Advanced Cryptology
Code  Completion  Credits  Range  Language 

MIEKRY.16  Z,ZK  5  2P+2C 
 Lecturer:
 Róbert Lórencz (guarantor)
 Tutor:
 Jiří Buček, Róbert Lórencz (guarantor)
 Supervisor:
 Department of Information Security
 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:

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.
 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: 9780387887562.
3. Daemen, J.., Rijmen, V.: ''The Design of Rijndael: AES  The Advanced Encryption Standard'', Springer, 2002, ISBN: 3540425802.
4. Gruska, J., ''Quantum computing'', McGrawHill Companies, 1999, ISBN: 0077095030.
 Note:
 Further information:
 https://moodle.fit.cvut.cz/courses/MIEKRY.16/
 Timetable for winter semester 2018/2019:

06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon Tue Fri Thu Fri  Timetable for summer semester 2018/2019:
 Timetable is not available yet
 The course is a part of the following study plans:

 Computer Security, Presented in English, Version 2016, 2017 and 2018 (compulsory course of the specialization)
 Computer Systems and Networks, Presented in English, Version 2016, 2017 and 2018 (elective course)
 Design and Programming of Embedded Systems, in English, Version 2016, 2017 and 2018 (elective course)
 Specialization Software Engineering, in English, Version 2016, 2017 and 2018 (elective course)