Bent Functions

1. Generalities on Boolean Functions and p-Ary Functions
Sihem Mesnager

2. Mathematical Foundations
Sihem Mesnager

3. Boolean Functions and Cryptography
Sihem Mesnager

4. Bent Functions-Generalities
Sihem Mesnager

5. Bent Functions: Primary Constructions (Part I)
Sihem Mesnager

6. Bent Functions: Secondary Constructions
Sihem Mesnager

7. Bent Functions: Primary Constructions (Part II)
Sihem Mesnager

8. Class




mathcal{H}

, Niho Bent Functions and o-Polynomials
Sihem Mesnager

9. Subclasses of Bent Functions: Hyper-Bent Functions
Sihem Mesnager

10. Hyper-Bent Functions: Primary Constructions with Multiple Trace Terms
Sihem Mesnager

11. (Hyper)-Bent Functions, Exponential Sums and (Hyper-)elliptic Curves
Sihem Mesnager

12. Bent Vectorial Functions
Sihem Mesnager

13. Bent Functions in Arbitrary Characteristic
Sihem Mesnager

14. Bent Functions and (Partial-)spreads
Sihem Mesnager

15. Various Cryptographic and Algebraic Generalizations of Bent Functions
Sihem Mesnager

16. Plateaued Functions: Generalities and Characterizations
Sihem Mesnager

17. Plateaued Boolean Functions: Constructions of Semi-bent Functions
Sihem Mesnager

18. Linear Codes from Bent, Semi-bent and Almost Bent Functions
Sihem Mesnager

Avainsanat: Computer Science, Coding and Information Theory, Combinatorics, Difference and Functional Equations