Unit COMBINATORICS
- Course
- Mathematics
- Study-unit Code
- 55A00090
- Curriculum
- Matematica per la crittografia
- Teacher
- Daniele Bartoli
- Teachers
-
- Daniele Bartoli
- Hours
- 42 ore - Daniele Bartoli
- CFU
- 6
- Course Regulation
- Coorte 2024
- Offered
- 2024/25
- Learning activities
- Affine/integrativa
- Area
- Attività formative affini o integrative
- Academic discipline
- MAT/03
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- English
- Contents
- The construction of notable objects in affine and projective spaces over finite fields. Connections with algebraic curves over finite fields.
- Reference texts
- Professor's notes. Scientific articles.
- Educational objectives
- The course aims to promote the acquisition of an understanding of the connections existing between varieties over finite fields and their applications to the construction and classification of objects of interest for applications.
- Prerequisites
- Algebraic and geometric tools. Finite fields.
- Teaching methods
- Theoretical lectures and practical training. In each lesson half time will be dedicated to problems solutions.
- Other information
- For other information, please contact the professor directly.
daniele.bartoli@unipg.it - Learning verification modality
- The test consists of two parts
- WRITTEN TEST concerning the resolution of 1 exercise
- ORAL EXAM on theoretical notions
The two tests must be done in the same appeal.
For information on support services for students with disabilities and / or SLD visit http://www.unipg.it/disabilita-e-dsa
These exercises are finalized to verify the students' capacity in handling the algebraic-geometric tools treated in the theory.
The purpose of the oral examination is to verify the students' capacity in illustrating the subject with a special attention to a rigorous math language and to the synthesis.
Info about how to support students with disabilities and/or DSA can be found at http://www.unipg.it/disabilita-e-dsa - Extended program
- Study of objects relevant for applications (arches, caps, permutation polynomials, linear sets). Connections with algebraic curves and limitations such as Hasse-Weil type will be utilized.
- Obiettivi Agenda 2030 per lo sviluppo sostenibile
- 4