Preface to the Revised Edition
Preface to the First Edition.
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.