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International Conference on Fundamentals of Computation Theory

FCT 1985: Fundamentals of Computation Theory pp 503–511Cite as

Degeneration of Shimura surfaces and a problem in coding theory

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 199))

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References

  1. V.G. Drinfeld, S.G. Vladut, On the number of points of an algebraic curve, Funk.Analiz 17,68–69 (1983), (in russian)

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  2. Yu.I.Manin, S.G.Vladut, Linear Codes and Modular Curves, Itogi Nauki i techniki, Sovremennye Problemy Matematiki, tom 25(1984)

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  3. D.Mumford, Abelian Varieties, Oxford 1970

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  4. M. Rapoport,Th. Zink, Über die lokale Zetafunktion von Shimuravarietäten, Invent.math. 68, 21–101 (1982)

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  5. Y.Ihara, On mudular curves over finite fields, Discrete Subgroups of Lie Groups and Appl. to Moduli, 160–202,Oxford 1975

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  6. J.-P. Serre, Sur le nombre des points rationnels d'une courbe algebrique sur un corps fini,C.R.Acad.Sc.Paris, t.296,Ser.I, 397–402 (1983)

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  7. M.A. Tsfasman,S.G. Vladut,Th. Zink, On Goppa codes which are better than Varshamov-Gilbert bound, Math.Nachr.109, 21–28(1982)

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  8. Th.Zink, Examples of Curves over \(F_{p^3 }\) and Goppa codes, to appear.

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Authors and Affiliations

  1. Institut für Mathematik der Akademie der Wissenschaften der DDR, Mohrenstr. 39, DDR-1086, Berlin

    Th. Zink

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  1. Th. Zink
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Lothar Budach

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© 1985 Springer-Verlag Berlin Heidelberg

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Zink, T. (1985). Degeneration of Shimura surfaces and a problem in coding theory. In: Budach, L. (eds) Fundamentals of Computation Theory. FCT 1985. Lecture Notes in Computer Science, vol 199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0028834

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  • DOI: https://doi.org/10.1007/BFb0028834

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15689-5

  • Online ISBN: 978-3-540-39636-9

  • eBook Packages: Springer Book Archive

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