MATHEMATICS
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code	Course Name	Semester	Theoretical	Practical	Credit	ECTS
CMP4322	Advanced Cryptology and Networks	Spring Fall	3	0	3	6

This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester.

Basic information

Language of instruction:	English
Type of course:	Non-Departmental Elective
Course Level:	Bachelor’s Degree (First Cycle)
Mode of Delivery:	Face to face
Course Coordinator :	MEHMET ŞÜKRÜ KURAN
Recommended Optional Program Components:	None
Course Objectives:	This course aims at equipping students with a deeper understanding of cryptography. It starts by introducing the underlying theory of Galois fields, and targets basic topics of significant practical importance as well as advanced topics of theoretical importance. In the first part of the course, a detailed analysis of standard cryptographic algorithms is made and efficient implementation ideas are discussed, focusing on public key schemes such as RSA, ElGamal and Diffie-Hellman, as well as elliptic curve cryptography and homomorphic encryption. In the second part, application of these algorithms to advanced protocols, such as for authentication, identification, key distribution, zero-knowledge and computationally-private information retrieval, is discussed. In the last part of the course, advanced mathematical algorithms, such as brute-force, baby-step giant-step and the Pohlig-Hellman, for attacking some of the covered cryptographic schemes are discussed.

Learning Outcomes

The students who have succeeded in this course;
I. Gain knowledge on Popular symmetric and public key cryptographic algorithms,
II. Gain knowledge on Efficient implementation of cryptographic algorithms,
III. Gain knowledge on different attacks against cryptographic algorithms.

Course Content

Overview of Cryptography and Network Security. Advanced Encryption Standard (AES), RSA and Elliptic Curve Cryptography. Hash Functions. Efficient Implementation Techniques for cryptographic algorithms. Diffie-Hellman Key Exchange and Meet-in-the Middle Attack. Pohlig-Hellman, Pollard’s Rho and side-channel attacks. Attacks against hash functions.

Weekly Detailed Course Contents

Week	Subject	Related Preparation
1)	Overview of Cryptography and Network Security.
2)	Advanced Encryption Standard (AES).
3)	RSA algorithm.
4)	Elliptic curve cryptography.
5)	Hash functions.
6)	Efficient implementation techniques.
7)	Efficient implementation techniques.
8)	Efficient implementation techniques.
9)	Midterm exam.
10)	Diffie-Hellman Key Exchange and Meet-in-the Middle Attack
11)	Pohlig Hellman Attack.
12)	Pollard’s Rho Attack.
13)	Side-Channel Attacks.
14)	Attacks Against Hash Functions.

Sources

Course Notes / Textbooks:	Understanding Cryptography, Christof Paar and Jan Pelzl, Springer 2010. Handbook of Applied Cryptography, Alfred Menezes, Paul C. Van Oorschot and Scott A. Vanstone, CRC Press 1997.
References:

Evaluation System

Semester Requirements	Number of Activities	Level of Contribution
Attendance	14	% 10
Project	1	% 10
Midterms	1	% 40
Final	1	% 40
Total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
Total		% 100

ECTS / Workload Table

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	3	42
Study Hours Out of Class	15	4	60
Project	1	21	21
Midterms	1	2	2
Final	1	2	2
Total Workload			127

Contribution of Learning Outcomes to Programme Outcomes

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	To have a grasp of basic mathematics, applied mathematics and theories and applications in Mathematics
2)	To be able to understand and assess mathematical proofs and construct appropriate proofs of their own and also define and analyze problems and to find solutions based on scientific methods,
3)	To be able to apply mathematics in real life with interdisciplinary approach and to discover their potentials,
4)	To be able to acquire necessary information and to make modeling in any field that mathematics is used and to improve herself/himself,	4
5)	To be able to tell theoretical and technical information easily to both experts in detail and non-experts in basic and comprehensible way,
6)	To be familiar with computer programs used in the fields of mathematics and to be able to use at least one of them effectively at the European Computer Driving Licence Advanced Level,
7)	To be able to behave in accordance with social, scientific and ethical values in each step of the projects involved and to be able to introduce and apply projects in terms of civic engagement,
8)	To be able to evaluate all processes effectively and to have enough awareness about quality management by being conscious and having intellectual background in the universal sense,	4
9)	By having a way of abstract thinking, to be able to connect concrete events and to transfer solutions, to be able to design experiments, collect data, and analyze results by scientific methods and to interfere,
10)	To be able to continue lifelong learning by renewing the knowledge, the abilities and the competencies which have been developed during the program, and being conscious about lifelong learning,
11)	To be able to adapt and transfer the knowledge gained in the areas of mathematics ; such as algebra, analysis, number theory, mathematical logic, geometry and topology to the level of secondary school,
12)	To be able to conduct a research either as an individual or as a team member, and to be effective in each related step of the project, to take role in the decision process, to plan and manage the project by using time effectively.