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Lecturer(s)
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Říhová Zora, doc. Ing. CSc.
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Ivánek Jiří, prof. RNDr. CSc.
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Course content
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1 Coding information resources - Basic types of codes - Effective coding - Fan and Huffman algorithms - Detection and correction of transmission errors - Hamming and other self-correcting codes - Message transmission limits in the communication system 2 Data compression - Lossless compression - Lossy audio compression - Lossy image compression 3 Basic encryption methods - Classical substitution ciphers - Cryptanalysis of Vigener cipher - DES encryption standard - AES new encryption standard 4 Public Key Encryption - Mathematical principles of RSA - Rabin's algorithm for generating large primes - Identification of public and secret keys - The complexity of the factorization problem - Other public key encryption methods 5 Decision tables and trees - Logical properties of decision tables - Construction of decision trees from the decision table - Selected algorithms (direct, branch and bound, heuristic driven) - Construction of decision trees from data - TDIDT algorithm Lectures are stored in the Moodle system
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Work with multi-media resources (texts, internet, IT technologies), Group work
- Class attendance
- 30 hours per semester
- Preparation for exam
- 90 hours per semester
- Preparation for classes
- 30 hours per semester
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Learning outcomes
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The aim of the course is to introduce selected practically widely used algorithms for the construction of codes, ciphers and decision trees, including the relevant theoretical concepts and results on which these algorithms are based.
no requiard
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Prerequisites
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without limits
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Assessment methods and criteria
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Oral examination, Student performance assessment, Test
Successful completion of 3 tests, each for 60 % and 1 presentation of the chosen problem.
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Recommended literature
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Berka P. Dobývání znalostí z databází.. ACADEMIA Praha, 2003. ISBN 80-200-1062-9.
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Ivánek J. Základy matematické informatiky I. Informace a automaty. VŠE Praha, 1991. ISBN 80-7079-673-1.
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Jiroušek R., Ivánek J., Máša P., Toušek J., Vaněk N. Principi digitální komunikace. Praha, 2006. ISBN 80-7335-084-X.
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