# Customized Project N1-0159: Designing certain discrete mathematical objects in spectral domain

Program Title: | Designing certain discrete mathematical objects in spectral domain |

Program PI: | Enes Pasalic |

Program Code: | N1-0159 |

Funding Organization: | Slovenian Research Agency (ARRS) |

Research Field (ARRS): | 1.01.00 - Natural Sciences and Mathematics / Mathematics |

Duration: | 1. 8. 2020 - 31. 7. 2023. |

Project Category: | B |

Yearly Range: | 1.60 FTE. |

Sicris profile of the program: | available here. |

| The main goal of this project is to investigate the existence, design and classification of certain discrete combinatorial objects that correspond to a special class of polynomials over finite fields which play an important role in cryptography. Namely, our main interest is the analysis of the so-called APN (almost perfect nonlinear) and AB (almost bent) functions. Our main intention is to provide an efficient classification and design of these two classes of functions since the known classes of these functions are obtained in non-generic and non-systematic manner. |