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ORCID3rd ANTS 1998: Portland, Oregon, USA
- Joe Buhler:
Algorithmic Number Theory, Third International Symposium, ANTS-III, Portland, Oregon, USA, June 21-25, 1998, Proceedings. Lecture Notes in Computer Science 1423, Springer 1998, ISBN 3-540-64657-4
Invited Talk 1
- Noam D. Elkies:
Shimura Curve Computations. 1-47
Invited Talk 2
- Dan Boneh:
The Decision Diffie-Hellman Problem. 48-63
GCD Algorithms
- Giovanni Cesari:
Parallel Implementation of Schönhage's Integer GCD Algorithm. 64-76 - Brigitte Vallée:
The Complete Analysis of the Binary Euclidean Algorithm. 77-94
Primality
- Preda Mihailescu:
Cyclotomy Primality Proving - Recent Developments. 95-110 - François Morain:
Primality Proving Using Elliptic Curves: An Update. 111-127
Factoring
- Daniel J. Bernstein:
Bounding Smooth Integers. 128-130 - Zhang Mingzhi:
Factorization of the Numbers of the Form m3+c2m2+c1m+c0. 131-136 - Brian Murphy:
Modelling the Yield of Number Field Sieve Polynominals. 137-150 - Phong Q. Nguyen:
A Montgomery-Like Square Root for the Number Field Sieve. 151-168
Sieving
- William F. Galway:
Robert Bennion's "Hopping Sieve". 169-178 - Jonathan Sorenson
:
Trading Time for Space in Prime Number Sieves. 179-195
Analytic Number Theory
- Jean-Marc Deshouillers, François Hennecart, Bernard Landreau:
Do Sums of 4 Biquadrates Have a Positive Density? 196-203 - Jean-Marc Deshouillers, Herman te Riele, Yannick Saouter:
New Experimental Results Concerning the Goldbach Conjecture. 204-215 - Daniel M. Gordon, Eugene R. Rodemich:
Dense Admissible Sets. 216-225 - Daniel Panario, Xavier Gourdon, Philippe Flajolet:
An Analytic Approach to Smooth Polynominals over Finite Fields. 226-236
Cryptography
- Dan Boneh, Jeremy Horwitz:
Generating a Product of Three Primes with an Unknown Factorization. 237-251 - Erik De Win, Serge Mister, Bart Preneel, Michael J. Wiener:
On the Performance of Signature Schemes Based on Elliptic Curves. 252-266 - Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman:
NTRU: A Ring-Based Public Key Cryptosystem. 267-288 - Adam L. Young, Moti Yung:
Finding Length-3 Positive Cunningham Chains. 289-298
Linear Algebra, Lattices
- Stefan Neis:
Reducing Ideal Arithmetic to Linear Algebra Problems. 299-310 - Igor A. Semaev:
Evaluation of Linear Relations between Vectors of a Lattice in Euclidean Space. 311-322 - Susanne Wetzel:
An Efficient Parallel Block-Reduction Algorithm. 323-337
Series, Sums
- Bruno Haible, Thomas Papanikolaou:
Fast Multiprecision Evaluation of Series of Rational Numbers. 338-350 - Edlyn Teske, Hugh C. Williams:
A Problem Concerning a Character Sum - Extended Abstract. 351-357 - Alfred J. van der Poorten:
Formal Power Series and Their Continued Fraction Expansion. 358-371
Algebraic Number Fields
- Henri Cohen, Francisco Diaz y Diaz, Michel Olivier:
Imprimitive Octic Fields with Small Discriminants. 372-380 - Henri Cohen, Francisco Diaz y Diaz, Michel Olivier:
A Table of Totally Complex Number Fields of Small Discriminants. 381-391 - Bart de Smit:
Generating Arithmetically Equivalent Number Fields with Elliptic Curves. 392-399 - David S. Dummit, Brett A. Tangedal:
Computing the Lead Term of an Abelian L-function. 400-411 - John W. Jones, David P. Roberts:
Timing Analysis of Targeted Hunter Searches. 412-423 - Jacques Martinet:
On Successive Minima of Rings of Algebraic Integers. 424-432
Class Groups and Fields
- Henri Cohen, Francisco Diaz y Diaz, Michel Olivier:
Computation of Relative Quadratic Class Groups. 433-440 - Alice Gee, Peter Stevenhagen:
Generating Class Fields using Shimura Reciprocity. 441-453 - Joshua Holden:
Irregularity of Prime Numbers over Real Quadratic Fields. 454-462 - Michael J. Jacobson Jr.:
Experimental Results on Class Groups of Real Quadratic Fields. 463-474 - Stéphane Louboutin:
Computation of Relative Class Numbers of Imaginary Cyclic Fields of 2-power Degrees. 475-481
Curves
- Antonia W. Bluher:
Formal Groups, Elliptic Curves, and Some Theorems of Couveignes. 482-501 - Z. Djabri, Nigel P. Smart:
A Comparison of Direct and Indirect Methods for Computing Selmer Groups of an Elliptic Curve. 502-513 - Ming-Deh A. Huang, Yiu-Chung Wong:
An Algorithm for Approximate Counting of Points on Algebraic Sets over Finite Fields. 514-527 - Attila Pethö, E. Herrmann, Horst Günter Zimmer:
S-integral Points on Elliptic Curves and Fermat's Triple Equations. 528-540 - Edlyn Teske:
Speeding Up Pollard's Rho Method for Computing Discrete Logarithms. 541-554
Function Fields
- Harald Niederreiter, Chaoping Xing:
A General Method of Constructing Global Function Fields. 555-566 - Sachar Paulus:
Lattice Basis Reduction in Function Fields. 567-575 - Sachar Paulus, Andreas Stein:
Comparing Real and Imaginary Arithmetics for Divisor Class Groups of Hyperelliptic Curves. 576-591 - Renate Scheidler, Andreas Stein:
Unit Computation in Purely Cubic Function Fields of Unit Rank 1. 592-606 - Andreas Stein, Hugh C. Williams:
An Improved Method of Computing the Regulator of a Real Quadratic Function Field. 607-620 - Robert J. Zuccherato:
The Equivalence Between Elliptic Curve and Quadratic Function Field Discrete Logarithms in Characteristic 2. 621-638
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