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Author ID: thome.emmanuel Recent zbMATH articles by "Thomé, Emmanuel"
Published as: Thomé, Emmanuel; Thomé, E.
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

28 Publications have been cited 286 times in 207 Documents Cited by Year
A heuristic quasi-polynomial algorithm for discrete logarithm in finite fields of small characteristic. Zbl 1326.11080
Barbulescu, Razvan; Gaudry, Pierrick; Joux, Antoine; Thomé, Emmanuel
60
2014
A double large prime variation for small genus hyperelliptic index calculus. Zbl 1179.94062
Gaudry, P.; Thomé, E.; Thériault, N.; Diem, C.
46
2007
Factorization of a 768-bit RSA modulus. Zbl 1196.11167
Kleinjung, Thorsten; Aoki, Kazumaro; Franke, Jens; Lenstra, Arjen K.; Thomé, Emmanuel; Bos, Joppe W.; Gaudry, Pierrick; Kruppa, Alexander; Montgomery, Peter L.; Osvik, Dag Arne; te Riele, Herman; Timofeev, Andrey; Zimmermann, Paul
36
2010
Index calculus in class groups of non-hyperelliptic curves of genus three. Zbl 1167.11047
Diem, Claus; Thomé, Emmanuel
13
2008
Subquadratic computation of vector generating polynomials and improvement of the block Wiedemann algorithm. Zbl 1010.65024
Thomé, Emmanuel
12
2002
A kilobit hidden SNFS discrete logarithm computation. Zbl 1411.11134
Fried, Joshua; Gaudry, Pierrick; Heninger, Nadia; Thomé, Emmanuel
11
2017
An \(L(1/3)\) discrete logarithm algorithm for low degree curves. Zbl 1208.94042
Enge, Andreas; Gaudry, Pierrick; Thomé, Emmanuel
9
2011
Computing class polynomials for abelian surfaces. Zbl 1293.11107
Enge, Andreas; Thomé, Emmanuel
9
2014
Faster multiplication in \(\text{GF}(2)[x]\). Zbl 1230.11152
Brent, Richard P.; Gaudry, Pierrick; Thomé, Emmanuel; Zimmermann, Paul
8
2008
Cocks-Pinch curves of embedding degrees five to eight and optimal ate pairing computation. Zbl 1448.94202
Guillevic, Aurore; Masson, Simon; Thomé, Emmanuel
7
2020
Discrete logarithm in \(\mathrm{GF}(2^{809})\) with FFS. Zbl 1335.94029
Barbulescu, Razvan; Bouvier, Cyril; Detrey, Jérémie; Gaudry, Pierrick; Jeljeli, Hamza; Thomé, Emmanuel; Videau, Marion; Zimmermann, Paul
7
2014
Computation with no memory, and rearrangeable multicast networks. Zbl 1291.90041
Burckel, Serge; Gioan, Emeric; Thomé, Emmanuel
7
2014
Computing discrete logarithms in \(\mathbb F_{p^6}\). Zbl 1384.94066
Grémy, Laurent; Guillevic, Aurore; Morain, François; Thomé, Emmanuel
6
2018
Root optimization of polynomials in the number field sieve. Zbl 1378.11104
Bai, Shi; Brent, Richard P.; Thomé, Emmanuel
6
2015
Computing theta functions in quasi-linear time in genus two and above. Zbl 1361.14028
Labrande, Hugo; Thomé, Emmanuel
6
2016
When \(e\)-th roots become easier than factoring. Zbl 1153.11345
Joux, Antoine; Naccache, David; Thomé, Emmanuel
5
2007
Computation of discrete logarithms in \(\mathbb {F}_{2^{607}}\). Zbl 1062.11080
Thomé, Emmanuel
5
2001
Mapping computation with no memory. Zbl 1253.68125
Burckel, Serge; Gioan, Emeric; Thomé, Emmanuel
4
2009
Linear time interactive certificates for the minimal polynomial and the determinant of a sparse matrix. Zbl 1365.65138
Dumas, Jean-Guillaume; Kaltofen, Erich; Thomé, Emmanuel; Villard, Gilles
4
2016
Comparing the difficulty of factorization and discrete logarithm: a 240-digit experiment. Zbl 1504.94109
Boudot, Fabrice; Gaudry, Pierrick; Guillevic, Aurore; Heninger, Nadia; Thomé, Emmanuel; Zimmermann, Paul
4
2020
Fast integer multiplication using generalized Fermat primes. Zbl 1412.68304
Covanov, Svyatoslav; Thomé, Emmanuel
4
2019
Oracle-assisted static Diffie-Hellman is easier than discrete logarithms. Zbl 1234.94050
Joux, Antoine; Lercier, Reynald; Naccache, David; Thomé, Emmanuel
3
2009
Solving discrete logarithms on a 170-bit MNT curve by pairing reduction. Zbl 1418.11159
Guillevic, Aurore; Morain, François; Thomé, Emmanuel
3
2017
Fast computation of linear generators for matrix sequences and application to the block Wiedemann algorithm. Zbl 1356.68296
Thomé, Emmanuel
3
2001
Isogeny graphs with maximal real multiplication. Zbl 1457.11082
Ionica, Sorina; Thomé, Emmanuel
3
2020
Square root algorithms for the number field sieve. Zbl 1298.11114
Thomé, Emmanuel
3
2012
Algorithmic number theory. 9th international symposium, ANTS-IX, Nancy, France, July 19–23, 2010. Proceedings. Zbl 1196.11006
1
2010
New discrete logarithm computation for the medium prime case using the function field sieve. Zbl 1506.11153
Mukhopadhyay, Madhurima; Sarkar, Palash; Singh, Shashank; Thomé, Emmanuel
1
2022
New discrete logarithm computation for the medium prime case using the function field sieve. Zbl 1506.11153
Mukhopadhyay, Madhurima; Sarkar, Palash; Singh, Shashank; Thomé, Emmanuel
1
2022
Cocks-Pinch curves of embedding degrees five to eight and optimal ate pairing computation. Zbl 1448.94202
Guillevic, Aurore; Masson, Simon; Thomé, Emmanuel
7
2020
Comparing the difficulty of factorization and discrete logarithm: a 240-digit experiment. Zbl 1504.94109
Boudot, Fabrice; Gaudry, Pierrick; Guillevic, Aurore; Heninger, Nadia; Thomé, Emmanuel; Zimmermann, Paul
4
2020
Isogeny graphs with maximal real multiplication. Zbl 1457.11082
Ionica, Sorina; Thomé, Emmanuel
3
2020
Fast integer multiplication using generalized Fermat primes. Zbl 1412.68304
Covanov, Svyatoslav; Thomé, Emmanuel
4
2019
Computing discrete logarithms in \(\mathbb F_{p^6}\). Zbl 1384.94066
Grémy, Laurent; Guillevic, Aurore; Morain, François; Thomé, Emmanuel
6
2018
A kilobit hidden SNFS discrete logarithm computation. Zbl 1411.11134
Fried, Joshua; Gaudry, Pierrick; Heninger, Nadia; Thomé, Emmanuel
11
2017
Solving discrete logarithms on a 170-bit MNT curve by pairing reduction. Zbl 1418.11159
Guillevic, Aurore; Morain, François; Thomé, Emmanuel
3
2017
Computing theta functions in quasi-linear time in genus two and above. Zbl 1361.14028
Labrande, Hugo; Thomé, Emmanuel
6
2016
Linear time interactive certificates for the minimal polynomial and the determinant of a sparse matrix. Zbl 1365.65138
Dumas, Jean-Guillaume; Kaltofen, Erich; Thomé, Emmanuel; Villard, Gilles
4
2016
Root optimization of polynomials in the number field sieve. Zbl 1378.11104
Bai, Shi; Brent, Richard P.; Thomé, Emmanuel
6
2015
A heuristic quasi-polynomial algorithm for discrete logarithm in finite fields of small characteristic. Zbl 1326.11080
Barbulescu, Razvan; Gaudry, Pierrick; Joux, Antoine; Thomé, Emmanuel
60
2014
Computing class polynomials for abelian surfaces. Zbl 1293.11107
Enge, Andreas; Thomé, Emmanuel
9
2014
Discrete logarithm in \(\mathrm{GF}(2^{809})\) with FFS. Zbl 1335.94029
Barbulescu, Razvan; Bouvier, Cyril; Detrey, Jérémie; Gaudry, Pierrick; Jeljeli, Hamza; Thomé, Emmanuel; Videau, Marion; Zimmermann, Paul
7
2014
Computation with no memory, and rearrangeable multicast networks. Zbl 1291.90041
Burckel, Serge; Gioan, Emeric; Thomé, Emmanuel
7
2014
Square root algorithms for the number field sieve. Zbl 1298.11114
Thomé, Emmanuel
3
2012
An \(L(1/3)\) discrete logarithm algorithm for low degree curves. Zbl 1208.94042
Enge, Andreas; Gaudry, Pierrick; Thomé, Emmanuel
9
2011
Factorization of a 768-bit RSA modulus. Zbl 1196.11167
Kleinjung, Thorsten; Aoki, Kazumaro; Franke, Jens; Lenstra, Arjen K.; Thomé, Emmanuel; Bos, Joppe W.; Gaudry, Pierrick; Kruppa, Alexander; Montgomery, Peter L.; Osvik, Dag Arne; te Riele, Herman; Timofeev, Andrey; Zimmermann, Paul
36
2010
Algorithmic number theory. 9th international symposium, ANTS-IX, Nancy, France, July 19–23, 2010. Proceedings. Zbl 1196.11006
1
2010
Mapping computation with no memory. Zbl 1253.68125
Burckel, Serge; Gioan, Emeric; Thomé, Emmanuel
4
2009
Oracle-assisted static Diffie-Hellman is easier than discrete logarithms. Zbl 1234.94050
Joux, Antoine; Lercier, Reynald; Naccache, David; Thomé, Emmanuel
3
2009
Index calculus in class groups of non-hyperelliptic curves of genus three. Zbl 1167.11047
Diem, Claus; Thomé, Emmanuel
13
2008
Faster multiplication in \(\text{GF}(2)[x]\). Zbl 1230.11152
Brent, Richard P.; Gaudry, Pierrick; Thomé, Emmanuel; Zimmermann, Paul
8
2008
A double large prime variation for small genus hyperelliptic index calculus. Zbl 1179.94062
Gaudry, P.; Thomé, E.; Thériault, N.; Diem, C.
46
2007
When \(e\)-th roots become easier than factoring. Zbl 1153.11345
Joux, Antoine; Naccache, David; Thomé, Emmanuel
5
2007
Subquadratic computation of vector generating polynomials and improvement of the block Wiedemann algorithm. Zbl 1010.65024
Thomé, Emmanuel
12
2002
Computation of discrete logarithms in \(\mathbb {F}_{2^{607}}\). Zbl 1062.11080
Thomé, Emmanuel
5
2001
Fast computation of linear generators for matrix sequences and application to the block Wiedemann algorithm. Zbl 1356.68296
Thomé, Emmanuel
3
2001
all top 5

Cited by 337 Authors

13 Thomé, Emmanuel
12 Gaudry, Pierrick
9 Guillevic, Aurore
7 Kleinjung, Thorsten
7 Pierrot, Cécile
6 Barbulescu, Razvan
6 Zimmermann, Paul
5 Diem, Claus
5 Sarkar, Palash
4 Costello, Craig
4 Gadouleau, Maximilien
4 Menezes, Alfred J.
4 Rodríguez-Henríquez, Francisco
4 Thériault, Nicolas
4 Wesolowski, Benjamin
3 Brent, Richard Peirce
3 Bridoux, Florian
3 De Micheli, Gabrielle
3 Duquesne, Sylvain
3 El Housni, Youssef
3 El Mrabet, Nadia
3 Frey, Gerhard
3 Gorla, Elisa
3 Granger, Robert A.
3 Grémy, Laurent
3 Harvey, David
3 Ionica, Sorina
3 Labrande, Hugo
3 Lauter, Kristin Estella
3 Lenstra, Arjen K.
3 Massierer, Maike
3 Novoselov, S. A.
3 Oyono, Roger
3 Richard, Adrien
3 Tian, Song
3 van der Hoeven, Joris
3 Yasuda, Masaya
3 Zhuang, Jincheng
3 Zumbrägel, Jens
2 Aracena, Julio
2 Aranha, Diego F.
2 Bai, Shi
2 Biasse, Jean-François
2 Bostan, Alin
2 Bouvier, Cyril
2 Coxon, Nicholas
2 Datta, Pratish
2 De Feo, Luca
2 Dina, Bogdan Adrian
2 Faugère, Jean-Charles
2 Galbraith, Steven D.
2 Heninger, Nadia
2 Huang, Ming-Deh A.
2 Ibrahimi, Morteza
2 Jacobson, Michael John jun.
2 Joux, Antoine
2 Kani, Ernst J.
2 Kim, Taechan
2 Koblitz, Neal I.
2 Kraning, Matt
2 Lin, Dongdai
2 Lucas, David E.
2 Lv, Chang
2 May, Alexander
2 Micheli, Giacomo
2 Milio, Enea
2 Montanari, Andrea
2 Morain, François
2 Mukhopadhyay, Madhurima
2 Naehrig, Michael
2 Oliveira, Thomaz
2 Pernet, Clément
2 Petit, Christophe
2 Renault, Guénaël
2 Robert, Damien
2 Ryzhov, A. S.
2 Salinas, Lilian
2 Schost, Éric
2 Sijsling, Jeroen
2 Stein, Andreas
2 Vincent, Christelle
2 Vitse, Vanessa
2 Zhu, Yuqing
1 Abe, Masayuki
1 Adj, Gora
1 Aggarwal, Divesh
1 Aguilar-Melchor, Carlos
1 Al Aswad, Haetham
1 Alonso-Jiménez, José Antonio
1 Aminatou, Pecha Njiahouo
1 Aoki, Kazumaro
1 Aragon, Nicolas
1 Aranda-Corral, Gonzalo A.
1 Avanzi, Roberto Maria
1 Bai, Guoqiang
1 Balakrishnan, Jennifer S.
1 Baldi, Marco
1 Balister, Paul N.
1 Barreto, Paulo S. L. M.
1 Bauch, Jens-Dietrich
...and 237 more Authors
all top 5

Cited in 48 Serials

20 Mathematics of Computation
18 Designs, Codes and Cryptography
16 Journal of Cryptology
11 Journal of Symbolic Computation
7 Finite Fields and their Applications
6 LMS Journal of Computation and Mathematics
6 Journal of Mathematical Cryptology
5 Journal of Number Theory
5 Theoretical Computer Science
5 Applicable Algebra in Engineering, Communication and Computing
5 Advances in Mathematics of Communications
4 Prikladnaya Diskretnaya Matematika
2 Journal of Computer and System Sciences
2 Mathematical Problems in Engineering
2 Annals of Mathematics. Second Series
2 Research in Number Theory
2 Matematicheskie Voprosy Kriptografii
1 Information Processing Letters
1 Acta Arithmetica
1 Applied Mathematics and Computation
1 Transactions of the American Mathematical Society
1 Acta Applicandae Mathematicae
1 Journal of Complexity
1 Algorithmica
1 Information and Computation
1 Journal of the American Mathematical Society
1 Japan Journal of Industrial and Applied Mathematics
1 The Annals of Applied Probability
1 Numerical Algorithms
1 Linear Algebra and its Applications
1 Experimental Mathematics
1 Tatra Mountains Mathematical Publications
1 Journal de Théorie des Nombres de Bordeaux
1 Journal of Mathematical Sciences (New York)
1 Journal of the ACM
1 Journal of Discrete Mathematical Sciences & Cryptography
1 Acta Mathematica Sinica. English Series
1 Communications in Nonlinear Science and Numerical Simulation
1 Lobachevskii Journal of Mathematics
1 Quantum Information Processing
1 Mathematics in Computer Science
1 Science China. Information Sciences
1 Theory of Computing
1 Journal of Applied Mathematics, Statistics and Informatics
1 Journal of Logical and Algebraic Methods in Programming
1 European Journal of Mathematics
1 SIAM Journal on Applied Algebra and Geometry
1 Annales Henri Lebesgue

Citations by Year