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	Bachelor’s Degree (First Cycle)
Mode of Delivery	Face To Face
Learning and Teaching Strategies	Lecture, Question and Answer, Team/Group.
Course Coordinator
Course Lecturer(s)
Course Assistants
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; gain knowledge about mathematical basics of cryptography. understand and use some simple cryptosystems. know basics of private-key and public-key infrastructures. learn how basic cryptographic protocols work.
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
#	Program Qualifications / Competencies	1	2	3	4	5
1	Has adequate knowledge in mathematics, science, and computer engineering-specific subjects; uses theoretical and practical knowledge in these areas to solve complex engineering problems.					X
2	Identifies, defines, formulates, and solves complex engineering problems; selects and applies appropriate analysis and modeling methods for this purpose.					X
3	Designs a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; applies modern design methods for this purpose.
4	Develops, selects, and uses modern techniques and tools necessary for the analysis and solution of complex problems encountered in computer engineering applications; uses information technologies effectively.
5	Designs experiments, conducts experiments, collects data, analyzes and interprets results for the investigation of complex engineering problems or research topics specific to the discipline of computer engineering.
6	Works effectively in disciplinary and multidisciplinary teams; gains the ability to work individually.
7	Communicates effectively in Turkish, both orally and in writing; writes effective reports and understands written reports, prepares design and production reports, makes effective presentations, gives and receives clear and understandable instructions.
8	Knows at least one foreign language; writes effective reports and understands written reports, prepares design and production reports, makes effective presentations, gives and receives clear and understandable instructions.
9	Has awareness of the necessity of lifelong learning; accesses information, follows developments in science and technology, and continuously improves oneself.
10	Acts in accordance with ethical principles and has awareness of professional and ethical responsibility.
11	Has knowledge about the standards used in computer engineering applications.
12	Has knowledge about workplace practices such as project management, risk management, and change management.
13	Gains awareness about entrepreneurship and innovation.
14	Has knowledge about sustainable development.
15	Has knowledge about the health, environmental, and safety impacts of computer engineering applications in universal and societal dimensions and the contemporary issues reflected in the field of engineering.
16	Gains awareness of the legal consequences of engineering solutions.
17	Analyzes, designs, and expresses numerical computation and digital representation systems.
18	Uses programming languages and appropriate computer engineering concepts to solve computational problems.

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