KRYPTOGRAFIA ELLEIPTIKŌN KABYLŌN
| Title | ΚΡΥΠΤΟΓΡΑΦΙΑ ΕΛΛΕΙΠΤΙΚΩΝ ΚΑΜΠΥΛΩΝ / KRYPTOGRAFIA ELLEIPTIKŌN KABYLŌN |
| Code | 0875 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 2nd / Postgraduate |
| Teaching Period | Winter/Spring |
| Common | No |
| Status | Active |
| Course ID | 600022470 |
Programme of Study: PMS Tmīmatos Mathīmatikṓn (2018-sīmera)
Registered students: 8
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| THEŌRĪTIKĪ PLĪROFORIKĪ KAI THEŌRIA SYSTĪMATŌN KAI ELEGCΗOU | Elective Courses | 2 | 1 | 10 |
| Academic Year | 2022 – 2023 |
| Class Period | Spring |
| Faculty Instructors | |
| Class ID | 600227820
|
Course Type 2021
Specialization / Direction
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600227820
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Adapt to new situations
- Make decisions
- Work autonomously
- Work in teams
- Work in an international context
- Work in an interdisciplinary team
- Advance free, creative and causative thinking
Course Content (Syllabus)
Finite Fields - Projective Space and projective transformations - Projective algebraic curves - Elliptic curves (Addition law, Equivalence of Elliptic curves) - Elliptic curves over finite fields (Hasse's theorem, group structure) - Algorithms for point multiplication - Diffie-Hellman protocol - ElGamal cryptosystem - Menezes-Vastone cryptosystem - Massey-Omura cryptosystem - ECDSA - Elliptic curve cryptosystem based on the integer factorization - Integer factorization algorithm of Lenstra.) -
Keywords
Εlliptic Curves, Finite Fields, Cryptography
Educational Material Types
- Notes
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Laboratory Teaching
Description
Use of computational packages for solution of exercises
Student Assessment
Student Assessment methods
- Written Exam with Extended Answer Questions (Formative)
- Written Assignment (Formative)
- Performance / Staging (Formative)
- Written Exam with Problem Solving (Formative)
Last Update
24-05-2023
