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Author ID: lercier.reynald Recent zbMATH articles by "Lercier, Reynald"
Published as: Lercier, Reynald; Lercier, R.
Documents Indexed: 33 Publications since 1995, including 1 Book
Co-Authors: 25 Co-Authors with 32 Joint Publications
561 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 223 times in 150 Documents Cited by Year
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088
Lercier, Reynald; Ritzenthaler, Christophe
23
2012
Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the Gaussian integer method. Zbl 1099.11074
Joux, Antoine; Lercier, Reynald
23
2003
The number field sieve in the medium prime case. Zbl 1161.11417
Joux, Antoine; Lercier, Reynald; Smart, Nigel; Vercauteren, Frederik
21
2006
Elliptic periods for finite fields. Zbl 1216.11106
Couveignes, Jean-Marc; Lercier, Reynald
14
2009
The function field sieve in the medium prime case. Zbl 1140.94349
Joux, Antoine; Lercier, Reynald
14
2006
The function field sieve is quite special. Zbl 1057.11069
Joux, Antoine; Lercier, Reynald
11
2002
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
10
2016
Encoding points on hyperelliptic curves over finite fields in deterministic polynomial time. Zbl 1290.94100
Kammerer, Jean-Gabriel; Lercier, Reynald; Renault, Guénaël
8
2010
Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. Zbl 1344.11049
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
8
2013
Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051
Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco
8
2018
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. Zbl 1333.14060
Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen
8
2014
A quasi quadratic time algorithm for hyperelliptic curve point counting. Zbl 1166.11021
Lercier, Reynald; Lubicz, David
7
2006
Computing isogenies in \(\mathbb{F}_{2^n}\). Zbl 0911.11029
Lercier, Reynald
7
1996
On Elkies subgroups of \(\ell\)-torsion points in elliptic curves defined over a finite field. Zbl 1230.11080
Lercier, Reynald; Sirvent, Thomas
6
2008
Counting the number of points on elliptic curves over finite fields: strategies and performances. Zbl 0903.11029
Lercier, Reynald; Morain, François
6
1995
Covariant algebra of the binary nonic and the binary decimic. Zbl 1366.13006
Lercier, Reynald; Olive, Marc
6
2017
Counting points on elliptic curves over finite fields of small characteristic in quasi quadratic time. Zbl 1035.11067
Lercier, Reynald; Lubicz, David
6
2003
Fast construction of irreducible polynomials over finite fields. Zbl 1287.11141
Couveignes, Jean-Marc; Lercier, Reynald
5
2013
An explicit expression of the Lüroth invariant. Zbl 1360.68915
Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
5
2013
Computing isogenies between elliptic curves over \(F_{p^n}\) using Couveignes’s algorithm. Zbl 0963.11032
Lercier, R.; Morain, F.
4
2000
Galois invariant smoothness basis. Zbl 1151.14311
Couveignes, Jean-Marc; Lercier, Reynald
4
2008
Algorithms for computing isogenies between elliptic curves. Zbl 0922.11110
Lercier, R.; Morain, F.
4
1998
“Chinese & Match”, an alternative to Atkin’s “Match and Sort” method used in the SEA algorithm. Zbl 1011.11080
Joux, Antoine; Lercier, Reynald
4
2001
Oracle-assisted static Diffie-Hellman is easier than discrete logarithms. Zbl 1234.94050
Joux, Antoine; Lercier, Reynald; Naccache, David; Thomé, Emmanuel
3
2009
Algorithms to solve the finite field discrete logarithm problem. (Algorithmes pour résoudre le problème du logarithme discret dans les corps finis.) Zbl 1235.11116
Joux, Antoine; Lercier, Reynald
2
2007
The geometry of some parameterizations and encodings. Zbl 1314.14053
Couveignes, Jean-Marc; Lercier, Reynald
2
2014
Reconstructing plane quartics from their invariants. Zbl 1439.13020
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
2
2020
Reduction type of smooth plane quartics. Zbl 07419500
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe
2
2021
Reduction type of smooth plane quartics. Zbl 07419500
Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe
2
2021
Reconstructing plane quartics from their invariants. Zbl 1439.13020
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
2
2020
Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051
Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco
8
2018
Covariant algebra of the binary nonic and the binary decimic. Zbl 1366.13006
Lercier, Reynald; Olive, Marc
6
2017
Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
10
2016
Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. Zbl 1333.14060
Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen
8
2014
The geometry of some parameterizations and encodings. Zbl 1314.14053
Couveignes, Jean-Marc; Lercier, Reynald
2
2014
Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. Zbl 1344.11049
Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
8
2013
Fast construction of irreducible polynomials over finite fields. Zbl 1287.11141
Couveignes, Jean-Marc; Lercier, Reynald
5
2013
An explicit expression of the Lüroth invariant. Zbl 1360.68915
Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen
5
2013
Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088
Lercier, Reynald; Ritzenthaler, Christophe
23
2012
Encoding points on hyperelliptic curves over finite fields in deterministic polynomial time. Zbl 1290.94100
Kammerer, Jean-Gabriel; Lercier, Reynald; Renault, Guénaël
8
2010
Elliptic periods for finite fields. Zbl 1216.11106
Couveignes, Jean-Marc; Lercier, Reynald
14
2009
Oracle-assisted static Diffie-Hellman is easier than discrete logarithms. Zbl 1234.94050
Joux, Antoine; Lercier, Reynald; Naccache, David; Thomé, Emmanuel
3
2009
On Elkies subgroups of \(\ell\)-torsion points in elliptic curves defined over a finite field. Zbl 1230.11080
Lercier, Reynald; Sirvent, Thomas
6
2008
Galois invariant smoothness basis. Zbl 1151.14311
Couveignes, Jean-Marc; Lercier, Reynald
4
2008
Algorithms to solve the finite field discrete logarithm problem. (Algorithmes pour résoudre le problème du logarithme discret dans les corps finis.) Zbl 1235.11116
Joux, Antoine; Lercier, Reynald
2
2007
The number field sieve in the medium prime case. Zbl 1161.11417
Joux, Antoine; Lercier, Reynald; Smart, Nigel; Vercauteren, Frederik
21
2006
The function field sieve in the medium prime case. Zbl 1140.94349
Joux, Antoine; Lercier, Reynald
14
2006
A quasi quadratic time algorithm for hyperelliptic curve point counting. Zbl 1166.11021
Lercier, Reynald; Lubicz, David
7
2006
Improvements to the general number field sieve for discrete logarithms in prime fields. A comparison with the Gaussian integer method. Zbl 1099.11074
Joux, Antoine; Lercier, Reynald
23
2003
Counting points on elliptic curves over finite fields of small characteristic in quasi quadratic time. Zbl 1035.11067
Lercier, Reynald; Lubicz, David
6
2003
The function field sieve is quite special. Zbl 1057.11069
Joux, Antoine; Lercier, Reynald
11
2002
“Chinese & Match”, an alternative to Atkin’s “Match and Sort” method used in the SEA algorithm. Zbl 1011.11080
Joux, Antoine; Lercier, Reynald
4
2001
Computing isogenies between elliptic curves over \(F_{p^n}\) using Couveignes’s algorithm. Zbl 0963.11032
Lercier, R.; Morain, F.
4
2000
Algorithms for computing isogenies between elliptic curves. Zbl 0922.11110
Lercier, R.; Morain, F.
4
1998
Computing isogenies in \(\mathbb{F}_{2^n}\). Zbl 0911.11029
Lercier, Reynald
7
1996
Counting the number of points on elliptic curves over finite fields: strategies and performances. Zbl 0903.11029
Lercier, Reynald; Morain, François
6
1995
all top 5

Cited by 236 Authors

15 Lercier, Reynald
8 Ritzenthaler, Christophe
8 Sijsling, Jeroen
7 Barbulescu, Razvan
7 Lorenzo García, Elisa
6 Schost, Éric
5 Gaudry, Pierrick
5 Joux, Antoine
5 Morain, François
5 Olive, Marc
4 Ballet, Stéphane
4 De Feo, Luca
4 Kılıçer, Pınar
4 Lubicz, David
3 Badr, Eslam E.
3 Bars Cortina, Francesc
3 Biasse, Jean-François
3 Bonnecaze, Alexis
3 Couveignes, Jean-Marc
3 Ezome, Tony
3 Farashahi, Reza Rezaeian
3 Galbraith, Steven D.
3 Guillevic, Aurore
3 Kim, Taechan
3 Kleinjung, Thorsten
3 Menezes, Alfred J.
3 Robert, Damien
3 Rolland, Robert
3 Streng, Marco
3 Thomé, Emmanuel
3 Tibouchi, Mehdi
2 Adj, Gora
2 Atighehchi, Kévin
2 Carls, Robert
2 Desmorat, Rodrigue
2 Faugère, Jean-Charles
2 Fouque, Pierre-Alain
2 Granger, Robert A.
2 Hayasaka, Kenichiro
2 Hidalgo, Rubén Antonio
2 Karemaker, Valentijn
2 Kolev, Boris
2 Lauter, Kristin Estella
2 Lecerf, Grégoire
2 Massierer, Maike
2 Moody, Dustin
2 Oliveira, Thomaz
2 Petit, Christophe
2 Pierrot, Cécile
2 Rodríguez-Henríquez, Francisco
2 Rovetta, Florent
2 Sall, Mohamadou
2 Shaska, Tanush
2 Silverberg, Alice
2 Sturmfels, Bernd
2 Takagi, Tsuyoshi
2 van der Hoeven, Joris
2 Vincent, Christelle
2 Zhuang, Jincheng
1 Abdesselam, Abdelmalek
1 Agostini, Daniele
1 Akleylek, Sedat
1 Alcazar, Juan Gerardo
1 Aoki, Kazumaro
1 Arias-de-Reyna, Sara
1 Armana, Cécile
1 Arnault, François
1 Artebani, Michela
1 Auffray, Nicolas
1 Baaziz, Houria
1 Bernstein, Daniel Julius
1 Beshaj, Lubjana
1 Bisson, Gaetan
1 Bluher, Antonia Wilson
1 Bose, Sownak
1 Bostan, Alin
1 Boudjou, Hortense
1 Braun, Lukas
1 Breiding, Paul
1 Bremner, Murray R.
1 Brieulle, Ludovic
1 Bunyawat, Aunyarat
1 Canales-Martínez, Isaac
1 Caruso, Xavier
1 Çelik, Türkü Özlüm
1 Chatel, Gweltaz
1 Chaumine, Jean
1 Chen, Tien-Ren
1 Cheng, Chen-Mou
1 Cheng, Qi
1 Constantinescu, Nicolae Mircea
1 Cruz-Cortés, Nareli
1 Dang, Thinh H.
1 David, Nicolas
1 Desmorat, Boris
1 Devi, Kiran
1 Dewaghe, Laurent
1 Diarra, Nafissatou
1 Diem, Claus
1 Doliskani, Javad
...and 136 more Authors
all top 5

Cited in 56 Serials

21 Mathematics of Computation
10 LMS Journal of Computation and Mathematics
7 Journal of Symbolic Computation
6 Designs, Codes and Cryptography
6 Finite Fields and their Applications
5 Journal of Number Theory
5 Journal of Cryptology
5 Advances in Mathematics of Communications
4 Journal of Algebra
4 International Journal of Number Theory
3 Research in Number Theory
2 Acta Arithmetica
2 Archiv der Mathematik
2 Applicable Algebra in Engineering, Communication and Computing
2 Journal de Théorie des Nombres de Bordeaux
2 Foundations of Computational Mathematics
2 Mathematics in Computer Science
2 Journal of Mathematical Cryptology
1 Archive for Rational Mechanics and Analysis
1 Discrete Applied Mathematics
1 Nonlinearity
1 Russian Mathematical Surveys
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Canadian Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Journal of the Mathematical Society of Japan
1 Journal of Pure and Applied Algebra
1 Mathematische Zeitschrift
1 Michigan Mathematical Journal
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Theoretical Computer Science
1 Computer Aided Geometric Design
1 Journal of Complexity
1 Discrete & Computational Geometry
1 Journal of the American Mathematical Society
1 SIAM Journal on Discrete Mathematics
1 Journal of Elasticity
1 Computational Complexity
1 Experimental Mathematics
1 Journal of Mathematical Sciences (New York)
1 The Ramanujan Journal
1 Revista Matemática Complutense
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Journal of High Energy Physics
1 Journal of Applied Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Algebra and its Applications
1 JSIAM Letters
1 Research in the Mathematical Sciences
1 Prikladnaya Diskretnaya Matematika
1 Matematicheskie Voprosy Kriptografii

Citations by Year