1. SylabUZ
2. Faculty of Exact and Natural Sciences
3. winter term 2022/2023
4. computer science and econometrics - First-cycle studies leading to Bachelor's degree
5. Fundamentals of Cryptography

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Fundamentals of Cryptography - course description

Aim of the course

The aim of the course is to familiarize the student with the basic cryptographic systems and their application in everyday life.

Prerequisites

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Basic knowledge of algebra and number theory.

Scope

Lecture:

1. Simple cryptographic systems.
2. Cipher matrices.
3. The idea of public key systems.
4. RSA system.
5. Discrete logarithm.
6. Knapsack problem.
7. Cryptographic systems based on elliptic curves.

Laboratory:

1. Using computer programs to encrypt and decrypt information.
2. Creating simple programs that use algorithms of certain cryptographic systems.

Teaching methods

Traditional lecturing. Solving problems under the supervision of the instructor.

Learning outcomes and methods of theirs verification

Outcome description	Outcome symbols	Methods of verification	The class form

Assignment conditions

Participation in classes is obligatory.

The course grade consists of the laboratory grade (50%) and the exam grade (60%). The condition for passing the course is a positive grade in the laboratory and exam.

Recommended reading

1. W. Sierpiński, Elementary Theory of Numbers, PWN, Warszawa 1987.
2. N. Koblitz, A Course in Number Theory and Cryptography, Graduate Texts in Mathematics, 1994

Further reading

1. Christof Paar, Jan Pelzl, Understanding Cryptography. A Textbook for Students and Practitioners, Springer
2. Seth James Nielson, Christopher K. Monson, Practical Cryptography in Python: Learning Correct Cryptography by Example, Springer

 

Notes

Modified by dr Sebastian Czerwiński (last modification: 07-02-2024 21:48)