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Lecturer(s)
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Žáček Petr, Ing. Ph.D.
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Oulehla Milan, Ing. Ph.D.
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Šenkeřík Roman, prof. Ing. Ph.D.
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Course content
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1. Basic concepts of cryptology, brief history, classifications, mathematical foundations, cryptographic rules. 2. Symmetric, asymmetric, and hybrid systems - principles. 3. Classical cryptology - substitution systems (monoalphabetic, polyalphabetic, and polygraphic ciphers). 4. Classical cryptology - transposition systems. 5. Introduction to modern cryptology, mathematical foundations of modern cryptology - complex modular arithmetic, discrete logarithm, factorization of primes. 6. One-way functions, principles and protocols of key exchange (Diffie Helman). 7. Stream ciphers. 8. Block ciphers. 9. Asymmetric systems with a public key. 10. Asymmetric systems with elliptic curves. 11. Cryptology based on chaos theory and quantum theory and other non-traditional modern cryptosystems. 12. Steganography. 13. Basic attacks on encryption systems, physical and practical assumptions. 14. Cryptanalysis
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Learning activities and teaching methods
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Lecturing, Exercises on PC
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| prerequisite |
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| Knowledge |
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| Knowledge from areas: Mathematics Fundamentals of Informatics Programming |
| Knowledge from areas: Mathematics Fundamentals of Informatics Programming |
| learning outcomes |
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| The student can enumerate and define basic concepts of cryptology and describe its historical development and classifications. |
| The student can enumerate and define basic concepts of cryptology and describe its historical development and classifications. |
| The student understands the principles of symmetric, asymmetric, and hybrid cryptographic systems and can differentiate among them. |
| The student understands the principles of symmetric, asymmetric, and hybrid cryptographic systems and can differentiate among them. |
| The student has knowledge about classical substitution and transposition systems, including monoalphabetic, polyalphabetic, and polygraphic ciphers. |
| The student has knowledge about classical substitution and transposition systems, including monoalphabetic, polyalphabetic, and polygraphic ciphers. |
| The student can clarify the principles of modern cryptology, including one-way functions and key exchange principles. |
| The student can clarify the principles of modern cryptology, including one-way functions and key exchange principles. |
| The student understands the fundamentals of steganography and the applications of unconventional methods in cryptology and encryption. |
| The student understands the fundamentals of steganography and the applications of unconventional methods in cryptology and encryption. |
| Skills |
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| The student can apply different encryption methods, including symmetric, asymmetric, and hybrid systems. |
| The student can apply different encryption methods, including symmetric, asymmetric, and hybrid systems. |
| The student is capable of implementing and using stream and block cipher algorithms in practical applications. |
| The student is capable of implementing and using stream and block cipher algorithms in practical applications. |
| The student can design systems for secure data transmission and verification using modern cryptographic principles. |
| The student can design systems for secure data transmission and verification using modern cryptographic principles. |
| The student has skills in detecting hidden information in multimedia data files using steganographic techniques. |
| The student has skills in detecting hidden information in multimedia data files using steganographic techniques. |
| The student can apply cryptological methods based on chaos theory and elliptic curves theory for creating and securing ciphers. |
| The student can apply cryptological methods based on chaos theory and elliptic curves theory for creating and securing ciphers. |
| teaching methods |
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| Knowledge |
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| Exercises on PC |
| Lecturing |
| Lecturing |
| Exercises on PC |
| assessment methods |
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| Written examination |
| Written examination |
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Recommended literature
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Bitto, Ondřej. Šifrování a biometrika, aneb, Tajemné bity a dotyky. Vyd. 1. Kralice na Hané : Computer Media, 2005. ISBN 80-86686-48-5.
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Hanžl, Tomáš. Šifry a hry s nimi : kolektivní outdoorové hry se šiframi. Vyd. 1. Praha : Portál, 2007. ISBN 978-80-7367-196-9.
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Katz, Jonathan. Introduction to modern cryptography. Boca Raton : Chapman & Hall/CRC, 2008. ISBN 978-1-58488-551-1.
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Piper, F. C. Kryptografie. 1. vyd. v českém jazyce. Praha : Dokořán, 2006. ISBN 80-7363-074-5.
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Singh, Simon. Kniha kódů a šifer : tajná komunikace od starého Egypta po kvantovou kryptografii. 1. vyd. v českém jazyce. Praha : Dokořán, 2003. ISBN 80-7203-499-5.
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Swenson, Christopher. Modern cryptanalysis : techniques for advanced code breaking. Indianapolis : Wiley, 2008. ISBN 978-0-470-13593-8.
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TILBORG, H. C. A. Fundamentals of Cryptology. Kluwer Academic Publishers, 2000. ISBN 0-7923-8675-2.
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Vondruška, Pavel. Kryptologie, šifrování a tajná písma. 1. vyd. Praha : Albatros, 2006. ISBN 80-00-01888-8.
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Zelenka, Josef. Ochrana dat : informační bezpečnost - výkladový slovník. Vyd. 1. Hradec Králové : Gaudeamus, 2002. ISBN 80-7041-197-X.
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