Irene Villa

Irene Villa

Ph.D. started in: 2016
Year of graduation: 2021
COINS consortium member: University of Bergen
Supervised by: Lilya Budaghyan
Links:
Research area: Cryptography
Project title: Optimal Boolean Functions
Project description: Boolean functions play a fundamental role in the analysis and synthesis of discrete devices which transform and process information.
The main objectives of this project are to combine methods of algebra, combinatorics, coding theory, finite geometry, number theory, sequence design for construction of optimal Boolean functions from one side, and to find more applications of these functions in the above mentioned areas of mathematics on the other side.

1. Lilya Budaghyan, Marco Calderini, Claude Michael Carlet, Robert Coulter, Irene Villa (2020). Constructing APN functions through isotopic shifts
2. Lilya Budaghyan, Marco Calderini, Claude Michael Carlet, Robert Coulter, Irene Villa (2020). Generalized isotopic shift construction for APN functions
3. Lilya Budaghyan, Marco Calderini, Irene Villa (2020). On equivalence between known families of quadratic APN functions
4. Marco Calderini, Irene Villa (2020). On the Boomerang Uniformity of some Permutation Polynomials
5. Lilya Budaghyan, Marco Calderini, Claude Carlet, Robert Coulter, Irene Villa (2019). On Isotopic Shift Construction for Planar Functions
6. Lilya Budaghyan, Marco Calderini, Irene Villa (2019). On relations between CCZ- and EA-equivalences
7. Irene Villa (2018). On APN functions L1(x3) + L2(x9) with linear L1 and L2