Study-unit COMBINATORICS
| Course name | Mathematics |
|---|---|
| Study-unit Code | 55A00090 |
| Curriculum | Matematica per la crittografia |
| Lecturer | Daniele Bartoli |
| Lecturers |
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| Hours |
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| CFU | 6 |
| Course Regulation | Coorte 2023 |
| Supplied | 2023/24 |
| Supplied other course regulation | |
| Learning activities | Affine/integrativa |
| Area | Attività formative affini o integrative |
| Sector | MAT/03 |
| Type of study-unit | Obbligatorio (Required) |
| Type of learning activities | Attività formativa monodisciplinare |
| Language of instruction | Italian and also English if necessary. |
| Contents | Affine and projective geometries. Finite fields. Relevant polynomial functions for applications. |
| Reference texts | Notes. |
| Educational objectives | Acquisition of the main applications of polynomial functions to crypto and coding theory. |
| Prerequisites | Algebra and Geometry for the first two years of the bachelor. |
| Teaching methods | The lectures will be accompanied by exercises, examples and open research problems. Some results will be rigorously proven. Other results will be only stated looking only at their more relevant applications. |
| Other information | Contact directly the teacher for specific questions. |
| Learning verification modality | The exam consists of an oral and a written part. |
| Extended program | Projective and affine spaces over finite fields. Projective and affine varieties. Polynomial functions of particular interest for applications, such as permutation polynomials, APN, PN,PcN functions, scattered polynomials, etc.., will be investigated also through their connections with algebraic varieties. |
| Obiettivi Agenda 2030 per lo sviluppo sostenibile | 4 |