letters
2 Prikladnaya Diskretnaya Matematika
1 Computers & Mathematics with Applications
1 Discrete Applied Mathematics
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 Pure and Applied Algebra
1 Manuscripta Mathematica
1 Pacific Journal of Mathematics
1 SIAM Journal on Computing
1 Theoretical Computer Science
1 Statistics & Probability Letters
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 Japan Journal of Industrial and Applied Mathematics
1 Indagationes Mathematicae. New Series
1 Selecta Mathematica. New Series
1 Advances in Computational Mathematics
1 Documenta Mathematica
1 Soft Computing
1 Regular and Chaotic Dynamics
1 Communications in Contemporary Mathematics
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
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 International Journal of Number Theory
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Algebra & Number Theory
1 Albanian Journal of Mathematics
1 Afrika Matematika
1 Computer Science Review
1 Research in the Mathematical Sciences
1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
1 Nelineĭnaya Dinamika
1 SIAM Journal on Applied Algebra and Geometry

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