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Produktbild: Cusick, T: Stream Ciphers and Number Theory
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Cusick, T: Stream Ciphers and Number Theory

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Beschreibung

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....

Beschreibung

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.

Rezension

"...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

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.05.2004

Verlag Elsevier Science & Technology
Seitenzahl

496

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

01.05.2004

Verlag Elsevier Science & Technology
Seitenzahl

496

Maße (L/B/H)

22.9/15.2/2.7 cm

Gewicht

830 g

Sprache

Englisch

ISBN

978-0-444-51631-2

EU-Ansprechpartner

Elsevier B.V.
Radarweg 29
1043 NX Amsterdam
NL
productsafety@elsevier.com

Herstelleradresse

Elsevier Science & Technology
London Wall 125
EC2Y 5AS London
GB
tradeorders@elsevier.com

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  • Produktbild: Cusick, T: Stream Ciphers and Number Theory
  • 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.