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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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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⟩
hal-02882019v1  Journal articles
Daniel AugotAlain CouvreurJulien LavauzelleAlessandro Neri. Rank-metric codes over arbitrary Galois extensions and rank analogues of Reed-Muller codes
SIAM Journal on Applied Algebra and Geometry, Society for Industrial and Applied Mathematics 2021, 5 (2), pp.165-199. ⟨10.1137/20M1348583⟩
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hal-00643794v1  Conference papers
Daniel AugotMorgan BarbierAlain Couvreur. List-Decoding of Binary Goppa Codes up to the Binary Johnson Bound
IEEE Information Theory Workshop, Oct 2011, Paraty, Brazil. pp.229 - 233, ⟨10.1109/ITW.2011.6089384⟩
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⟩
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-01951630v1  Books
Alp BassaAlain CouvreurDavid Kohel. Arithmetic, Geometry, Cryptography and Coding Theory
American Mathematical Society. 686, 2017, Contemporary Mathematics, ⟨10.1090/conm/686⟩
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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-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⟩
hal-03049694v1  Journal articles
Daniel CoggiaAlain Couvreur. On the security of a Loidreau rank metric code based encryption scheme
Designs, Codes and Cryptography, Springer Verlag, 2020, 88 (9), pp.1941-1957. ⟨10.1007/s10623-020-00781-4⟩
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hal-02064465v2  Conference papers
Daniel CoggiaAlain Couvreur. On the security of a Loidreau's rank metric code based encryption scheme
WCC 2019 - The Eleventh International Workshop on Coding and Cryptography, Mar 2019, Saint Jacut de la mer, France
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⟩
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hal-00830594v1  Conference papers
Alain CouvreurPhilippe GaboritValérie GautierAyoub OtmaniJean-Pierre Tillich. Distinguisher-Based Attacks on Public-Key Cryptosystems Using Reed-Solomon Codes
International Workshop on Coding and Cryptography - WCC 2013, Apr 2013, Bergen, Norway. pp.181-193
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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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