Stream Ciphers and Number Theory
Published on 20. April 1998
446 pages
978-0-08-054184-6 (ISBN)
Description
This book is almost entirely concerned with stream ciphers, concentrating on a particular mathematical model for such ciphers which are called additive natural stream ciphers. These ciphers use a natural sequence generator to produce a periodic keystream. Full definitions of these concepts are given in Chapter 2.This book focuses on keystream sequences which can be analysed using number theory. It turns out that a great deal of information can be deducted about the cryptographic properties of many classes of sequences by applying the terminology and theorems of number theory. These connections can be explicitly made by describing three kinds of bridges between stream ciphering problems and number theory problems. A detailed summary of these ideas is given in the introductory Chapter 1.Many results in the book are new, and over seventy percent of these results described in this book are based on recent research results.
More details
Series
Edition
New ed.
Language
English
Place of publication
Amsterdam
Netherlands
Product notice
Windows
ISBN-13
978-0-08-054184-6 (9780080541846)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
T.W. Cusick | C. Ding | Ari R. Renvall
Stream Ciphers and Number Theory: Volume 55
Book
04/1998
North-Holland
€148.56
Article exhausted; check different version
Content
Section Headings only. Preface. Introduction. Stream Ciphers. Primes, Primitive Roots and Sequences. Cyclotomy and Cryptographic Functions. Special Primes and Sequences. Difference Sets and Cryptographic Functions. Difference Sets and Sequences. Binary Cyclotomic Generators. Analysis of Cyclotomic Generators of Order 2. Nonbinary Cyclotomic Generators. Generators Based on Permutations. Quadratic Partitions and Cryptography. Group Characters and Cryptography. P-Adic Numbers, Class Number and Sequences. Prime Ciphering Algorithms. Cryptographic Problems and Philosophies. A. More About Cyclotomic Numbers. B. Cyclotomic Formulae of Orders 6,8 and 10, C. Finding Practical Primes. D. List of Research Problems. E. Exercises. F. List of Mathematical Symbols. Bibliography. Index.
