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Stream Ciphers and Number Theory
- 1st Edition, Volume 66 - February 17, 2004
- Authors: Thomas W. Cusick, Cunsheng Ding, Ari R. Renvall
- Language: English
- Hardback ISBN:9 7 8 - 0 - 4 4 4 - 5 1 6 3 1 - 2
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 5 4 1 8 3 - 9
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… Read more
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Request a sales quoteThis 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.
Cryptographers and mathematicians.
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.
- No. of pages: 492
- Language: English
- Edition: 1
- Volume: 66
- Published: February 17, 2004
- Imprint: Elsevier Science
- Hardback ISBN: 9780444516312
- eBook ISBN: 9780080541839
TC
Thomas W. Cusick
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.
Affiliations and expertise
State University of New York, Buffalo, USACD
Cunsheng Ding
Affiliations and expertise
Hong Kong University of Science and Technology, Hong Kong.AR
Ari R. Renvall
Affiliations and expertise
University of Turku, FinlandRead Stream Ciphers and Number Theory on ScienceDirect