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Riste Stojanov Ph.D.

Probability and Statistics

Aim of the program: 

Students will be introduced to basic concepts of probability and statistical analyses with their application in computer sciences. The knowledge of this subject is solid support for advanced courses where elements of probability and statistics are applied. 

Accreditation: 
PDF icon Probability_and_Statistics.pdf

Табови

Odej Kao Ph.D

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Bojan Ilijoski M.Sc.

Coding and Cryptography (3+1+1)

Coding and Cryptography (3+1+1)

1. General information
The goal of the coding and cryptography master studies is to provide top quality European education and training for ICT engineers. The studies offer deeper and specialized knowledge about cryptography and coding theory. Upon completion of this master study programme, the ICT engineers will be able to meet the industry needs.
 
  • Offered by: Ss. Cyril and Methodius University - Skopje, Faculty of Computer Science and Engineering – FCSE
  • Study programme: Coding and Cryptography master studies
  • Scientific-research field: Natural Science and Mathematics
  • Category: Computer Science
  • Sub-category: Computer security, Cryptography and Coding Theory
  • The master studies cycle consists of 60 ECTS.
  • Study duration: 2 semesters
  • One academic year is divided into two semesters with 30 weeks each (1 semester = 15 weeks)
  • The first semester is comprised of courses only, while in the second semester there are fewer courses and the rest of the time is devoted to the final project, i.e. master thesis.
  • Enrollment requisites: fully completed undergraduate study cycle with a minimum of 240 ECTS with a degree in the fields of computer science and/or computer engineering. In the case of having an appropriate degree with less than 240 ECTS, the student has to enroll the introductory courses first.
  • Introductory courses: only for students that have obtained less than 240 ECTS. A number of differential introductory courses are offered in order to level up the required competences. Upon successful completion of the introductory courses, the student has the right to continue with the formal master study programme courses in the second year of studies.
  • First semester: 3 compulsory courses + 2 elective courses (one of the elective courses can be chosen from the courses list offered by the University)
  • Second semester: 1 compulsory course + 1 elective course (can be chosen from the courses list offered by the University only in the event that this opportunity has not been used in the previous semester) + final master thesis project that equals 18 ECTS.
  • 1 ECTS = 30 hours of work load.
  • Contact hours per week is 4. 
Degree: Master of computer science and engineering in the field of coding and cryptography. 
 
2.1  Introductory courses
 
Introductory courses: only for students that have obtained less than 240 ECTS. A number of differential introductory courses are offered in order to level up the required competences. Upon successful completion of the introductory courses, the student has the right to continue with the formal master study programme courses in the second year of studies. 
 
Table 1: List of introductory courses
 

Course

Semester

ECTS

Prerequisite
 1

 Probability and statistics

VII

 6  Calculus 2
 2  Algorithms VII 6 Object oriented and visual programming
 3  Elective course 1 VII  6  
 4  Elective course 2 VII  6  
 5  Elective course from University list of available courses VII  6  
 6

 Discreet structures 3

VIII

6

Discreet structures 1
 7

 Security and cryptography

VIII

6

Discreet structures 3
 8

 Wireless networks

VIII

6

Data and computer communications
 9  Theory of information VIII  6 Probability and statistics or Statistics
10  Elective course 3 VIII 6  
 
 
Table 2: List of elective introductory courses
 

Course

Semester

ECTS

Prerequisite
 1

 Computer networks design

VII

 6  Data and computer communications
 2  Databases 2 VII 6 Databases
 3

 Advanced computer systems

VII

6

Microprocessors and microcontrollers
 4

 Calculus 3

VII

6

Calculus 2
 5

 Parallel and distributive processing

VIII

6

Operating systems
 6 Network and distributed operating systems VIII  6  Data structures and Operating systems
 
2.2 Studies
 
Courses for the Master studies for the study programme Coding and cryptography can be found at this link.

Security, cryptography and coding (4 + 1)

1. General Information

 

Postgraduate studies in Security, Cryptography and Coding aim at a top European education and training staff, which after graduation will be able to meet the needs of the industry.

  • Name of the proposer: University "Ss. Cyril and Methodius University in Skopje, Faculty of Information Sciences and Computer Engineering - FINKI
  • Name of the study program: academic second cycle studies in Security, cryptography and coding
  • Scientific-research area: technical-technological sciences, natural-mathematical and sciences
  • Field: Computer Science and Informatics, Informatics
  • Area: Other ( Computer Security, Cryptography, and Coding)
  • The value of postgraduate studies is 60 ECTS or 120 ECTS credits .
  • Duration of studies: 2 or 4 semesters .
  • One academic year consists of two semesters lasting 30 weeks (1 semester = 15 weeks).
  • The first semester consists of subjects, while the second consists of subjects and the final project, ie. master thesis.
  • Admission Requirements : Completed undergraduate studies in computer science or computer science with a minimum of 240 credits. For study directions that carry less than 240 credits, exams offered in the introductory layer are added.
  • Introductory layer : Students who have earned less than 240 credits during their studies are offered a set of differential introductory courses. After their successful realization, the student acquires the right to continue with the second year of postgraduate studies.
  • First semester: 3 Mandatory courses and 2 electives, one of which may be from the University list.
  • Second semester: 1 Mandatory and 1 elective, which can be from the university list (only if in the first semester the subjects are selected at the Faculty level) and a final project of 18 ECTS
  • 1 ECTS credit corresponds to 30 hours of total work engagement
  • The number of contact hours is 4
  • The academic title or degree obtained after graduation is

- Master in Information Science and Computer Engineering in the field of security, cryptography and coding

2. Studies

Table 3: List of Postgraduate Courses

РБ New Code / Subject Semester M / E ECTS
1 BK-M-01 Advanced Information Security   IX M 6
2 BK-M-02 Applied cryptography   IX M 6
3 BK-M-03 Coding Theory  IX M 6
4 Elective 2 IX E 6
5 Elective 2 IX E 6
6 BK-M-04 Computer Security X M 6
7 Elective course 3 X E 6
8 Master Thesis X M 18

 

When choosing the courses, at least one elective course should be chosen from the offered elective courses in Table 4. The remaining elective courses can be selected from courses offered in all directions of the second cycle of studies at the Faculty of Information Sciences and Computer Engineering, and one of the electives can be chosen from the University list of courses of the second cycle of studies.

 

Table 4: Electives

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РБ New code /   Subject Semester ECTS Fund hours
П | В
1 BK-E-01   Security for mobile and web applications X 6 30 30
2 BK-E-02 Biometric systems   IX 6 30 30
3 BK-E-03 Provable security X 6 30 30
4 BK-E-04  Cryptanalysis  X 6 30 30
5 BK-E-05  Cryptographic Engineering   IX 6 30 30
6 BK-E-06  Cryptographic Protocols  X 6 30 30
7 BK-E-07  Mathematical Logic for Computer Science IX 6 30 30
8 BK-E-08  Advanced Algebraic Structures X 6 30 30
9 BK-E-09 Advanced communication channel coding algorithms X 6 30 30
10 BK-E-10  Applied Information Theory IX 6 30 30
11 BK-E-11 Stochastic Processes IX 6 30 30
12 BK-E-12 Change and Risk Management    IX 6 30 30
  Selection from University List of Free Courses   6 30 30

 

The student can choose a subject from the list of offered elective courses from all study programs of the second cycle of studies. The list of offered electives can be found on this   link .

Security, cryptography and coding (3+1+1)

1. General Information

 

Postgraduate studies in Security, Cryptography and Coding aim at a top European education and training staff, which after graduation will be able to meet the needs of the industry.

  • Name of the proposer: University "Ss. Cyril and Methodius University in Skopje, Faculty of Information Sciences and Computer Engineering - FINKI
  • Name of the study program: academic second cycle studies in Security, cryptography and coding
  • Scientific-research area: technical-technological sciences, natural-mathematical and sciences
  • Field: Computer Science and Informatics, Informatics
  • Area: Other ( Computer Security, Cryptography, and Coding)
  • The value of postgraduate studies is 60 ECTS or 120 ECTS credits .
  • Duration of studies: 2 or 4 semesters .
  • One academic year consists of two semesters lasting 30 weeks (1 semester = 15 weeks).
  • The first semester consists of subjects, while the second consists of subjects and the final project, ie. master thesis.
  • Admission Requirements : Completed undergraduate studies in computer science or computer science with a minimum of 240 credits. For study directions that carry less than 240 credits, exams offered in the introductory layer are added.
  • Introductory layer : Students who have earned less than 240 credits during their studies are offered a set of differential introductory courses. After their successful realization, the student acquires the right to continue with the second year of postgraduate studies.
  • First semester: 3 mandatorycourses and 2 electives, one of which may be from the University list.
  • Second semester: 1 mandatoryand 1 elective, which can be from the university list (only if in the first semester the subjects are selected at the Faculty level) and a final project of 18 ECTS
  • 1 ECTS credit corresponds to 30 hours of total work engagement
  • The number of contact hours is 4
  • The academic title or degree obtained after graduation is

- Master in Information Science and Computer Engineering in the field of security, cryptography and coding
 

2. Introductory layer

The introductory layer is intended for students who study for less than four years or have earned less than 240 credits from previous studies. The candidate should choose 4 courses from the proposed list, while the other 5 courses can be selected from the other courses offered at the faculty and one of the courses from the university list. If it happens that the candidate has already passed 7 or more of the recommended courses, then he has the right to choose a course from the other courses offered at the faculty.

 

 

Table 1: List of introductory layer items

РБ Subject Semester ECTS
1 mandatory subject 1 of Table 2 VII 6
2 mandatory subject 2 of Table 2 VII 6
3 mandatory subject 3 of Table 2 VIII 6
4 mandatory subject 4 of Table 2 VIII 6
5 Elective course 1 VIII 6
6 Elective 2 VIII 6
7 Elective course 3 VII 6
8 Elective 4 VII 6
9 Elective 5 VIII 6
10 Selection from the university list of free courses VII 6

 

Elective courses can be selected from the proposed list of courses of the study program, Table 2, or from the proposed lists of courses from the introductory layer of other study programs of the Faculty of Information Sciences and Computer Engineering. The choice of courses should be made in accordance with the previous knowledge of the candidate and the necessary knowledge to continue with the postgraduate studies in Internet technologies. Only one free choice of subject is allowed which is on the university list of subjects for the first year of two-year postgraduate studies.

 

Table 2: List of electives

РБ New Code / Subject Semester ECTS Prerequisite
1 CSEW516 Cryptography  VII 6 Discrete Mathematics 2
2 CSES602   Computer Systems Security VIII 6 Operating Systems
3 CSEW303   Probability and Statistics  VII 6 Calculus 1 (Mathematics 1), Discrete Mathematics 2
4 CSES404   Information Theory with Digital Communications  VIII 6 Probability and Statistics
5 CSEW702   Web based systems  VII 6 no
6 CSEW515   Computer Ethics VIII 6 realized a minimum of 90 ECTS credits
7 CSEW703   Introduction to Pattern Recognition  VII 6 Artificial Intelligence
8 CSES618   Network Security  VIII 6 Data and Computer Communications, Operating Systems
9 CSES405   Wireless & Multimedia Systems VIII 6 Data Computer Communications
10 CSES620   Non-relational databases  VIII 6 Databases

 

After the successful completion of all ten courses and 60 credits, the student with previously acquired 180 ECTS credits (or completed three-year studies) continues with the courses from the second academic year of postgraduate studies - Table 3 (IX and X semester). p>

 

3. Studies

Table 3: List of Postgraduate Courses

РБ New Code / Subject Semester З / И ECTS
1 BK-Z-01 Advanced Information Security   IX З 6
2 BK-Z-02 Applied cryptography   IX З 6
3 BK-Z-03 Coding Theory  IX З 6
4 Elective 2 IX И 6
5 Elective 2 IX И 6
6 BK-Z-04 Computer Security   X З 6
7 Elective course 3 X И 6
8 Master Thesis X З 18

 

When choosing the courses, at least one elective course should be chosen from the offered elective courses in Table 4. The remaining elective courses can be selected from courses offered in all directions of the second cycle of studies at the Faculty of Information Sciences and Computer Engineering, and one of the electives can be chosen from the University list of courses of the second cycle of studies.

 

Table 4: Electives

РБ New code /   Subject Semester ЕКТС Fund hours
П | В
1 BK-I-01   Security for mobile and web applications X 6 30 30
2 BK-I-02   Biometric systems   IX 6 30 30
3 БК-И-03 Provable security X 6 30 30
4 БК-И-04 Cryptanalysis  X 6 30 30
5 БК-И-05 Cryptographic Engineering   IX 6 30 30
6 БК-И-06 Cryptographic Protocols   X 6 30 30
7 БК-И-07 Mathematical Logic for Computer Science IX 6 30 30
8 БК-И-08 Advanced Algebraic Structures X 6 30 30
9 БК-И-09 Advanced communication channel coding algorithms X 6 30 30
10 БК-И-10 Applied Information Theory IX 6 30 30
11 БК-И-11 Stochastic Processes IX 6 30 30
12 БК-И-12 Change and Risk Management    IX 6 30 30
  Selection from University List of Free Courses   6 30 30

 

The student can choose a subject from the list of offered elective courses from all study programs of the second cycle of studies. The list of offered electives can be found on this   link .

Табови

Sashko Ristov Ph.D.

Табови

Georgina Mircheva Ph.D.

Табови

д-р Марјан Гушев