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Continued Fractions in Hyperelliptic Function Fields

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Coding Theory, Cryptography and Related Areas

Abstract

Known results on hyperelliptic continued fractions, and in particular the Baby-Step Giant-Step algorithm, are obtained using algebro-geometric techniques. The methods used are valid in all characteristics and the proofs are simpler than those based on analogies with real quadratic number fields.

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Author information

Authors and Affiliations

  1. Departamento de Matematicas Puras y Aplicadas, Universidad Simón Bolívar, Caracas, Venezuela

    T. G. Berry

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  1. T. G. Berry
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Editor information

Editors and Affiliations

  1. Fachbereich Informatik, Technische Universität Darmstadt, Alexanderstrasse 10, 64283, Darmstadt, Germany

    Johannes Buchmann

  2. Department of Mathematics, Technical University of Denmark, Bldg. 303, 2800, Lyngby, Denmark

    Tom Høholdt

  3. Fachbereich 6, Mathematik und Informatik, Universität Gesamthochschule Essen, 45117, Essen, Germany

    Henning Stichtenoth

  4. Departamento de Matemáticas, Universidad Autónoma Metropolitana-Iztapalapa, Apartado Postal 55-532, C.P. 09340, México, D.F., México

    Horacio Tapia-Recillas

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© 2000 Springer-Verlag Berlin Heidelberg

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Berry, T.G. (2000). Continued Fractions in Hyperelliptic Function Fields. In: Buchmann, J., Høholdt, T., Stichtenoth, H., Tapia-Recillas, H. (eds) Coding Theory, Cryptography and Related Areas. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57189-3_3

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  • DOI: https://doi.org/10.1007/978-3-642-57189-3_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66248-8

  • Online ISBN: 978-3-642-57189-3

  • eBook Packages: Springer Book Archive

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