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Public-Key Cryptography and Computational Number Theory Kazimierz Alster

Public-Key Cryptography and Computational Number Theory By Kazimierz Alster

Public-Key Cryptography and Computational Number Theory by Kazimierz Alster


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Summary

The Proceedings contain twenty selected, refereed contributions arising from the International Conference on Public-Key Cryptography and Computational Number Theory held in Warsaw, Poland, on September 11-15, 2000.

Public-Key Cryptography and Computational Number Theory Summary

Public-Key Cryptography and Computational Number Theory: Proceedings of the International Conference organized by the Stefan Banach International Mathematical Center Warsaw, Poland, September 11-15, 2000 by Kazimierz Alster

The Proceedings contain twenty selected, refereed contributions arising from the International Conference on Public-Key Cryptography and Computational Number Theory held in Warsaw, Poland, on September 11-15, 2000.

The conference, attended by eightyfive mathematicians from eleven countries, was organized by the Stefan Banach International Mathematical Center.

This volume contains articles from leading experts in the world on cryptography and computational number theory, providing an account of the state of research in a wide variety of topics related to the conference theme. It is dedicated to the memory of the Polish mathematicians Marian Rejewski (1905-1980), Jerzy Rooycki (1909-1942) and Henryk Zygalski (1907-1978), who deciphered the military version of the famous Enigma in December 1932 January 1933. A noteworthy feature of the volume is a foreword written by Andrew Odlyzko on the progress in cryptography from Enigma time until now.

Table of Contents

Contents:

Andrew Odlyzko: Mathematics, cryptology, and technology * Johannes Buchmann, Safuat Hamdy: A survey on IQ cryptography * Jean-Marc Couveignes: Algebraic groups and discrete logarithm * Karl Dilcher: Fermat numbers, Wieferich and Wilson primes: computations and generalizations* Andreas Enge: How to distinguish hyperelliptic curves in even characteristic * Steven D. Galbraith: Limitations of constructive Weil descent * Otokar Grosek, Spyros S. Magliveras, Wandi Wei: On the security of a public-key cryptosystem * Jeffrey Hoffstein, Joseph Silverman: Optimizations for NTRU * Michael John Jacobson, Jr., Renate Scheidler, Hugh C. Williams: The efficiency and security of a real quadratic field based key exchange protocol * Przemyslaw Kubiak: Extending the binary gcd algorithms * Daniel Kucner, Miroslaw Kutylowski: Stochastic kleptography detection * Arjen K. Lenstra, Eric R. Verheul: An overview of the XTR public key system * Siguna Muller: A survey of IND-CCA secure public-key encryption schemes relative to factoring * Volker Muller: Efficient point multiplication for elliptic curves over special optimal extension fields * Harald Niederreiter: Error-correcting codes and cryptography * Secret public key schemes * Attila Pethoe: Index form surfaces and construction of elliptic curves over large finite fields * Herman te Riele: On the size of solutions of the inequality (ax+b)< (ax) * Claus Peter Schnorr: Security of DL-encryption and signatures against generic attacks - a survey * Edlyn Teske: Square-root algorithms for the discrete logarithm problem (a survey) * Horst G. Zimmer: Height functions on elliptic curves.

Additional information

NPB9783110170467
9783110170467
3110170469
Public-Key Cryptography and Computational Number Theory: Proceedings of the International Conference organized by the Stefan Banach International Mathematical Center Warsaw, Poland, September 11-15, 2000 by Kazimierz Alster
New
Hardback
De Gruyter
2001-11-15
343
N/A
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