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hal-00723733v1  Journal articles
Daniel AugotPascale CharpinNicolas Sendrier. Studying the Locator Polynomials of Minimum Weight Codewords of BCH Codes
IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 1992, 38 (3), pp.960-973. ⟨10.1109/18.135638⟩
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tel-00723227v1  Theses
Daniel Augot. Étude algèbrique des mots de poids minimum des codes cycliques, méthodes d'algèbre linéaire sur les corps finis.
Théorie de l'information [cs.IT]. Université Pierre et Marie Curie - Paris VI, 1993. Français
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hal-00723735v1  Journal articles
Daniel AugotNicolas Sendrier. Idempotents and the BCH bound
IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 1994, 40 (1), pp.204-207. ⟨10.1109/18.272483⟩
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inria-00509482v1  Conference papers
Daniel AugotFrançoise Levy-Dit-Vehel. Bounds on the minimum distance of the duals of BCH codes
1994 IEEE International Symposium on Information Theory, Jun 1994, Trondheim, Norway. pp.43, ⟨10.1109/ISIT.1994.394928⟩
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inria-00509424v1  Conference papers
Daniel Augot. Newton's identities for minimum codewords of a family of alternant codes
1995 IEEE International Symposium on Information Theory, Sep 1995, Whistler, Canada. pp.349, ⟨10.1109/ISIT.1995.550336⟩
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hal-00723500v1  Journal articles
Daniel Augot. Description of minimum weight codewords of cyclic codes by algebraic systems
Finite Fields and Their Applications, Elsevier, 1996, pp.138-152. ⟨10.1006/ffta.1996.0009⟩
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inria-00509478v1  Journal articles
Daniel AugotFrançoise Levy-Dit-Vehel. Bounds on the minimum distance of the duals of BCH codes
IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 1996, 42 (4), pp.1257 - 1260. ⟨10.1109/18.508853⟩
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inria-00509468v1  Conference papers
Daniel Augot. Algebraic Solutions of Newton's identities for cyclic codes
1998 Information Theory Workshop, Aug 1998, Killarney, Ireland. pp.49, ⟨10.1109/ITW.1998.706411⟩
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inria-00509339v1  Journal articles
Daniel AugotLancelot Pecquet. A Hensel Lifting to Replace Factorization in List-Decoding of Algebraic-Geometric and Reed-Solomon Codes
IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2000, 46 (7), pp.2605 - 2614. ⟨10.1109/18.887868⟩
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inria-00509269v1  Conference papers
Daniel AugotMagali BardetJean-Charles Faugère. Efficient decoding of (binary) cyclic codes above the correction capacity of the code using Grobner bases
IEEE International Symposium on Information Theory - ISIT'2003, Jun 2003, Yokohama, Japan. pp.362 - 362, ⟨10.1109/ISIT.2003.1228378⟩
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inria-00509188v2  Conference papers
Daniel AugotMatthieu FiniaszNicolas Sendrier. A Family of Fast Syndrome Based Cryptographic Hash Functions
MYCRYPT 2005 : First International Conference on Cryptology in Malaysia, Sep 2005, Kuala Lumpur, Malaysia. pp.64-83, ⟨10.1007/11554868_6⟩
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inria-00509209v1  Conference papers
Daniel AugotAlexander Zeh. On the Roth and Ruckenstein equations for the Guruswami-Sudan algorithm
Information Theory, 2008. ISIT 2008. IEEE International Symposium on, Jul 2008, Toronto, Canada. pp.2620-2624, ⟨10.1109/ISIT.2008.4595466⟩
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inria-00550061v1  Book sections
Daniel AugotEmmanuela OrsiniEmanuele Betti. An introduction to linear and cyclic codes
Sala, Massimiliano and Mora, Teo and Perret, Ludovic and Sakata, Shojiro and Traverso, Carlo. Gröbner Bases, Coding, and Cryptography, Springer-Verlag, pp.47-68, 2009, Gröbner Bases, Coding, and Cryptography, ⟨10.1007/978-3-540-93806-4_4⟩
inria-00564022v1  Book sections
Daniel AugotMichael Stepanov. A note on the generalisation of the Guruswami-Sudan list decoding algorithm to Reed-Muller codes
Massimiliano Sala and Teo Mora and Ludovic Perret and Shojiro Sakata and Carlo Traverso. Gröbner Bases, Coding, and Cryptography, 2, Springer, pp.395-398, 2009, ⟨10.1007/978-3-540-93806-4_27⟩
inria-00509213v1  Directions of work or proceedings
Daniel AugotJean-Charles FaugèreLudovic Perret. Gröbner Bases in Cryptography, Coding Theory, and Algebraic Combinatorics
Augot, Daniel; Faugère, Jean-Charles; Perret, Ludovic. France. 44 (12), Elsevier, pp.1605-1724, 2009, Journal of Symbolic Computation, ⟨10.1016/j.jsc.2008.11.004⟩
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inria-00509219v1  Journal articles
Daniel AugotMagali BardetJean-Charles Faugère. On the decoding of binary cyclic codes with the Newton's identities
Journal of Symbolic Computation, Elsevier, 2009, Gröbner Bases in Cryptography, Coding Theory, and Algebraic Combinatorics, 44 (12), pp.1608-1625. ⟨10.1016/j.jsc.2008.02.006⟩
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inria-00543322v1  Conference papers
Daniel Augot. Les codes algébriques principaux et leur décodage
Journées Nationales de Calcul Formel, Jean-Guillaume Dumas, Grégoire Lecerf, Delphine Boucher et Thomas Cluzeau, May 2010, Luminy, France. pp.31-74
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inria-00547445v1  Conference papers
Daniel Augot. Problématique des bons codes sur le corps à deux éléments
Journées de la Société Mathémarique de France, Jun 2010, Paris, France
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inria-00633205v1  Journal articles
Alexander ZehChristian GentnerDaniel Augot. An Interpolation Procedure for List Decoding Reed--Solomon codes Based on Generalized Key Equations
IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers, 2011, 57, pp.5946-5959. ⟨10.1109/TIT.2011.2162160⟩
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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-00741923v1  Directions of work or proceedings
Daniel AugotAnne CanteautGohar KyureghyanFaina Solov'EvaØyvind Ytrehus. Editorial
Daniel Augot and Anne Canteaut and Gohar Kyureghyan and Faina Solov'eva and Øyvind Ytrehus. Springer, pp.2, 2012, Designs, Codes and Cryptography, ⟨10.1007/s10623-012-9731-1⟩
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hal-00823535v1  Conference papers
Daniel AugotPierre LoidreauGwezheneg Robert. Rank metric and Gabidulin codes in characteristic zero
ISIT 2013 IEEE International Symposium on Information Theory, Amos Lapidoth and Igal Sason and Jossy Sayir and Emre Telatar, Jul 2013, Istanbul, Turkey
hal-01503212v1  Journal articles
Daniel AugotPierre LoidreauGwezheneg Robert. Generalized Gabidulin codes over fields of any characteristic
Designs, Codes and Cryptography, Springer Verlag, 2018, 86 (8), pp.1807-1848. ⟨10.1007/s10623-017-0425-6⟩