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hal-01584034v1  Journal articles
Christine BachocAlain CouvreurGilles Zémor. Towards a function field version of Freiman's Theorem
Algebraic Combinatorics, MathOA, 2018, 1 (4), pp.501-521. ⟨10.5802/alco.19⟩
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hal-01248760v2  Journal articles
Benjamin AudouxAlain Couvreur. On tensor products of CSS Codes
Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions, European Mathematical Society, 2019, 6 (2), pp.239-287. ⟨10.4171/AIHPD/71⟩
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hal-02477371v1  Conference papers
Simon AbelardAlain CouvreurGrégoire Lecerf. Sub-quadratic time for Riemann-Roch spaces. The case of smooth divisors over nodal plane projective curves
ISSAC 2020 - 45th International Symposium on Symbolic and Algebraic Computation, Jul 2020, Kalamata, Greece. pp.14-21, ⟨10.1145/3373207.3404053⟩
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tel-02438668v1  Habilitation à diriger des recherches
Alain Couvreur. Codes algébriques et géométriques, applications à la cryptographie et à l'information quantique
Mathématiques [math]. Université Paris Diderot, 2019
hal-03256980v1  Conference papers
Maxime BombarAlain Couvreur. Decoding supercodes of Gabidulin codes and applications to cryptanalysis
Post-Quantum Cryptography 2021, Jul 2021, Daejeon, South Korea. pp.3-22, ⟨10.1007/978-3-030-81293-5_1⟩
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inria-00541894v1  Journal articles
Alain Couvreur. Differential Approach for the Study of Duals of Algebraic-Geometric Codes on Surfaces
Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2011, 23 (1), pp.95-120
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inria-00540023v2  Journal articles
Alain Couvreur. Incidence structures from the blown-up plane and LDPC codes
IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2011, 57 (7), pp.4401 - 4416. ⟨10.1109/TIT.2011.2146490⟩
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inria-00547454v1  Journal articles
Alain Couvreur. Construction of rational surfaces yielding good codes
Finite Fields and Their Applications, Elsevier, 2011, 17 (5), pp.424-441. ⟨10.1016/j.ffa.2011.02.007⟩
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hal-00710451v2  Journal articles
Alain Couvreur. Codes and the Cartier Operator
Proceedings of the American Mathematical Society, American Mathematical Society, 2014, 142, pp.1983-1996
hal-00937476v1  Conference papers
Alain CouvreurIrene Márquez-CorbellaRuud Pellikaan. A Polynomial Time Attack against Algebraic Geometry Code Based Public Key Cryptosystems
Information Theory (ISIT), 2014 IEEE International Symposium on, Jun 2014, Honolulu, United States. pp.1446-1450, ⟨10.1109/ISIT.2014.6875072⟩
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hal-01069272v1  Conference papers
Alain CouvreurIrene Márquez-CorbellaRuud Pellikaan. Cryptanalysis of public-key cryptosystems that use subcodes of algebraic geometry codes
4th ICMCTA - Fourth International Castle Meeting on Coding Theory and Applications, Sep 2014, Palmela, Portugal
hal-02125330v1  Conference papers
Magali BardetManon BertinAlain CouvreurAyoub Otmani. Practical Algebraic Attack on DAGS
CBC 2019 - 7th Code-Based Cryptography Workshop, May 2019, Darmstadt, Germany. pp.86-101, ⟨10.1007/978-3-030-25922-8_5⟩
hal-02470343v1  Conference papers
Alain CouvreurPhilippe LebacqueMarc Perret. Toward good families of codes from towers of surfaces
Arithmetic, Geometry, Cryptography and Coding Theory, Stéphane Ballet, Gaetan Bisson, Irene Bouw, Jun 2019, Marseille, France. ⟨10.1090/conm/770⟩
hal-01069510v1  Journal articles
Alain Couvreur. An upper bound on the number of rational points of arbitrary projective varieties over finite fields
Proceedings of the American Mathematical Society, American Mathematical Society, 2016, 144 (9), pp.3671-3685. ⟨10.1090/proc/13015⟩
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hal-02075926v1  Journal articles
Régis BlacheAlain CouvreurEmmanuel HallouinDavid MadoreJade Nardi et al.  Anticanonical codes from del Pezzo surfaces with Picard rank one
Transactions of the American Mathematical Society, American Mathematical Society, 2020, ⟨10.1090/tran/8119⟩
hal-00931774v1  Conference papers
Alain CouvreurAyoub OtmaniJean-Pierre Tillich. Polynomial Time Attack on Wild McEliece Over Quadratic Extensions
Advances in Cryptology - Eurocrypt 2014, May 2014, Copenhagen, Denmark. pp.17-39, ⟨10.1007/978-3-642-55220-5_2⟩
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hal-01661935v1  Journal articles
Alain CouvreurAyoub OtmaniJean-Pierre Tillich. Polynomial Time Attack on Wild McEliece Over Quadratic Extensions
IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2017, 63 (1), pp.404--427. ⟨10.1109/TIT.2016.2574841⟩
hal-01104078v1  Conference papers
Alain CouvreurAyoub OtmaniJean-Pierre TillichValérie Gauthier-Umana. A Polynomial-Time Attack on the BBCRS Scheme
Practice and Theory in Public-Key Cryptography - PKC 2015, Mar 2015, Washington, United States
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hal-00880994v1  Journal articles
Alain CouvreurAyoub OtmaniJean-Pierre Tillich. New identities relating wild Goppa codes
Finite Fields and Their Applications, Elsevier, 2014, 29, pp.178-197. ⟨10.1016/j.ffa.2014.04.007⟩
hal-02938812v1  Journal articles
Alain CouvreurMatthieu Lequesne. On the security of subspace subcodes of Reed-Solomon codes for public key encryption
IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2021, 68 (1), pp.632-648. ⟨10.1109/TIT.2021.3120440⟩
hal-01243394v1  Conference papers
Irene Márquez-CorbellaAlain CouvreurRuud Pellikaan. Structural Cryptanalysis of McEliece Schemes with Algebraic Geometry codes
Arithmétique, Géométrie, Cryptographie et Théorie des Codes, CIRM - Centre International de rencontres Mathématiques, May 2015, Luminy, France
hal-01280927v1  Journal articles
Alain CouvreurIrene Márquez-CorbellaRuud Pellikaan. Cryptanalysis of McEliece Cryptosystem Based on Algebraic Geometry Codes and their subcodes
IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2017, 63 (8), pp.5404 - 5418