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| STREAM CIPHERS AND NUMBER THEORY, 66
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To order this title, and for more information, click here
By
Thomas Cusick, State University of New York, Buffalo, USA
Cunsheng Ding, Hong Kong University of Science and Technology, Hong Kong.
Ari Renvall, University of Turku, Finland
Included in series
North-Holland Mathematical Library, 66
Description
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.
Audience
Cryptographers and mathematicians.
Contents
Contents
Preface to the Revised Edition
Preface to the First Edition.
1 Introduction.
2 Stream Ciphers.
3 Primes, Primitive Roots
and Sequences.
4 Cyclotomy and Cryptographic Functions.
5 Special Primes and Sequences.
6 Highly Nonlinear Functions.
7 Difference
Sets and Sequences.
8 Binary Cyclotomic Generators.
9 Analysis of Cyclotomic Generators of Order 2.
10 Nonbinary Cyclotomic Generators.
11 Generators Based on Permutations.
12 Quadratic Partitions and Cryptography.
13 Group Characters and Cryptography.
14 P-Adic Numbers,
Class Numbers and Sequences.
15 Prime Ciphering Algorithms.
16 Cryptographic Problems and Philosophies.
Appendix A: More About Cyclotomic
Numbers.
Appendix B: Cyclotomic Formulae of Orders 6, 8 and 10.
Appendix C: Finding Practical Primes.
Appendix D: List of Research Problems.
Appendix E: Exercises.
Appendix F: List of Mathematical Symbols.
Bibliography.
Index.
| Bibliographic details |
Hardbound, 492 pages, publication date: FEB-2004
ISBN-13: 978-0-444-51631-2
ISBN-10: 0-444-51631-X
Imprint: ELSEVIER
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| Price and Ordering |
Price:
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USD 148
EUR 105.95
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Last update: 30 Nov 2009
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