Advanced Cryptology

Lecturer:

Josef Hlaváč, Róbert Lórencz (gar.), Michaela Stonová

Tutor:

Josef Hlaváč, Róbert Lórencz (gar.), Michaela Stonová

Supervisor:

Department of Computer Systems

Synopsis:

Students will learn the essentials of cryptanalysis and the mathematical principles of constructing symmetric and asymmetric ciphers. They will know the mathematical principles of random number generators. They will have an overview of cryptanalysis methods, elliptic curve cryptography and quantum cryptography, which they can apply to the integration of their own systems or to the creation of their own software solutions.

Requirements:

Syllabus of lectures:

1. Mathematical fundamentals of cryptanalysis of cyphers.

2. Random number generators.

3. Symmetric cryptography (block and stream encryption).

4. Asymmetric cryptography.

5. Unidirectional functions, hash functions.

6. Implementation of individual protocols.

7. Linear cryptanalysis.

8. Differential cryptanalysis.

9. Algebraic cryptanalysis.

10. Eliptic curves and their properties.

11. [2] Algorithms and cryptosystems based on elliptic curves.

12. Quantum computing and cryptography.

Syllabus of tutorials:

Study Objective:

The goal of this module is to familiarize students with the basics of cryptanalysis and its use in the development of secure applications. Students will also know the latest security trends in the area of applied cryptography.

Study materials:

1. Menezes, A., Oorschot, P., Vanstone, S. ''Handbook of Applied Cryptography''. CRC Press, 1996. ISBN 0849385237.

2. Gregory, V., B., ''Algebraic Cryptanalysis'', Springer, 2009, ISBN: 978-0-387-88756-2.

3. Daemen, J.., Rijmen, V.: ''The Design of Rijndael: AES - The Advanced Encryption Standard'', Springer, 2002, ISBN: 3-540-42580-2.

4. Gruska, J., ''Quantum computing'', McGraw-Hill Companies, 1999, ISBN: 0-07-709503-0.

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

• Computer Security, Presented in English, Version for Students, who Enrolled in 2010 and 2011 (compulsory course of the specialization)
• Master Informatics, Presented in English - Version for Students who Enrolled in 2010 (VO)
• Master Informatics, Presented in English - Version for Students who Enrolled in 2011 (VO)
• Master Informatics, Presented in English - Version for Students who Enrolled in 2012 (VO)
• Computer Security, Presented in English - Version for Students who Enrolled in 2012 (compulsory course of the specialization)