Advanced Cryptology

Garant předmětu:

Přednášející:

Cvičící:

Předmět zajišťuje:

katedra informační bezpečnosti

Anotace:

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.

Požadavky:

MIE-MKY, BIE-BEZ

Osnova přednášek:

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.

Osnova cvičení:

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.

Cíle studia:

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.

Studijní materiály:

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.

Poznámka:

Information about the course and courseware are available at https://moodle-vyuka.cvut.cz/course/view.php?id=2244

Další informace:

https://moodle-vyuka.cvut.cz/course/view.php?id=2244

Pro tento předmět se rozvrh nepřipravuje

Předmět je součástí následujících studijních plánů: