Basic Research Project J1-4084: Discrete combinatorial objects in the spectral domain - intersection analysis
| Program Title: | Discrete combinatorial objects in the spectral domain - intersection analysis |
| Program PI: | Enes Pasalic |
| Program Code: | J1-4084 |
| Funding Organization: | Slovenian Research Agency (ARRS) |
| Research Field (ARRS): | 1.01.00 - Natural Sciences and Mathematics / Mathematics |
| Duration | 1. 10. 2022 - 30. 9. 2025 |
| Project Category: | B |
| Yearly Range: | 0.13 FTE. |
| Sicris profile of the program: | available here. |
Abstract: | The main goal of this project is to provide further analysis regarding certain combinatorial objects that are of crucial importance in cryptography stemming from certain hard problems in discrete mathematics that involve discrete exponential sums. More precisely, there exist special class polynomials over finite fields that possess exceptional (optimal) properties with respect to two well established cryptanalytic methods difference and linear cryptanalysis. Our ultimate goal is to inve the behaviour of the component functions in the spectral domain and to develop theoretical results related to the design of both AB and APN functions. |
