Diana Davidova

Diana Davidova

Ph.D. started in: 2017
Expected year of graduation: 2021
COINS consortium member: University of Bergen
Supervised by: Lilya Budaghyan
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Research area: Cryptography
Project title: Construction and properties of cryptographic Boolean functions
Project description: Optimal Boolean functions are functions with optimal resistance to various cryptographic attacks (such as perfect nonlinear (PN), almost perfect nonlinear (APN), bent, almost bent (AB), crooked functions). In cryptology the security of a cryptosystem is often based on hardness of solving certain mathematical problems. On the other hand, it turns out that to construct optimal Boolean functions for cryptosystems it is often necessary to face mathematical challenges. Indeed, functions with optimal cryptographic properties define optimal objects in algebra, combinatorics, coding theory, finite geometry, sequence design et al. The main aim of this project is to combine computational methods with mathematical methods of the above mentioned theories for construction of optimal Boolean functions.

1. Diana Davidova (2021). On properties of bent and almost perfect nonlinear functions
2. Diana Davidova, Lilya Budaghyan, Claude Michael Carlet, Tor Helleseth, Ferdinand Ihringer, Tim Penttila (2021). Relation between o-equivalence and EA-equivalence for Niho bent functions
3. Diana Davidova, Nikolay Stoyanov Kaleyski (2021). Generalization of a class of APN binomials to Gold-like functions