Ders Planı

CLASS 4

Lesson plan / INTRODUCTION TO CRYPTOGRAPHY

Lesson Information

Course Credit	3.0
Course ECTS Credit	5.0
Teaching Language of Instruction	Türkçe
Level of Course	Bachelor's Degree, TYYÇ: Level 6, EQF-LLL: Level 6, QF-EHEA: First Cycle
Type of Course	Programme Elective
Mode of Delivery	Face-to-face
Does the course require compulsory or optional work experience?	S
Course Coordinator
Instructor (s)
Course Assistant	Assist. Prof. Dr. MÜBERRA GÜREL

Purpose and Content

The aim of the course	Cryptology is a mathematical science dealing with cryptography and cryptanalysis. It is a fruitful area. A large component of modern cryptography involves a combination of computer science and mathematics. In this course we will go through the topics of both classic and modern cryptography and learn the basic principles behind them. At the end the student is expected to demonstrate a small implementation of an example cryptosystem.
Course Content	This course covers History of cryptography and overview of number theory and abstract algebra, classical cryptosystems, block ciphers; Data Encryption Standard (DES), Advanced Encryption Standard (AES), Maple application of classical cryptosystems, Public Key Cryptography, RSA, Diffie-Hellman key exchange, El Gamal encryption, Maple application of public key cryptography, Elliptic curve and ECC(Elliptic curve cryptography)

The aim of the course

Cryptology is a mathematical science dealing with cryptography and cryptanalysis. It is a fruitful area. A large component of modern cryptography involves a combination of computer science and mathematics. In this course we will go through the topics of both classic and modern cryptography and learn the basic principles behind them. At the end the student is expected to demonstrate a small implementation of an example cryptosystem.

Course Content

This course covers History of cryptography and overview of number theory and abstract algebra, classical cryptosystems, block ciphers; Data Encryption Standard (DES), Advanced Encryption Standard (AES), Maple application of classical cryptosystems, Public Key Cryptography, RSA, Diffie-Hellman key exchange, El Gamal encryption, Maple application of public key cryptography, Elliptic curve and ECC(Elliptic curve cryptography)

Learning Outcomes

Have advanced theoretical and practical knowledge in mathematics and computer science.
Gain an in-depth knowledge on Computer Science including computer programming, word processing, database functions, accessing the internet and softwares.
Possess the knowledge of advanced research methods in mathematics-computer field.
Possess theoretical and practical knowledge in mathematics, computation and computer science.
Define computer programming, word processing, data functions, internete access and software programs.
Describe advanced research methods in the field of Mathematics-Computer Science.
Evaluate and interpret data using the knowledge and skills gained in the fields of mathematics and computer science.
Identify, define and analyze problems in the fields of mathematics and computer science; develop solutions based on research and evidence.
Identify, define and model mathematics, computation and computer science problems; select and apply appropriate analysis and modeling methods for this purpose.
Design and apply interactive experimental environments to get the definitions and first solutions of the problems of computer science and computer science and evaluate these environments.
Having the discipline of mathematics, understand the operating logic of the computer and gain the ability to think based on account.
Perform all phases of life cycle in computer based systems.
Work effectively as an individual and as a team member to solve problems in the areas of mathematics and computer science.
Have the ability to act independently, use initiative and creativity.
Work effectively either individually or in multidisciplinary teams.
Evaluate advanced knowledge and skills in the field with a critical approach.
Follow current developments about the awareness of the necessity of continuous professional development and information and communication technologies.
Have the consciousness of the necessity of lifelong learning and continuously develop professional knowledge and skills.
Use the time effectively in the process of getting the conclusion with analytical thinking ability.
Have at least one foreign language knowledge and the ability to communicate effectively in Turkish, verbally and in writing.
Be aware of the effects of information applications on individual, institutional, social and universal dimensions and have the awareness about entrepreneurship, innovation.
Have the awareness of professional and ethical responsibility and legal consequences of information applications
Use the knowledge about the field for the benefit to society.

Weekly Course Subjects

1	Introduction; History of cryptography, Classical Cryptosystems
2	Review of Number Theory
3	Review of Abstract Algebra
4	Block Ciphers; DES
5	Block Ciphers; AES
6	Maple applications of classical cryptosystems
7	Public Key Cryptography; RSA
8	Discrete Logarithms
9	Midterm Exam
10	Diffie-Hellman key exchange, El Gamal
11	Maple applications of public key cryptography
12	Digital Signatures.
13	Elliptic Curves
14	Elliptic Curve Cryptography

Resources

1- Wade Trappe, Lawrence C. Washington, Introduction to cryptography with coding theory .
2-Menezes, Handbook of Applied Cryptography.
3-Lawrence C. Washington, Elliptic Curves, Number theory and Cryptography.
4 -D.R. Stinson, Cryptography Theory and Practice, CRC Press 1995.
5- N. Koblitz, A Course in Number Theory and Cryptography, Springer-Verlag 1994.

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Lesson Information

Purpose and Content

Learning Outcomes

Weekly Course Subjects

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