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ORCIDFrançois Morain
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- affiliation: École Polytechnique, Palaiseau, France
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2020 – today
- 2023
[j8]François Morain, Guénaël Renault, Benjamin Smith:
Deterministic factoring with oracles. Appl. Algebra Eng. Commun. Comput. 34(4): 663-690 (2023)- 2022
- [c20]François Morain:
Implementing the Thull-Yap Algorithm for Computing Euclidean Remainder Sequences. ISSAC 2022: 197-205
2010 – 2019
- 2018
- [i9]François Morain, Guénaël Renault, Benjamin Smith:
Deterministic factoring with oracles. CoRR abs/1802.08444 (2018) - 2017
- [c19]Laurent Grémy
, Aurore Guillevic, François Morain, Emmanuel Thomé:
Computing Discrete Logarithms in 𝔽p6. SAC 2017: 85-105 - 2016
- [j7]François Morain, Charlotte Scribot, Benjamin Smith:
Computing cardinalities of -curve reductions over finite fields. LMS J. Comput. Math. 19(A): 115-129 (2016) - [c18]Aurore Guillevic, François Morain, Emmanuel Thomé:
Solving Discrete Logarithms on a 170-Bit MNT Curve by Pairing Reduction. SAC 2016: 559-578 - [i8]Aurore Guillevic, François Morain, Emmanuel Thomé:
Solving discrete logarithms on a 170-bit MNT curve by pairing reduction. CoRR abs/1605.07746 (2016) - [i7]Aurore Guillevic, François Morain, Emmanuel Thomé:
Solving discrete logarithms on a 170-bit MNT curve by pairing reduction. IACR Cryptol. ePrint Arch. 2016: 507 (2016) - [i6]Razvan Barbulescu, Pierrick Gaudry, Aurore Guillevic, François Morain:
Improving NFS for the discrete logarithm problem in non-prime finite fields. IACR Cryptol. ePrint Arch. 2016: 605 (2016) - 2015
- [c17]Razvan Barbulescu, Pierrick Gaudry, Aurore Guillevic, François Morain:
Improving NFS for the Discrete Logarithm Problem in Non-prime Finite Fields. EUROCRYPT (1) 2015: 129-155 - [i5]Frédéric Grosshans, Thomas Lawson, François Morain, Benjamin Smith:
Factoring Safe Semiprimes with a Single Quantum Query. CoRR abs/1511.04385 (2015) - 2014
- [i4]Razvan Barbulescu, Pierrick Gaudry, Aurore Guillevic, François Morain:
Improvements to the number field sieve for non-prime finite fields. CoRR abs/1408.0718 (2014) - 2012
- [i3]Daniel Augot, François Morain:
Discrete logarithm computations over finite fields using Reed-Solomon codes. CoRR abs/1202.4361 (2012) - 2011
- [r2]François Morain:
Elliptic Curves for Primality Proving. Encyclopedia of Cryptography and Security (2nd Ed.) 2011: 411-412 - 2010
- [e1]Guillaume Hanrot, François Morain, Emmanuel Thomé:
Algorithmic Number Theory, 9th International Symposium, ANTS-IX, Nancy, France, July 19-23, 2010. Proceedings. Lecture Notes in Computer Science 6197, Springer 2010, ISBN 978-3-642-14517-9 [contents]
2000 – 2009
- 2008
- [j6]Alin Bostan, François Morain, Bruno Salvy, Éric Schost:
Fast algorithms for computing isogenies between elliptic curves. Math. Comput. 77(263): 1755-1778 (2008) - 2007
- [j5]François Morain:
Implementing the asymptotically fast version of the elliptic curve primality proving algorithm. Math. Comput. 76(257): 493-505 (2007) - [c16]P. Mihailescu, François Morain, Éric Schost:
Computing the eigenvalue in the Schoof-Elkies-Atkin algorithm using Abelian lifts. ISSAC 2007: 285-292 - 2006
- [c15]Pierrick Gaudry, François Morain:
Fast algorithms for computing the eigenvalue in the Schoof-Elkies-Atkin algorithm. ISSAC 2006: 109-115 - [i2]Alin Bostan, Bruno Salvy, François Morain, Éric Schost:
Fast algorithms for computing isogenies between elliptic curves. CoRR abs/cs/0609020 (2006) - 2005
- [j4]Régis Dupont, Andreas Enge, François Morain:
Building Curves with Arbitrary Small MOV Degree over Finite Prime Fields. J. Cryptol. 18(2): 79-89 (2005) - [r1]François Morain:
Elliptic Curves for Primality Proving. Encyclopedia of Cryptography and Security 2005 - 2004
- [c14]Jens Franke, Thorsten Kleinjung, François Morain, T. Wirth:
Proving the Primality of Very Large Numbers with fastECPP. ANTS 2004: 194-207 - 2003
- [c13]Andreas Enge, François Morain:
Fast Decomposition of Polynomials with Known Galois Group. AAECC 2003: 254-264 - 2002
- [c12]Andreas Enge, François Morain:
Comparing Invariants for Class Fields of Imaginary Quadratic Fields. ANTS 2002: 252-266 - [c11]Mireille Fouquet, François Morain:
Isogeny Volcanoes and the SEA Algorithm. ANTS 2002: 276-291 - [i1]Régis Dupont, Andreas Enge, François Morain:
Building curves with arbitrary small MOV degree over finite prime fields. IACR Cryptol. ePrint Arch. 2002: 94 (2002) - 2001
- [c10]Guillaume Hanrot, François Morain:
Solvability by radicals from an algorithmic point of view. ISSAC 2001: 175-182 - 2000
- [j3]Reynald Lercier, François Morain:
Computing isogenies between elliptic curves over Fpn using Couveignes's algorithm. Math. Comput. 69(229): 351-370 (2000) - [c9]Stefania Cavallar, Bruce Dodson, Arjen K. Lenstra, Walter M. Lioen, Peter L. Montgomery, Brian Murphy, Herman J. J. te Riele, Karen I. Aardal, Jeff Gilchrist, Gérard Guillerm, Paul C. Leyland, Joël Marchand, François Morain, Alec Muffett, Chris Putnam, Craig Putnam, Paul Zimmermann:
Factorization of a 512-Bit RSA Modulus. EUROCRYPT 2000: 1-18
1990 – 1999
- 1999
- [c8]Iwan M. Duursma, Pierrick Gaudry, François Morain:
Speeding up the Discrete Log Computation on Curves with Automorphisms. ASIACRYPT 1999: 103-121 - 1998
- [c7]François Morain:
Primality Proving Using Elliptic Curves: An Update. ANTS 1998: 111-127 - 1996
- [j2]Dominique Guillaume, François Morain:
Building pseudoprimes with a large number of prime factors. Appl. Algebra Eng. Commun. Comput. 7(4): 263-277 (1996) - 1995
- [c6]Reynald Lercier, François Morain:
Counting the Number of Points on Elliptic Curves over Finite Fields: Strategies and Performance. EUROCRYPT 1995: 79-94 - 1994
- [c5]Jean Marc Couveignes, François Morain:
Schoof's algorithm and isogeny cycles. ANTS 1994: 43-58 - 1992
- [c4]François Morain:
Easy Numbers for the Elliptic Curve Primality Proving Algorithm. ISSAC 1992: 263-268 - 1991
- [c3]François Morain:
Building Elliptic Curves Modulo Large Primes. EUROCRYPT 1991: 328-336 - 1990
- [j1]François Morain, J. Olivos:
Speeding up the computations on an elliptic curve using addition-subtraction chains. RAIRO Theor. Informatics Appl. 24: 531-543 (1990) - [c2]François Morain:
Distributed Primality Proving and the Primality of (23539+1)/3. EUROCRYPT 1990: 110-123
1980 – 1989
- 1989
- [c1]François Morain:
Atkin's Test: News From the Front. EUROCRYPT 1989: 626-635
Coauthor Index
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