Iterations of Rational Functions: Some Algebraic and Arithmetic Aspects

Kapitel in diesem Buch

1. Frontmatter i
2. Preface v
3. Contents vii
4. Character Sums and Polyphase Sequence Families with Low Correlation, Discrete Fourier Transform (DFT), and Ambiguity 1
5. Measures of Pseudorandomness 43
6. Existence Results for Finite Field Polynomials with Specified Properties 65
7. Incidence Structures, Codes, and Galois Geometries 89
8. Special Mappings of Finite Fields 117
9. On The Classification of Perfect Nonlinear (PN) and Almost Perfect Nonlinear (APN) Monomial Functions 145
10. Finite Fields and Quasirandom Points 169
11. Iterations of Rational Functions: Some Algebraic and Arithmetic Aspects 197
12. Additive Combinatorics over Finite Fields: New Results and Applications 233
13. Index 273
14. Backmatter 275