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Algorithmic Number Theory

4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Wieb Bosma

    1. Mathematisch Instituut, Universiteit Nijmegen, Nijmegen, The Netherlands

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 1838)

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Table of contents (40 papers)

  1. Front Matter

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  2. Invited Talks

    1. The Complexity of Some Lattice Problems

      • Jin-Yi Cai
      Pages 1-32

    2. Rational Points Near Curves and Small Nonzero | x 3 − y 2| via Lattice Reduction

      • Noam D. Elkies
      Pages 33-63

    3. Coverings of Curves of Genus 2

      • E. Victor Flynn
      Pages 65-84

    4. Lattice Reduction in Cryptology: An Update

      • Phong Q. Nguyen, Jacques Stern
      Pages 85-112

  3. Contributed Papers

    1. Construction of Secure C ab Curves Using Modular Curves

      • Seigo Arita
      Pages 113-126

    2. Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions

      • Roland Auer
      Pages 127-134

    3. New Results on Lattice Basis Reduction in Practice

      • Werner Backes, Susanne Wetzel
      Pages 135-152

    4. Baby-Step Giant-Step Algorithms for Non-uniform Distributions

      • Simon R. Blackburn, Edlyn Teske
      Pages 153-168

    5. On Powers as Sums of Two Cubes

      • Nils Bruin
      Pages 169-184

    6. Factoring Polynomials over ρ-Adic Fields

      • David G. Cantor, Daniel M. Gordon
      Pages 185-208

    7. Strategies in Filtering in the Number Field Sieve

      • Stefania Cavallar
      Pages 209-231

    8. Factoring Polynomials over Finite Fields and Stable Colorings of Tournaments

      • Qi Cheng, Ming-Deh A. Huang
      Pages 233-245

    9. Computing Special Values of Partial Zeta Functions

      • Gautam Chinta, Paul E. Gunnells, Robert Sczech
      Pages 247-256

    10. Construction of Tables of Quartic Number Fields

      • Henri Cohen, Francisco Diaz y Diaz, Michel Olivier
      Pages 257-268

    11. Counting Discriminants of Number Fields of Degree up to Four

      • Henri Cohen, Francisco Diaz y Diaz, Michel Olivier
      Pages 269-283

    12. On Reconstruction of Algebraic Numbers

      • Claus Fieker, Carsten Friedrichs
      Pages 285-296

    13. Dissecting a Sieve to Cut Its Need for Space

      • William F. Galway
      Pages 297-312

    14. Counting Points on Hyperelliptic Curves over Finite Fields

      • Pierrick Gaudry, Robert Harley
      Pages 313-332

    15. Modular Forms for GL(3) and Galois Representations

      • Bert van Geemen, Jaap Top
      Pages 333-346
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Editors and Affiliations

  • Mathematisch Instituut, Universiteit Nijmegen, Nijmegen, The Netherlands

    Wieb Bosma

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