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A Variant of the F4 Algorithm

Antoine Joux , Vanessa Vitse
CT-RSA 2011, Feb 2011, San Francisco, United States. pp.356-375, ⟨10.1007/978-3-642-19074-2_23⟩
Conference papers istex hal-00665022v1

Cryptanalysis of the RSA Subgroup Assumption from TCC 2005

Jean-Sébastien Coron , Antoine Joux , Avradip Mandal , David Naccache , Mehdi Tibouchi et al.
PKC 2011 - Proceedings of the 2011 International Conference on Practice and Theory in Public Key Cryptography, Mar 2011, Taormina, Italy. pp.147-155, ⟨10.1007/978-3-642-19379-8_9⟩
Conference papers hal-01110234v1
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Injective Encodings to Elliptic Curves

Pierre-Alain Fouque , Antoine Joux , Mehdi Tibouchi
Information Security and Privacy - 18th Australasian Conference, Jul 2013, Brisbane, Australia. pp.16, ⟨10.1007/978-3-642-39059-3_14⟩
Conference papers hal-01094294v1

Authenticated On-Line Encryption

Pierre-Alain Fouque , Antoine Joux , Gwenaëlle Martinet , Frédéric Valette
Selected Areas in Cryptography, 10th Annual International Workshop, SAC 2003, 2004, Ottawa, Canada. pp.145-159, ⟨10.1007/978-3-540-24654-1_11⟩
Conference papers inria-00563967v1

A sieve algorithm based on overlattices

Anja Becker , Nicolas Gama , Antoine Joux
LMS Journal of Computation and Mathematics, 2014, 17 (Special Issue A), pp.49-70. ⟨10.1112/S1461157014000229⟩
Journal articles hal-01198935v1

Recovering a sum of two squares decomposition

Jaime Gutierrez , Ibeas Alvar , Antoine Joux
Journal of Symbolic Computation, 2014, 64, pp.16-21. ⟨10.1016/j.jsc.2013.12.003⟩
Journal articles hal-01198937v1

Pairing the volcano

Sorina Ionica , Antoine Joux
Mathematics of Computation, 2013, 82 (281), pp.581-603
Journal articles hal-01323886v1
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Factoring pq² with Quadratic Forms: Nice Cryptanalyses

Guilhem Castagnos , Antoine Joux , Fabien Laguillaumie , Phong Q. Nguyen
ASIACRYPT'2009 - 15th Annual International Conference on the Theory and Application of Cryptology and Information Security, A, Dec 2009, Tokyo, Japan. pp.469-486, ⟨10.1007/978-3-642-10366-7⟩
Conference papers hal-01022756v1

How to Securely Compute with Noisy Leakage in Quasilinear Complexity

Dahmun Goudarzi , Antoine Joux , Matthieu Rivain
Advances in Cryptology - {ASIACRYPT} 2018 - 24th International Conference on the Theory and Application of Cryptology and Information Security, Brisbane, QLD, Australia, December 2-6, 2018, Proceedings, Part II, Springer, pp.547-574, 2018
Book sections hal-01960745v1

Algebraic cryptanalysis of hidden field equation (HFE) cryptosystems using Groebner bases

Jean-Charles Faugère , Antoine Joux
23rd Annual International Cryptology Conference - CRYPTO 03, 2003, Santa Barbara USA, pp.44-60
Conference papers inria-00099731v1
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Pairing the Volcano

Sorina Ionica , Antoine Joux
Reports hal-00448031v2

Number Field Sieve for DLP

Antoine Joux , Reynald Lercier
Encyclopedia of Cryptography and Security, Springer, pp.867-873, 2011, ⟨10.1007/978-1-4419-5906-5_834⟩
Book sections hal-00665015v1
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Reducing number field defining polynomials: an application to class group computations

Alexandre Gélin , Antoine Joux
Algorithmic Number Theory Symposium XII, Aug 2016, Kaiserslautern, Germany. pp.315--331 ⟨10.1112/S1461157016000255⟩
Conference papers hal-01362144v1

Algorithmes pour résoudre le problème du logarithme discret dans les corps finis

Antoine Joux , Reynald Lercier
Nouvelles méthodes mathématiques en cryptographie, Jun 2007, Marseille, France. pp.23-53
Conference papers hal-00603804v1
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Algorithmic aspects of elliptic bases in finite field discrete logarithm algorithms

Antoine Joux , Cécile Pierrot
Advances in Mathematics of Communications, In press
Journal articles hal-02173688v2
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A simplified approach to rigorous degree 2 elimination in discrete logarithm algorithms

Faruk Göloğlu , Antoine Joux
Mathematics of Computation, 2019, pp.1
Journal articles hal-01960765v1
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Nearly Sparse Linear Algebra and application to Discrete Logarithms Computations

Antoine Joux , Cécile Pierrot
Contemporary Developments in Finite Fields and Applications , 2016, 978-981-4719-27-8 ⟨10.1142/9789814719261_0008⟩
Book sections hal-01154879v2

Algebraic Cryptanalysis of Hidden Field Equation (HFE) Cryptosystems Using Grobner Bases

Antoine Joux , Jean-Charles Faugère
CRYPTO 2003 - 23rd Annual International Cryptology Conference, Aug 2003, Santa Barbara, California, United States. pp.44-60, ⟨10.1007/978-3-540-45146-4_3⟩
Conference papers hal-01531947v1

Certified lattice reduction

Thomas Espitau , Antoine Joux
Advances in Mathematics of Communications, 2020, 14 (1), pp.137-159. ⟨10.3934/amc.2020011⟩
Journal articles hal-02383752v1
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Cover and Decomposition Index Calculus on Elliptic Curves made practical

Antoine Joux , Vanessa Vitse
Preprints, Working Papers, ... hal-01121942v1
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A heuristic quasi-polynomial algorithm for discrete logarithm in finite fields of small characteristic

Razvan Barbulescu , Pierrick Gaudry , Antoine Joux , Emmanuel Thomé
Advances in Cryptology -- EUROCRYPT 2014, May 2014, Copenhagen, Denmark. pp.1-16, ⟨10.1007/978-3-642-55220-5_1⟩
Conference papers hal-00835446v2
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Improving the Polynomial time Precomputation of Frobenius Representation Discrete Logarithm Algorithms - Simplified Setting for Small Characteristic Finite Fields

Antoine Joux , Cécile Pierrot
20th International Conference on the Theory and Application of Cryptology and Information Security, Dec 2014, Kaoshiung, Taiwan. pp.378-397, ⟨10.1007/978-3-662-45611-8_20⟩
Conference papers hal-01213649v1

The Function Field Sieve in the Medium Prime Case

Antoine Joux , Reynald Lercier
EUROCRYPT 2006, May 2006, Saint Petersbourg, Russia. pp.254-270, ⟨10.1007/11761679_16⟩
Conference papers hal-00456191v1

Multi-user collisions: Applications to Discrete Logarithm, Even-Mansour and PRINCE

Antoine Joux , Pierre-Alain Fouque , Chrysanthi Mavromati
20th International Conference on the Theory and Application of Cryptology and Information Security, Dec 2014, Kaoshiung, Taiwan. pp.420-438, ⟨10.1007/978-3-662-45611-8_22⟩
Conference papers hal-01213662v1
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Symmetrized summation polynomials: using small order torsion points to speed up elliptic curve index calculus

Jean-Charles Faugère , Louise Huot , Antoine Joux , Guénaël Renault , Vanessa Vitse et al.
EUROCRYPT 2014 - 33rd Annual International Conference on the Theory and Applications of Cryptographic Techniques, May 2014, Copenhagen, Denmark. pp.40-57, ⟨10.1007/978-3-642-55220-5_3⟩
Conference papers hal-00935050v1

Improvements to the general number field sieve for discrete logarithms in prime fields

Antoine Joux , Reynald Lercier
Mathematics of Computation, 2003, 72, pp.953-967. ⟨10.1090/S0025-5718-02-01482-5⟩
Journal articles hal-01102016v1
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Multi-user collisions: Applications to Discrete Logarithm, Even-Mansour and PRINCE (Full version * )

Pierre-Alain Fouque , Antoine Joux , Chrysanthi Mavromati
Advances in Cryptology - ASIACRYPT 2014 - 20th International Conference on the Theory and Application of Cryptology and Information Security, Palash Sarkar, Tetsu Iwata, Dec 2014, Kaoshiung, Taiwan. pp.20
Conference papers hal-01094051v1

Blockwise Adversarial Model for On-line Ciphers and Symmetric Encryption Schemes

Pierre-Alain Fouque , Antoine Joux , Guillaume Poupard
Selected Areas in Cryptography, 11th International Workshop, SAC 2004, 2004, Waterloo, Canada. pp.212-226, ⟨10.1007/978-3-540-30564-4_15⟩
Conference papers inria-00563962v1
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Oracle-Assisted Static Diffie-Hellman Is Easier Than Discrete Logarithms

Antoine Joux , Reynald Lercier , David Naccache , Emmanuel Thomé
Cryptography and Coding -- IMACC 2009, Dec 2009, Cirencester, United Kingdom. pp.351-367, ⟨10.1007/978-3-642-10868-6_21⟩
Conference papers inria-00337753v2
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When e-th Roots Become Easier Than Factoring

Antoine Joux , David Naccache , Emmanuel Thomé
Advances in Cryptology -- ASIACRYPT 2007, Dec 2007, Kuching, Malaysia. pp.13-28, ⟨10.1007/978-3-540-76900-2_2⟩
Conference papers inria-00187782v1