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Stream Ciphers and Number Theory : Volume 66 - Ari Renvall

Stream Ciphers and Number Theory

Volume 66

Hardcover Published: 2nd March 2004
ISBN: 9780444516312
Number Of Pages: 492

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This is the unique book on cross-fertilisations between stream ciphers and number theory. It systematically and comprehensively covers known connections between the two areas that are available only in research papers. Some parts of this book consist of new research results that are not available elsewhere. In addition to exercises, over thirty research problems are presented in this book. In this revised edition almost every chapter was updated, and some chapters were completely rewritten. It is useful as a textbook for a graduate course on the subject, as well as a reference book for researchers in related fields.
-Unique book on interactions of stream ciphers and number theory.
-Research monograph with many results not available elsewhere.
-A revised edition with the most recent advances in this subject.
-Over thirty research problems for stimulating interactions between the two areas.
-Written by leading researchers in stream ciphers and number theory.

"...deals with many connections between stream ciphers and number theory covering topics like construction of generators, cryptographic properties of key streams such as linear complexity, pattern distribution, correlation properties and 2-adic complexity. The monograph gives a useful overview on the present stage of research, moreover it contains more than 30 open research problems." -Willfried Meidl, in ZENTRALBLATT MATH

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
More About Cyclotomic Numbers
Cyclotomic Formulae of Orders 6,8 and 10
Finding Practical Primes
List of Research Problems
Exercises
List of Mathematical Symbols
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780444516312
ISBN-10: 044451631X
Series: North-Holland Mathematical Library
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 492
Published: 2nd March 2004
Publisher: Elsevier Science & Technology
Country of Publication: GB
Dimensions (cm): 22.5 x 14.9  x 2.54
Weight (kg): 1.0
Edition Type: Revised