Number Theory and Cryptography

By: J. H. Loxton

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Paperback | 18 June 1990

At a Glance

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248 Pages

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22.9 x 15.2 x 1.4

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In this volume, originally published in 1990, are included papers presented at two meetings; one a workshop on Number Theory and Cryptography, and the other, the annual meeting of the Australian Mathematical Society. Questions in number theory are of military and commercial importance for the security of communication, as they are related to codes and code-breaking. Papers in the volume range from problems in pure mathematics whose study has been intensified by this connection, through interesting theoretical and combinatorial problems which arise in the implementation, to practical questions that come from banking and telecommunications. The contributors are prominent within their field. The whole volume will be an attractive purchase for all number theorists, 'pure' or 'applied'.

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Contributors
Introduction
Number Theoretic Aspects of Cryptology
Some mathematical aspects of recent advances in cryptology
Quadratic fields and cryptography
Parallel algorithms for integer factorisation
An open architecture number sieve
Algorithms for finite fields
Notes on continued fractions and recurrence sequences
Cryptographic Devices and Applications
Linear feedback shift registers and stream ciphers
Applying randomness tests to commercial level block ciphers
Pseudo-random sequence generators using structures noise
Privacy for Mancet
Authentication
Insecurity of the knapsack one-time pad
The tactical frequency management problem: heuristic search and simulated annealing
Reed-Solomon coding in the complex field
Diophantine Analysis
Class number problems for read quadratic fields
Number theoretic problems involving two independent bases
A class of normal numbers II
Notes on uniform distribution
Thue equations and multiplicative independence
A number theoretic crank associated with open bosonic strings
Universal families of abelian varieties
Table of Contents provided by Publisher. All Rights Reserved.

Number Theory and Cryptography

At a Glance

Paperback

Shipping

How to return your order

Defective items

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