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.
Rezensionen / Stimmen
...This is the first book devoted to the study of the extensive cross-fertilization between stream ciphers and number theory. Many results in the book are new, and over seventy percent of the results described are based on recent research by the authors.Cyptologia, Vol. XXIII...This is a cryptography book which focuses on methods for producing keystream sequences fpr stream ciphers.Mathematical ReviewsT. HellesethThis book is a readable and important contribution for stimulating the interaction between stream ciphers and number theory.Zentralblatt fur Mathematik, Vol. 916
Reihe
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
ISBN-13
978-0-444-82873-6 (9780444828736)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
State University of New York, Buffalo, NY, USA
The National University of Singapore, Singapore
University of Turku, Finland
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.
