Stream Ciphers and Number Theory: Volume 66
Published on 17. February 2004
Book
Hardback
492 pages
978-0-444-51631-2 (ISBN)
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.
Reviews / Votes
"...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 MATHMore details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
Professional and scholarly
Product notice
Laminated cover
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 27 mm
Weight
830 gr
ISBN-13
978-0-444-51631-2 (9780444516312)
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
Thomas W. Cusick | Cunsheng Ding | Ari R. Renvall
Stream Ciphers and Number Theory
E-Book
02/2004
Elsevier
€149.00
Available for download
Persons
Thomas Cusick has 25 years of experience in cryptography, 60 published papers in that subject and 8 Ph. D. students whose thesis work was in that area. He is currently located at the State University of New York in Buffalo, New York.
Content
Contents Preface to the Revised EditionPreface 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.