Stream Ciphers and Number Theory: North-Holland Mathematical Library, cartea 66
Autor Thomas W. Cusick, Cunsheng Ding, Ari R. Renvallen Limba Engleză Hardback – 16 feb 2004
·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.
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Specificații
ISBN-13: 9780444516312
ISBN-10: 044451631X
Pagini: 492
Dimensiuni: 150 x 225 x 24 mm
Greutate: 0.89 kg
Ediția:Rev.
Editura: ELSEVIER SCIENCE
Seria North-Holland Mathematical Library
ISBN-10: 044451631X
Pagini: 492
Dimensiuni: 150 x 225 x 24 mm
Greutate: 0.89 kg
Ediția:Rev.
Editura: ELSEVIER SCIENCE
Seria North-Holland Mathematical Library
Public țintă
Cryptographers and mathematicians.Cuprins
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.
Recenzii
"...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