Stream Ciphers and Number Theory (Hardcover, Revised ed)

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.