Public-Key Cryptography and Computational Number Theory

, by Alster, Kazimierz; Urbanowicz, Jerzy; Williams, Hugh C.

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ISBN: 9783110170467 | 3110170469
Cover: Hardcover
Copyright: 11/1/2001

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Supplemental Materials

Preface

vii

Mathematics, cryptology, and technology

Andrew Odlyzko

A survey on IQ cryptography

(16)

Johannes Buchmann

Safuat Hamdy

Algebraic groups and discrete logarithm

(12)

Jean-Marc Couveignes

Fermat numbers, Wieferich and Wilson primes: computations and generalizations

(20)

Karl Dilcher

How to distinguish hyperelliptic curves in even charateristic

(10)

Andreas Enge

Limitations of constructive Weil descent

(12)

Steven D. Galbraith

On the security of a public-key cryptosystem

(6)

Otokar Grosek

Spyros S. Magliveras

Wandi Wei

Optimizations for NTRU

(12)

Jeffrey Hoffstein

Joseph Silverman

The efficiency and security of a real quadratic field based key exchange protocol

(24)

Michael J. Jacobson

Renate Scheidler

Hugh C. Williams

Extending the binary gcd algorithms

113

(24)

Przemystaw Kubiak

Stochastic kleptography detection

137

(14)

Daniel Kucner

Mirostaw Kutytowski

An overview of the XTR public key system

151

(30)

Arjen K. Lenstra

Eric R. Verheul

A survey of IND-CCA secure public-key encryption schemes relative to factoring

181

(16)

Siguna Muller

Efficient point multiplication for elliptic curves over special optimal extension fields

197

(12)

Volker Muller

Error-correcting codes and cryptography

209

(12)

Harald Niederreiter

Secret public key schemes

221

(18)

Jacques Patarin

Index form surfaces and construction of elliptic curves over large finite fields

239

(10)

Attila Petho

On the size of solutions of the inequality φ(ax + b) < φ(ax)

249

(8)

Herman te Riele

Security of DL-encryption and signatures against generic attacks--a survey

257

(26)

Claus Peter Schnorr

Square-root algorithms for the discrete logarithm problem (a survey)

283

(20)

Edlyn Teske

Height functions on elliptic curves

303

(20)

Horst G. Zimmer

List of participants

323

(6)

List of contributors

329

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Public-Key Cryptography and Computational Number Theory

Table of Contents

Supplemental Materials