Introduction to Crytopgraphy (MATH427) Course Detail

Course Name	Course Code	Season	Lecture Hours	Application Hours	Lab Hours	Credit	ECTS
Introduction to Crytopgraphy	MATH427		3	0	0	3	6

Pre-requisite Course(s)
MATH 325 Elementary Number Theory

Course Language	English
Course Type	N/A
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	Adequate knowledge in mathematics, science and subjects specific to the computer engineering discipline; the ability to apply theoretical and practical knowledge of these areas to complex engineering problems.
2	The ability to identify, define, formulate and solve complex engineering problems; selecting and applying proper analysis and modeling techniques for this purpose.
3	The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose.
4	The ability to develop, select and utilize modern techniques and tools essential for the analysis and determination of complex problems in computer engineering applications; the ability to utilize information technologies effectively.
5	The ability to design experiments, conduct experiments, gather data, analyze and interpret results for the investigation of complex engineering problems or research topics specific to the computer engineering discipline.
6	The ability to work effectively in inter/inner disciplinary teams; ability to work individually
7	Effective oral and writen communication skills in Turkish; the ability to write effective reports and comprehend written reports, to prepare design and production reports, to make effective presentations, to give and to receive clear and understandable instructions.
8	The knowledge of at least one foreign language; the ability to write effective reports and comprehend written reports, to prepare design and production reports, to make effective presentations, to give and to receive clear and understandable instructions.
9	Recognition of the need for lifelong learning; the ability to access information, to follow recent developments in science and technology.
10	The ability to behave according to ethical principles, awareness of professional and ethical responsibility;
11	Knowledge of the standards utilized in software engineering applications
12	Knowledge on business practices such as project management, risk management and change management;
13	Awareness about entrepreneurship, innovation
14	Knowledge on sustainable development
15	Knowledge on the effects of computer engineering applications on the universal and social dimensions of health, environment and safety;
16	Awareness of the legal consequences of engineering solutions
17	An ability to describe, analyze and design digital computing and representation systems.
18	An ability to use appropriate computer engineering concepts and programming languages in solving computing 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