Elements of Cryptography and Coding Theory

General data

Course ID:	0600-MS1-2KTK
Erasmus code / ISCED:	11.104 The subject classification code consists of three to five digits, where the first three represent the classification of the discipline according to the Discipline code list applicable to the Socrates/Erasmus program, the fourth (usually 0) - possible further specification of discipline information, the fifth - the degree of subject determined based on the year of study for which the subject is intended. / (unknown)
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) Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load. view allocation of credits
Language:	Polish
Type of course:	obligatory courses
Requirements:	Elementary Number Theory 0600-MS1-1ETL Linear Algebra II 0600-MS1-1AL2
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

This course is not currently offered.

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