Elements of Cryptography and Coding Theory
General data
Course ID: | 0600-MS1-2KTK |
Erasmus code / ISCED: |
11.104
|
Course title: | Elements of Cryptography and Coding Theory |
Name in Polish: | Elementy kryptografii i teorii kodowania |
Organizational unit: | (in Polish) Instytut Matematyki. |
Course groups: | |
ECTS credit allocation (and other scores): |
(not available)
|
Language: | Polish |
Type of course: | obligatory courses |
Requirements: | Elementary Number Theory 0600-MS1-1ETL |
Mode: | (in Polish) w sali |
Short description: |
Course objectives: Introduction to classical and modern cryptography. |
Full description: |
Course profile: academic Form of study: stationary Course type: obligatory Academic discipline: Mathematics, field of study in the arts and science: mathematics Year: 2, semester: 3 Prerequisities: Algebra I, Elementary Number Theory, Linear Algebra II lecture 15 h. exercise class 30 h. Verification methods: lectures, exercises, consultations, studying literature, home works, discussions in groups. ECTS credits: 4 Balance of student workload: attending lectures15x1h = 15h attending exercise classes 7x4h + 2h(preliminary teaching) = 30h preparation for classes 7x3h = 21h completing notes after exercises and lectures 7x3h = 21h consultations 5x1h = 5h small projects: preparation and defense 40h = 40h final work: preparation and take 10h + 2h = 12h Quantitative description Direct interaction with the teacher: 53 h., 2 ECTS Practical exercises: 117 h., 4 ECTS |
Bibliography: |
Rosen, Kenneth H., Elementary number theory and its applications. Third edition. Addison-Wesley Publishing Company, Advanced Book Program, |
Learning outcomes: |
Learning outcomes: Knowledge of elements of finite field algebra, linear algebra and number theory, which are needed to describe error-correcting codes and cryptosystems, among other things, knowledge of base-b representation (especially binary and hexadecimal expansions), ability of conversion between two different base-b representations, ability of the use of the extended Euclidean algorithm, ability of the use of modular exponentiation, ability to find inverses of the ring Z/mZ, ability to solve systems of linear congruences.K_W04, K_W05, K_W06, K_U01, K_U02, K_U03 Knowledge of chosen cryptosystems (symmetric ones and asymmetric ones): ability to encript and decript messages.K_U29, K_U25, K_U17, K_U11 Knowledge of basic definitions and properties of block codes. K_U29, K_U25, K_U17, K_U06 Knowledge of notions: linear codes, encoding and decoding information..K_U29, K_U25, K_U17, K_U16 Uzyskuje metodologiczne podstawy do pogłębiania wiedzy o metodach kodowania informacji i problemów z tym związanychK_K01, K_K02, K_K06 |
Assessment methods and assessment criteria: |
The overall form of credit for the course: test |
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