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Coding Theory, Cryptography and Related Areas

Proceedings of an International Conference on Coding Theory, Cryptography and Related Areas, held in Guanajuato, Mexico, in April 1998

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Johannes Buchmann

    1. Fachbereich Informatik, Technische Universität Darmstadt, Darmstadt, Germany

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  2. Tom Høholdt

    1. Department of Mathematics, Technical University of Denmark, Lyngby, Denmark

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  3. Henning Stichtenoth

    1. Fachbereich 6, Mathematik und Informatik, Universität Gesamthochschule Essen, Essen, Germany

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  4. Horacio Tapia-Recillas

    1. Departamento de Matemáticas, Universidad Autónoma Metropolitana-Iztapalapa, México, D.F., México

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  • The book covers state-of-the-art results in the hot area of cryptology.
  • Includes supplementary material: sn.pub/extras

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Table of contents (23 papers)

  1. Front Matter

    Pages I-VIII
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  2. Modifications of the Rao-Nam Cryptosystem

    • Ángela I. Barbero, Øyvind Ytrehus
    Pages 1-12

  3. Efficient Reduction on the Jacobian Variety of Picard Curves

    • Ernesto Reinaldo Barreirol, Jorge Estrada Sarlabous, Jean-Pierre Cherdieu
    Pages 13-28

  4. Continued Fractions in Hyperelliptic Function Fields

    • T. G. Berry
    Pages 29-41

  5. Discrete Logarithms: Recent Progress

    • Johannes Buchmann, Damian Weber
    Pages 42-56

  6. One-weight Z4-linear Codes

    • Claude Carlet
    Pages 57-72

  7. Efficient Algorithms for the Jacobian Variety of Hyperelliptic Curves y2=xp-x+1 Over a Finite Field of Odd Characteristic p

    • Iwan Duursma, Kouichi Sakurai
    Pages 73-89

  8. On Weierstrass Semigroups and One-point Algebraic Geometry Codes

    • J. I. Farrán
    Pages 90-101

  9. On the Undetected Error Probability of m-out-of-n Codes on the Binary Symmetric Channel

    • Fang-Wei Fu, Torleiv Kløve, Shu-Tao Xia
    Pages 102-110

  10. Skew Pyramids of Function Fields Are Asymptotically Bad

    • Arnaldo Garcia, Henning Stichtenoth
    Pages 111-113

  11. A Public Key Cryptosystem Based on Sparse Polynomials

    • D. Grant, K. Krastev, D. Lieman, I. Shparlinski
    Pages 114-121

  12. Higher Weights of Grassmann Codes

    • Sudhir R. Ghorpade, Gilles Lachaud
    Pages 122-131

  13. Toric Surfaces and Error-correcting Codes

    • Johan P. Hansen
    Pages 132-142

  14. Decoding Spherical Codes Generated by Binary Partitions of Symmetric Pointsets

    • John K. Karlof, Guodong >Liu
    Pages 143-155

  15. Worst-Case Analysis of an Algorithm for Computing the Greatest Common Divisor of n Inputs

    • Charles Lam, Jeffrey Shallit, Scott Vanstone
    Pages 156-166

  16. Zeta Functions of Curves over Finite Fields with Many Rational Points

    • Kristin Lauter
    Pages 167-174

  17. Codes on Drinfeld Modular Curves

    • Bartolomé López, Ignacio Luengo
    Pages 175-183

  18. Elliptic Curves, Pythagorean Triples and Applications

    • J. Miret, J. Tena, M. Valls
    Pages 184-194

  19. Exponential Sums and Stationary Phase (I)

    • Carlos Julio Moreno
    Pages 195-208

  20. Exponential Sums in Several Variables Over Finite Fields

    • Oscar Moreno, Francis N. Castro, Alberto Cáceres
    Pages 209-220
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Keywords

About this book

This book contains 23 contributions presented at the "International Conference on Coding Theory, Cryptography and Related Areas (ICCC)", held in Guanajuato, Mexico, in April 1998.
It comprises a series of research papers on various aspects of coding theory (geometric-algebraic, decoding, exponential sums, etc.) and cryptography (discrete logarithm problem, public key cryptosystems, primitives, etc.), as well as in other research areas, such as codes over finite rings and some aspects of function fields and algebraic geometry over finite fields.
The book contains new results on the subject, never published in any other form. It will be useful to students, researchers, professionals, and tutors interested in this area of research.

Editors and Affiliations

  • Fachbereich Informatik, Technische Universität Darmstadt, Darmstadt, Germany

    Johannes Buchmann

  • Department of Mathematics, Technical University of Denmark, Lyngby, Denmark

    Tom Høholdt

  • Fachbereich 6, Mathematik und Informatik, Universität Gesamthochschule Essen, Essen, Germany

    Henning Stichtenoth

  • Departamento de Matemáticas, Universidad Autónoma Metropolitana-Iztapalapa, México, D.F., México

    Horacio Tapia-Recillas

Bibliographic Information

  • Book Title: Coding Theory, Cryptography and Related Areas

  • Book Subtitle: Proceedings of an International Conference on Coding Theory, Cryptography and Related Areas, held in Guanajuato, Mexico, in April 1998

  • Editors: Johannes Buchmann, Tom Høholdt, Henning Stichtenoth, Horacio Tapia-Recillas

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

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2000

  • Softcover ISBN: 978-3-540-66248-8Published: 23 November 1999

  • eBook ISBN: 978-3-642-57189-3Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: VIII, 260

  • Topics: Coding and Information Theory, Number Theory, Cryptology

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