Contents

Chapters in this book

1. Frontmatter I
2. Introduction V
3. Contents VII
4. 1. Tiling rings with “precious” differences 1
5. 2. q-analogs of group divisible designs 21
6. 3. A survey on bent functions and their duals 39
7. 4. Construction of Bent functions using covering extended building sets 57
8. 5. Results on permutation polynomials of shape x^t + γTr_qⁿ/_q(x^d) 67
9. 6. A new structure for difference matrices over abelian p-groups 79
10. 7. Weil sums of binomials: properties, applications and open problems 109
11. 8. A survey on iterations of mappings over finite fields 135
12. 9. Cyclotomy, difference sets, sequences with low correlation, strongly regular graphs and related geometric substructures 173
13. 10. Pseudorandomness of large sets in finite fields 199
14. 11. Point-plane incidences and some applications in positive characteristic 211
15. 12. A survey of group invariant Butson matrices and their relation to generalized bent functions and various other objects 241
16. 13. MRD codes: constructions and connections 255
17. 14. Differential fault attack on hardware stream ciphers—a technical survey 287
18. 15. Polynomials over finite fields: an index approach 319