ECTS - Introduction to Crytopgraphy
Introduction to Crytopgraphy (MATH427) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| Introduction to Crytopgraphy | MATH427 | Area Elective | 3 | 0 | 0 | 3 | 6 |
| Pre-requisite Course(s) |
|---|
| N/A |
| Course Language | English |
|---|---|
| Course Type | Elective Courses |
| Course Level | Natural & Applied Sciences Master's Degree |
| Mode of Delivery | Face To Face |
| Learning and Teaching Strategies | Lecture, Question and Answer, Team/Group. |
| Course Lecturer(s) |
|
| Course Objectives | This course is designed to introduce the fundamental concepts of cryptography and some classical private-key and public key cryptographic systems within a mathematical framework. |
| Course Learning Outcomes |
The students who succeeded in this course;
|
| Course Content | Basics of cryptography, classical cryptosystems, substitution, review of number theory and algebra, public-key and private-key cryptosystems, RSA cryptosystem, Diffie-Hellman key exchange, El-Gamal cryptosystem, digital signatures, basic cryptographic protocols. |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Basic Definitions and Theorems in Number Theory | pp.12-30 |
| 2 | Basic Definitions and Theorems in Number Theory (continued) | pp.12-30 |
| 3 | Basic Definitions of Cryptosystems | |
| 4 | Shift Cipher | pp. 54-65 |
| 5 | Substitution Cipher | pp. 54-65 |
| 6 | Hill Cipher | pp.65-82 |
| 7 | Vigenere Cipher | pp.65-82 |
| 8 | Playfair Cipher | |
| 9 | Finite Fields, Review of Quadratic Residues | pp. 31-40, pp. 42-49 |
| 10 | The Idea of Public Key Cryptography | pp. 83-90 |
| 11 | RSA Cryptosystem | pp. 92-95 |
| 12 | Discrete Logarithm Problem, Diffie-Hellman Key Exchange | pp. 97-99 |
| 13 | El Gamal Cryptosystem, The Massey-Omura Cryptosystem | pp. 100-101 |
| 14 | Some Basic Cryptographic Protocols | |
| 15 | Review | |
| 16 | Final Exam |
Sources
| Course Book | 1. A Course in Number Theory and Cryptography, Neal Koblitz , 2nd Edition, Springer, 1994 |
|---|---|
| Other Sources | 2. Algebraic Aspects of Cryptograhy, Neal Koblitz , Springer ,1998. |
| 3. Cryptography: Theory and Practice, Douglas Stinson, CRC Press Inc, 1996. | |
| 4. Introduction to Cryptography, J. A. Buchmann, Springer-Verlag, 2000. | |
| 5. Handbook of Applied Cryptography, Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone, CRC Press, 1996. |
Evaluation System
| Requirements | Number | Percentage of Grade |
|---|---|---|
| Attendance/Participation | - | - |
| Laboratory | - | - |
| Application | - | - |
| Field Work | - | - |
| Special Course Internship | - | - |
| Quizzes/Studio Critics | - | - |
| Homework Assignments | 5 | 10 |
| Presentation | - | - |
| Project | - | - |
| Report | - | - |
| Seminar | - | - |
| Midterms Exams/Midterms Jury | 2 | 50 |
| Final Exam/Final Jury | 1 | 40 |
| Toplam | 8 | 100 |
| Percentage of Semester Work | 60 |
|---|---|
| Percentage of Final Work | 40 |
| Total | 100 |
Course Category
| Core Courses | X |
|---|---|
| Major Area Courses | |
| Supportive Courses | |
| Media and Managment Skills Courses | |
| Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
| # | Program Qualifications / Competencies | Level of Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | An ability to apply advanced knowledge of computing and/or informatics to solve software engineering problems. | |||||
| 2 | Develop solutions using different technologies, software architectures and life-cycle approaches. | |||||
| 3 | An ability to design, implement and evaluate a software system, component, process or program by using modern techniques and engineering tools required for software engineering practices. | |||||
| 4 | An ability to gather/acquire, analyze, interpret data and make decisions to understand software requirements. | |||||
| 5 | Skills of effective oral and written communication and critical thinking about a wide range of issues arising in the context of working constructively on software projects. | |||||
| 6 | An ability to access information in order to follow recent developments in science and technology and to perform scientific research or implement a project in the software engineering domain. | |||||
| 7 | An understanding of professional, legal, ethical and social issues and responsibilities related to Software Engineering. | |||||
| 8 | Skills in project and risk management, awareness about importance of entrepreneurship, innovation and long-term development, and recognition of international standards of excellence for software engineering practices standards and methodologies. | |||||
| 9 | An understanding about the impact of Software Engineering solutions in a global, environmental, societal and legal context while making decisions. | |||||
| 10 | Promote the development, adoption and sustained use of standards of excellence for software engineering practices. | |||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| Course Hours (Including Exam Week: 16 x Total Hours) | |||
| Laboratory | |||
| Application | |||
| Special Course Internship | |||
| Field Work | |||
| Study Hours Out of Class | 14 | 3 | 42 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | 5 | 8 | 40 |
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | 2 | 15 | 30 |
| Prepration of Final Exams/Final Jury | 1 | 20 | 20 |
| Total Workload | 132 | ||