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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2018/2019

Security

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Code Completion Credits Range Language
BI-BEZ Z,ZK 6 2P+1R+1C Czech
Lecturer:
Róbert Lórencz (guarantor), Jiří Buček
Tutor:
Róbert Lórencz (guarantor), Jiří Buček, Jiří Dostál, Martin Jelínek, Martin Jureček, Filip Kodýtek, Josef Kokeš, Tomáš Zahradnický
Supervisor:
Department of Information Security
Synopsis:

Students understand the mathematical fundamentals of cryptography and have an overview of current cryptographic algorithms and applications: symmetric and asymmetric cryptosystems, and hash functions. They also learn the fundamentals of secure programming and IT security, the fundamentals of designing and using modern cryptosystems for computer systems. They are able to use properly and securely cryptographic primitives and systems that are based on these primitives.

Requirements:

Fundamentals of linear algebra and discrete mathematics. Basics of number theory, elementary programming techniques. Knowledge of runtime and memory complexities.

Syllabus of lectures:

1. Fundamentals of modular arithmetic and number theory. Fundamental theorem of arithmetic.

2. Properties of prime numbers. Exponentiation in modular arithmetic, Fundamental concepts in cryptography, substitution ciphers.

3. Block ciphers, transposition ciphers, exponential ciphers. Establishment of a shared key.

4. Information theory, algorithm complexity theory.

5. Chinese remainder theorem, primality tests.

6. Stream ciphers, RC4. Block ciphers, DES, 3DES, AES. Block cipher modes of operation.

7. [2] Asymmetric cryptography, RSA, RSA-CRT, digital signature, certificates.

8. Secret sharing.

9. Principles of secure programming.

10. IT security. Perimeter security, firewall, antivirus, antispam.

11. Social engineering. Legal aspects of information security, standards.

12.

Syllabus of tutorials:

1. Fundamentals of modular arithmetic, substitution cipher, affine ciphers.

2. Transposition, Vigenere cipher, block ciphers, exponential ciphers. Diffie-Hellman algorithm.

3. Hash functions, stream ciphers.

4. Primality tests, block ciphers.

5. Certificates, asymmetric cryptography.

6. SSL encryption.

Study Objective:

The module provides the fundamental theory and practical skills in using cryptographic systems. Students will understand the principles of basic crypto algorithms and the basics of secure programming and IT security. A key point is the understanding of the concept of security in the context of mathematical principles of cryptographic primitives, as well as their use in complex systems. In the seminars, students gain practical skills in using standard cryptographic methods with emphasis on security and learn the elementary cryptanalysis methods.

Study materials:

1. Menezes, A. J., Oorschot, P. C., Vanstone, S. A. Handbook of Applied Cryptography. CRC Press, 2001. ISBN 0849385237.

2. Rosen, K. H. Elementary Number Theory (5th Edition). Addison Wesley, 2004. ISBN 0321237072.

Note:
Time-table for winter semester 2018/2019:
Time-table is not available yet
Time-table for summer 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
roomTK:BS
Lórencz R.
09:15–10:45
(lecture parallel1)
Dejvice
NTK Ballingův sál
roomTK:BS
Lórencz R.
14:30–16:00
(lecture parallel2)
Dejvice
NTK Ballingův sál
Fri
roomTH:A-1142
Kokeš J.
07:30–09:00
(parallel nr.1)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Kodýtek F.
09:15–10:45
(parallel nr.2)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Kodýtek F.
11:00–12:30
(parallel nr.3)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Kodýtek F.
12:45–14:15
(parallel nr.4)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Kodýtek F.
14:30–16:00
(parallel nr.5)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Jelínek M.
16:15–17:45
(parallel nr.6)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Jelínek M.
18:00–19:30
(parallel nr.7)
Thákurova 7 (FSv-budova A)
Apple lab
Thu
roomTH:A-1142
Jureček M.
07:30–09:00
(parallel nr.11)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Jureček M.
11:00–12:30
(parallel nr.8)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Jureček M.
12:45–14:15
(parallel nr.9)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Jelínek M.
14:30–16:00
(parallel nr.10)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Kodýtek F.
16:15–17:45
(parallel nr.15)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Kodýtek F.
18:00–19:30
(parallel nr.16)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Jureček M.
09:15–10:45
(parallel nr.12)
Thákurova 7 (FSv-budova A)
Apple lab
Fri
roomTH:A-1142
Jureček M.
09:15–10:45
(parallel nr.13)
Thákurova 7 (FSv-budova A)
Apple lab
roomTH:A-1142
Jureček M.
11:00–12:30
(parallel nr.14)
Thákurova 7 (FSv-budova A)
Apple lab
The course is a part of the following study plans:
Data valid to 2019-05-23
For updated information see http://bilakniha.cvut.cz/en/predmet1124706.html