Stream Ciphers and Number Theory

Informationen zum Autor 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.

List of contents

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.

Report

"...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

Product details

• Authors: Ari R. Renvall, Thomas W. Cusick, Thomas W. (State University of New York Cusick, Thomas W. Ding Cusick, Cunsheng Ding, Ding Cunsheng, Ari Renvall, Ari Ding Renvall, Ari R. Renvall, Thomas W. Cusick
• Publisher: ELSEVIER SCIENCE BV
• Languages: English
• Product format: Hardback
• Released: 11.02.2004
• EAN: 9780444516312
• ISBN: 978-0-444-51631-2
• No. of pages: 492
• Series: North-Holland Mathematical Lib; North-Holland Mathematical Lib; North-Holland Mathematical Library
• Subjects: Natural sciences, medicine, IT, technology > IT, data processing > General, dictionaries; Coding theory & cryptology, Coding theory and cryptology