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Stream ciphers and number theory /

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:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Cusick, Thomas W.,  |d 1943- 
245 1 0 |a Stream ciphers and number theory /  |c Thomas W. Cusick, Cunsheng Ding, Ari Renvall. 
250 |a Rev. ed. 
260 |a Amsterdam ;  |a Boston :  |b Elsevier,  |c 2004. 
300 |a 1 online resource (xvii, 474 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a North-Holland mathematical library ;  |v v. 66 
520 |a 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. 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. 
505 0 |a 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. 
504 |a Includes bibliographical references (pages 435-471) and index. 
588 0 |a Print version record. 
650 0 |a Number theory. 
650 0 |a Ciphers. 
650 6 |a Th�eorie des nombres.  |0 (CaQQLa)201-0005588 
650 6 |a Chiffres (Cryptographie)  |0 (CaQQLa)201-0006005 
650 7 |a ciphers (codes)  |2 aat  |0 (CStmoGRI)aat300257427 
650 7 |a Ciphers  |2 fast  |0 (OCoLC)fst00861549 
650 7 |a Number theory  |2 fast  |0 (OCoLC)fst01041214 
700 1 |a Ding, C.  |q (Cunsheng),  |d 1962- 
700 1 |a Renvall, Ari,  |d 1963- 
776 0 8 |i Print version:  |a Cusick, Thomas W., 1943-  |t Stream ciphers and number theory.  |b Rev. ed.  |d Amsterdam ; Boston : Elsevier, 2004  |z 044451631X  |z 9780444516312  |w (DLC) 2004040484  |w (OCoLC)54407663 
830 0 |a North-Holland mathematical library ;  |v v. 66. 
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