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Kohel, David R.

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Author ID: kohel.david-r Recent zbMATH articles by "Kohel, David R."
Published as: Kohel, David; Kohel, David R.; Kohel, D.
Documents Indexed: 36 Publications since 1999, including 5 Books

Publications by Year

Citations contained in zbMATH Open

24 Publications have been cited 160 times in 144 Documents Cited by Year
On exponential sums and group generators for elliptic curves over finite fields. Zbl 1032.11034
Kohel, David R.; Shparlinski, Igor E.
18
2000
The 2-adic CM method for genus 2 curves with application to cryptography. Zbl 1172.94576
Gaudry, P.; Houtmann, T.; Kohel, D.; Ritzenthaler, C.; Weng, A.
17
2006
Efficient scalar multiplication by isogeny decompositions. Zbl 1151.94506
Doche, Christophe; Icart, Thomas; Kohel, David R.
15
2006
Secret-sharing with a class of ternary codes. Zbl 0951.68029
Ding, Cunsheng; Kohel, David R.; Ling, San
15
2000
Counting points on genus 2 curves with real multiplication. Zbl 1227.94045
Gaudry, Pierrick; Kohel, David; Smith, Benjamin
10
2011
Split group codes. Zbl 1001.94050
Ding, Cunsheng; Kohel, David R.; Ling, San
9
2000
On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153
Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre
9
2014
Double-base number system for multi-scalar multiplications. Zbl 1239.94046
Doche, Christophe; Kohel, David R.; Sica, Francesco
7
2009
Classification of genus 3 curves in special strata of the moduli space. Zbl 1143.14304
Girard, Martine; Kohel, David R.
6
2006
Elementary 2-group character codes. Zbl 0998.94026
Ding, Cunsheng; Kohel, David; Ling, San
6
2000
Twisted Hessian curves. Zbl 1370.94487
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Kohel, David; Lange, Tanja
6
2015
Hecke module structure of quaternions. Zbl 1040.11044
Kohel, David R.
6
2001
Efficiently computable endomorphisms for hyperelliptic curves. Zbl 1143.14312
Kohel, David R.; Smith, Benjamin A.
5
2006
Efficient arithmetic on elliptic curves in characteristic 2. Zbl 1295.11072
Kohel, David
5
2012
Fundamental domains for Shimura curves. Zbl 1044.11052
Kohel, David R.; Verrill, Helena A.
5
2003
Higher-dimensional 3-adic CM construction. Zbl 1140.14042
Carls, Robert; Kohel, David; Lubicz, David
5
2008
The AGM-\(X_0(N)\) Heegner point lifting algorithm and elliptic curve point counting. Zbl 1205.11071
Kohel, David R.
4
2003
Addition law structure of elliptic curves. Zbl 1233.14023
Kohel, David
3
2011
Explicit sequence expansions. Zbl 1005.11064
Kohel, David; Ling, San; Xing, Chaoping
2
1999
Arithmetic of split Kummer surfaces: Montgomery endomorphism of Edwards products. Zbl 1272.14044
Kohel, David
2
2011
Component groups of quotients of \(J_0(N)\). Zbl 0984.11022
Kohel, David R.; Stein, William A.
2
2000
Twisted \({\mu}_4\)-normal form for elliptic curves. Zbl 1420.94082
Kohel, David
1
2017
The geometry of efficient arithmetic on elliptic curves. Zbl 1369.11041
Kohel, David
1
2015
Counting the number of points on affine diagonal curves. Zbl 0994.11025
Ding, Cunsheng; Kohel, David R.; Ling, San
1
2001
Twisted \({\mu}_4\)-normal form for elliptic curves. Zbl 1420.94082
Kohel, David
1
2017
Twisted Hessian curves. Zbl 1370.94487
Bernstein, Daniel J.; Chuengsatiansup, Chitchanok; Kohel, David; Lange, Tanja
6
2015
The geometry of efficient arithmetic on elliptic curves. Zbl 1369.11041
Kohel, David
1
2015
On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153
Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre
9
2014
Efficient arithmetic on elliptic curves in characteristic 2. Zbl 1295.11072
Kohel, David
5
2012
Counting points on genus 2 curves with real multiplication. Zbl 1227.94045
Gaudry, Pierrick; Kohel, David; Smith, Benjamin
10
2011
Addition law structure of elliptic curves. Zbl 1233.14023
Kohel, David
3
2011
Arithmetic of split Kummer surfaces: Montgomery endomorphism of Edwards products. Zbl 1272.14044
Kohel, David
2
2011
Double-base number system for multi-scalar multiplications. Zbl 1239.94046
Doche, Christophe; Kohel, David R.; Sica, Francesco
7
2009
Higher-dimensional 3-adic CM construction. Zbl 1140.14042
Carls, Robert; Kohel, David; Lubicz, David
5
2008
The 2-adic CM method for genus 2 curves with application to cryptography. Zbl 1172.94576
Gaudry, P.; Houtmann, T.; Kohel, D.; Ritzenthaler, C.; Weng, A.
17
2006
Efficient scalar multiplication by isogeny decompositions. Zbl 1151.94506
Doche, Christophe; Icart, Thomas; Kohel, David R.
15
2006
Classification of genus 3 curves in special strata of the moduli space. Zbl 1143.14304
Girard, Martine; Kohel, David R.
6
2006
Efficiently computable endomorphisms for hyperelliptic curves. Zbl 1143.14312
Kohel, David R.; Smith, Benjamin A.
5
2006
Fundamental domains for Shimura curves. Zbl 1044.11052
Kohel, David R.; Verrill, Helena A.
5
2003
The AGM-\(X_0(N)\) Heegner point lifting algorithm and elliptic curve point counting. Zbl 1205.11071
Kohel, David R.
4
2003
Hecke module structure of quaternions. Zbl 1040.11044
Kohel, David R.
6
2001
Counting the number of points on affine diagonal curves. Zbl 0994.11025
Ding, Cunsheng; Kohel, David R.; Ling, San
1
2001
On exponential sums and group generators for elliptic curves over finite fields. Zbl 1032.11034
Kohel, David R.; Shparlinski, Igor E.
18
2000
Secret-sharing with a class of ternary codes. Zbl 0951.68029
Ding, Cunsheng; Kohel, David R.; Ling, San
15
2000
Split group codes. Zbl 1001.94050
Ding, Cunsheng; Kohel, David R.; Ling, San
9
2000
Elementary 2-group character codes. Zbl 0998.94026
Ding, Cunsheng; Kohel, David; Ling, San
6
2000
Component groups of quotients of \(J_0(N)\). Zbl 0984.11022
Kohel, David R.; Stein, William A.
2
2000
Explicit sequence expansions. Zbl 1005.11064
Kohel, David; Ling, San; Xing, Chaoping
2
1999
all top 5

Cited by 222 Authors

7 Jitman, Somphong
7 Kohel, David R.
7 Lauter, Kristin Estella
6 Shparlinski, Igor E.
5 Costello, Craig
5 Streng, Marco
4 Fouotsa, Emmanuel
4 Galbraith, Steven D.
4 Hisil, Huseyin
4 Lubicz, David
4 Robert, Damien
3 Çalkavur, Selda
3 Diao, Oumar
3 Farashahi, Reza Rezaeian
3 Ling, San
3 Moody, Dustin
3 Sica, Francesco
3 Udomkavanich, Patanee
2 Abelard, Simon
2 Carls, Robert
2 Castryck, Wouter
2 Chen, Zhixiong
2 Choosuwan, Parinyawat
2 Ciss, Abdoul Aziz
2 dela Cruz, Romar B.
2 Ding, Cunsheng
2 Gaudry, Pierrick
2 Grebnev, S. V.
2 Jacobson, Michael John jun.
2 Kılıçer, Pınar
2 Kim, Taechan
2 La Guardia, Giuliano Gadioli
2 Lai, Hong
2 Li, Zhihui
2 Lorenzo García, Elisa
2 Mérai, László
2 Oyono, Roger
2 Petit, Christophe
2 Ritzenthaler, Christophe
2 Solé, Patrick
2 Sow, Djiby
2 Springer, Caleb
2 Stein, William A.
2 Tibouchi, Mehdi
2 Vercauteren, Frederik
2 Yang, Tonghai
1 Agashe, Amod
1 Ahmadi, Omran
1 Allouche, Jean-Paul Simon
1 Alparslan Gök, Sırma Zeynep
1 Arène, Christophe
1 Bakshi, Gurmeet K.
1 Bank, Efrat
1 Basso, Andrea
1 Batra, Sudhir
1 Behrens, Mark Joseph
1 Biasse, Jean-François
1 Blake, Ian F.
1 Boripan, Arunwan
1 Bos, Joppe W.
1 Bouyer, Florian
1 Bröker, Reinier
1 Brooks, Ernest Hunter
1 Camacho-Navarro, Catalina
1 Carter, Gary
1 Caruso, Xavier
1 Chatouh, Karima
1 Chevalier, Céline
1 Choe, Junyop
1 Chung, Ping Ngai
1 da Silva, João Paulo
1 Dahab, Ricardo
1 Dang, Thinh H.
1 Dawson, Edward
1 Decru, Thomas
1 Deines-Schartz, Alyson
1 Dimitrov, Vassil S.
1 Doche, Christophe
1 Dygin, D. M.
1 Eisenträger, Kirsten
1 El-Mahassni, Edwin D.
1 Elsenhans, Andreas-Stephan
1 Enge, Andreas
1 Ergün, Serap
1 Fan, Xinxin
1 Faugère, Jean-Charles
1 Fernández-Culma, Edison Alberto
1 Fieker, Claus
1 Flynn, Eugene Victor
1 Fouque, Pierre-Alain
1 Frey, Gerhard
1 Fu, Fangwei
1 Garefalakis, Theo
1 Gong, Guang
1 González-Jiménez, Enrique
1 Guenda, Kenza
1 Gulliver, Thomas Aaron
1 Gustavsen, Trond Stølen
1 Hagiwara, Manabu
1 Han, Guo-Niu
...and 122 more Authors
all top 5

Cited in 47 Serials

14 Journal of Number Theory
10 Finite Fields and their Applications
9 Designs, Codes and Cryptography
8 Mathematics of Computation
8 LMS Journal of Computation and Mathematics
5 Journal of Mathematical Cryptology
4 Information Processing Letters
4 Journal of Cryptology
4 Applicable Algebra in Engineering, Communication and Computing
4 Journal of Algebra, Combinatorics, Discrete Structures and Applications
3 Journal of Algebra
3 Journal de Théorie des Nombres de Bordeaux
3 Advances in Mathematics of Communications
3 Matematicheskie Voprosy Kriptografii
2 Discrete Mathematics
2 Proceedings of the American Mathematical Society
2 Journal of Symbolic Computation
2 Journal of Complexity
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 Journal of Applied Mathematics and Computing
2 Quantum Information Processing
2 European Journal of Pure and Applied Mathematics
2 Cryptography and Communications
2 Afrika Matematika
1 Discrete Applied Mathematics
1 Israel Journal of Mathematics
1 Canadian Journal of Mathematics
1 Compositio Mathematica
1 Information Sciences
1 Journal of Pure and Applied Algebra
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 European Journal of Combinatorics
1 Discrete & Computational Geometry
1 International Journal of Computer Mathematics
1 Experimental Mathematics
1 Computational and Applied Mathematics
1 The New York Journal of Mathematics
1 Mathematical Problems in Engineering
1 Foundations of Computational Mathematics
1 Mediterranean Journal of Mathematics
1 Journal of Industrial and Management Optimization
1 International Journal of Number Theory
1 European Journal of Mathematics
1 Research in Number Theory

Citations by Year