Stream ciphers and number theory /

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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 el...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cusick, Thomas W., 1943-
Otros Autores: Ding, C. (Cunsheng), 1962-, Renvall, Ari, 1963-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; Boston : Elsevier, 2004.
Edición:Rev. ed.
Colección:North-Holland mathematical library ; v. 66.
Temas:
Number theory.
Ciphers.
Th�eorie des nombres.
Chiffres (Cryptographie)
ciphers (codes)
Ciphers
Number theory
Acceso en línea:Texto completo
Texto completo
Texto completo
Tabla de Contenidos:
  • 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.

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