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Minoration de Certaines Sommes Exponentielles Binaires

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Coding Theory and Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1518))

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5. Références

  1. L.A. Bassalygo, V.A. Zinov'ev et S.N. Litsyn: “A lower estimate of complete trigonometric sums in terms of multiple sums”, Dokl. Acad. Nauk SSSR, vol. 33, no 5 (1988); traduction anglaise, Soviet Math. Dokl., vol. 37, no 3 (1988) p. 756–759.

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  2. N. Bourbaki: Algèbre Chap. 4 à 7, Masson, Paris, 1981.

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  3. G.H. Hardy et E.M. Wright: An introduction to the theory of numbers, Oxford University Press, Londres, 1971.

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  4. C. Hooley: “On Artin's conjecture”, J. reine angew. Math., vol. 225 (1967), 209–20.

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  5. G. Lachaud: “Exponential sums, algebraic curves and linear codes”, preprint (1989).

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  6. R. Lidl et H. Niederreiter: Finite Fields, Encyclopedia of mathematics and its applications, vol. 20, Cambridge University Press, Cambridge, 1983.

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  7. F.J. MacWilliams et N.J.A. Sloane: The Theory of Error-Correcting Codes, North-Holland, Amsterdam, 1977.

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  8. F. Rodier: “On the spectra of the duals of binary BCH codes of designed distance δ=9”, à paraître aux IEEE transactions on Information Theory (1991).

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  9. J.P. Serre: “Majoration de sommes exponentielles”, Astérisque 41–42 (1977), p. 111–126.

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  10. A. Weil: Variétés abéliennes et courbes algébriques, Hermann, Paris, 1948.

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Author information

Authors and Affiliations

  1. Equipe C.N.R.S. Arithmétique et Théorie de l'Information U.F.R. de Mathématiques, Université Paris 7, 75231, Paris Cedex 05

    François Rodier

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  1. François Rodier
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Henning Stichtenoth Michael A. Tsfasman

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© 1992 Springer-Verlag

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Rodier, F. (1992). Minoration de Certaines Sommes Exponentielles Binaires. In: Stichtenoth, H., Tsfasman, M.A. (eds) Coding Theory and Algebraic Geometry. Lecture Notes in Mathematics, vol 1518. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088003

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  • DOI: https://doi.org/10.1007/BFb0088003

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55651-0

  • Online ISBN: 978-3-540-47267-4

  • eBook Packages: Springer Book Archive

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