CONTENTS: 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. …