Subject

Cryptography

Course Title

Cryptography
Cryptography

Code

F23L3S122

Study Programme

Security, Cryptography and Coding

Organizer of the study programme (unit, institute, department or division)

Faculty of Computer Science and Engineering

Degree level (first, second, third cycle)

First Cycle

Academic year / semester

6 / Summer

Number of ECTS credits

Teacher

Hristina Mihajloska Trpcheska, Vesna Dimitrova

Prerequisites for enrolling in the course

Discrete Structures 2 or Discrete Mathematics or Mathematics 2 or Selected Topics in Mathematics

10.

Objectives of the course programme (competences)

Familiarization with the basic cryptographic principles and methods; study of the basic crypto-
designs; practical application of the studied cryptographic algorithms.

11.

Course content

Lectures:
1. Basic Cryptographic Terms.
2. Examples of historical ciphermakers.
3. Symmetric Cryptography: Stream Ciphers and Random Number Generators.
4. Symmetric Cryptography: Block Ciphers and Modes of Operation.
5. Symmetric Cryptography: Description of the DES and AES algorithms.
6. Attack scenarios and cryptographic attacks.
7. Hash functions
8. Public-Key Cryptography: Basic concepts and examples of public-key cryptography algorithms. Description of RSA.
9. Public-key cryptography: Description of Diffie-Hellman and its application.
10. Public-key cryptography: Description of El Gamal and its application.
11. Public-Key Cryptography: Digital Signatures.
12. Application of cryptographic algorithms in information security.

Practical Classes:
1. Introduction
2. Historical Ciphers - Tasks
3. Stream Ciphers - Tasks
4. Block Ciphers - Tasks
5. AES and Arithmetic in a Finite Field
6. Operation Modes - Tasks
7. Hash Functions - Tasks
8. Public-Key Cryptography - Tasks
9. Discrete logarithm problem
10. Discrete logarithm problem - exercises
11. Digital Signatures - Tasks
12. Practical examples

12.

Learning methods

Lectures, exercises, independent work, project assignments, seminar papers

13.

Total available time

6 ECTS x 30 hours = 180 hours

14.

Distribution of available time

30 + 45 + 15 + 15 + 75 = 180 hours

15.

Forms of teaching activities

15.1.	Lectures - theoretical instruction	30 hours
15.2.	Exercises (laboratory, auditory), seminars, teamwork	45 hours

16.

Other forms of activities

16.1.	Project assignments	15 hours
16.2.	Independent assignments	15 hours
16.3.	Home study	75 hours

17.

Assessment method

17.1.	Tests	10 points
17.2.	Seminar paper / project (presentation: written and oral)	15 points
17.3.	Activities and learning	10 points
17.4.	Final exam	70 points

18.

Grading criteria (points / grade)

up to 50 points	5 (five) (F)
from 51 to 60 points	6 (six) (E)
from 61 to 70 points	7 (seven) (D)
from 71 to 80 points	8 (eight) (C)
from 81 to 90 points	9 (nine) (B)
from 91 to 100 points	10 (ten) (A)

19.

Requirement for obtaining a signature and taking the final exam

Completed activities 15, 16

20.

Language of instruction

Macedonian and English

21.

Method for monitoring the quality of teaching

internal evaluation and survey mechanism

22.

Literature

22.1.	Required literature 1. C. Paar, J. Pelzl \| Understanding Cryptography: A Textbook for Students and Practitioners \| Springer \| 2010 2. N. Smart \| Cryptography: An introduction \| Chapman & Hall/CRC Press \| 2013
22.2.	Additional literature No. Author Title Publisher Year