Elements of Cryptography and Coding Theory

General data

Course ID:	0600-MS1-2KTK
Erasmus code / ISCED:	11.104 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (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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Copyright by University of Bialystok.