Jean-Marc Couveignes
- Université de Bordeaux (UB)
- Institut de Mathématiques de Bordeaux (IMB)
- Analyse cryptographique et arithmétique (CANARI)
Domaines de recherche
Publications
Publications
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Explicit Riemann-Roch spaces in the Hilbert class fieldArithmetic, geometry, cryptography and coding theory, Jun 2023, MARSEILLE (FRANCE), France. Contemporary mathematics, 832, American mathematical society, 2026, 978-1-4704-7685-4 |
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Continuous Approximation of a Discrete Situated and Reactive Multi-Agent System: Contribution to Agent ParameterizationPRIMA 2014 - 17th Pacific Rim international Conference on Principles and Practice of Multi-Agent Systems, Dec 2014, Queenland, Australia. Lecture Notes in Artificial Intelligence, 8861, Springer, pp.365--380, 2015, Lecture Notes in Computer Science book series (LNCS), ⟨10.1007/978-3-319-13191-7_30⟩ |
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Galois invariant smoothness basisAlgebraic Geometry and Its Applications, May 2007, Papeete, France. pp.142-167, 2008, Series on Number Theory and Its Applications |
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Jacobiens, jacobiennes et stabilité numériqueGroupes de Galois arithmétiques et différentiels, Mar 2004, Luminy (CIRM, Centre International de Rencontres Mathématiques), France. Séminaires et congrès, 13, Société mathématique de France, 2006, Séminaires et congrès 13, 978-2-85629-222-8 |
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Action of Modular Correspondences around CM PointsAlgorithmic Number Theory Symposium 2002, Jul 2002, Sydney (AUSTRALIA), Australia. Lecture Notes in Computer Science, 2369, pp.234-243, 2002, Lecture Notes in Computer Science, ⟨10.1007/3-540-45455-1_19⟩ |
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Algebraic groups and discrete logarithmPublic-Key Cryptography and Computational Number Theory, Sep 2000, Varsovie (PL), Poland. DE GRUYTER, 2001, De Gruyter proceedings in mathematics, ⟨10.1515/9783110881035.17⟩ |
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Tools for the computation of families of coveringsAspects of Galois theory, Oct 1996, Gainesville, United States. Lecture Notes Series London Mathematical Society, 256, Cambridge university press, pp.38-65, 1999, London Math. Soc. Lecture Note Ser., 0-521-63747-3 |
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Computing l-isogenies using the p-torsionAlgorithmic Number Theory Symposium, May 1996, TALENCE, France. Lecture Notes in Computer Science, 1122, Springer Berlin Heidelberg, pp.59-65, 1996, Lecture Notes in Computer Science, ⟨10.1007/3-540-61581-4_41⟩ |
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Schoof's algorithm and isogeny cyclesAlgorithmic Number Theory Symposium, May 1994, Ithaca, United States. Lecture Notes in Computer Science, 877, Springer Berlin Heidelberg, pp.43-58, 1994, Lecture Notes in Computer Science, ⟨10.1007/3-540-58691-1_42⟩ |
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On the interactive complexity of graph reliabilityInternational Conference on Foundations of Software Technology and Theoretical Computer Science, Dec 1994, Madras, India. Lecture Notes in Computer Science, 880, Springer, pp.12-23, 1994, 978-3-540-58715-6. ⟨10.1007/3-540-58715-2_110⟩ |
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Dessins from a geometric point of viewThe Grothendieck Theory of Dessins d'Enfants, Apr 1993, Luminy (France), France. London Mathematical Society Lecture Note Series, 200, Cambridge university press, 1994, 9780521478212 |
Geometric and differential Galois theoriesSociété Mathématique de France, pp.240, 2013 |
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Computational Aspects of Modular Forms and Galois RepresentationsPrinceton University Press, pp.425, 2011, 9780691142029 |
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Approximate computations with modular curvesCarel Faber, Gavril Farkas, Robin de Jong. Geometry and Arithmetic, EMS, pp.91-112, 2012, EMS Series of Congress Reports, 978-3-03719-119-4. ⟨10.4171/119⟩ |
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Computing a square root for the number field sieveThe development of the number field sieve, 1554, Springer Berlin Heidelberg, pp.95-102, 1993, Lecture Notes in Mathematics, ⟨10.1007/BFb0091540⟩ |
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Elliptic butterflies2025 |
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Short models of global fields2020 |
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Elliptic periods and primality proving (extented version)2009 |
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Hard Homogeneous Spaces2006 |
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Some computations in Number TheoryMathematics [math]. Université de Bordeaux, 1994. English. ⟨NNT : ⟩ |
Method and device for protecting the integrity of data transmitted over a networkUnited States, Patent n° : US 9,009,839 B2. 2015 |