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Stream Ciphers and Number Theory
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Stream Ciphers and Number Theory

Stream Ciphers and Number Theory

Revised Edition

Thomas Cusick, Cunsheng Ding, Ari Renvall

474 pages, parution le 01/07/2004

Résumé

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.

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.

Audience : Cryptographers and mathematicians.

L'auteur - Thomas Cusick

Thomas Cusick , State University of New York, Buffalo,USA

L'auteur - Cunsheng Ding

Cunsheng Ding , Hong Kong University of Science and Technology, Hong Kong.

L'auteur - Ari Renvall

Ari Renvall , University of Turku, Finland

Sommaire

  • Introduction
  • Stream Ciphers
  • Primes, Primitive Roots and Sequences
  • Cyclotomy and Cryptographic Functions
  • Special Primes and Sequences
  • Highly Nonlinear Functions
  • Difference Sets and Sequences
  • Binary Cyclotomic Generators
  • Analysis of Cyclotomic Generators of Orders 2
  • Nonbinary Cyclotomic Generators
  • Generators based on Permutations
  • Quadratic Partitions and Cryptography
  • Group Character and Cryptography
  • P-adic Numbers, Class Numbers and Sequences
  • Prime Ciphering Algorithms
  • Cryptographic Problems and Philosophies
  • Appendices
Voir tout
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Caractéristiques techniques

  PAPIER
Éditeur(s) Elsevier
Auteur(s) Thomas Cusick, Cunsheng Ding, Ari Renvall
Parution 01/07/2004
Nb. de pages 474
Format 15 x 23
Couverture Relié
Poids 885g
Intérieur Noir et Blanc
EAN13 9780444516312

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