Contents

Chapters in this book

1. Frontmatter i
2. Introduction v
3. Contents vii
4. Generic Newton polygons for curves of given p-rank 1
5. Good towers of function fields 23
6. Correlation-immune Boolean functions for easing counter measures to side-channel attacks 41
7. The discrete logarithm problem with auxiliary inputs 71
8. Garden of curves with many automorphisms 93
9. Nonlinear shift registers – A survey and challenges 121
10. Permutations of finite fields and uniform distribution modulo 1 145
11. Semifields, relative difference sets, and bent functions 161
12. NTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings 179
13. Analog of the Kronecker–Weber theorem in positive characteristic 213
14. Index 239
15. Backmatter 241