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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (09.05.2018)
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (28.10.2019)
Students have to pass final test/oral exam. |
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (09.05.2018)
Chapters by Carlet, from the book “Boolean Models and Methods in Mathematics, Computer Science, and Engineering" published by Cambridge University Press, Yves Crama and Peter L. Hammer (eds.), pp. 257-397, 2010.
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (09.05.2018)
Students have to pass final test/oral exam based on the material covered in the lectures. |
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Last update: doc. Mgr. et Mgr. Jan Žemlička, Ph.D. (09.05.2018)
1. Boolean functions and their representations 2. Hadamard matrices and Walsh transform 3. Bent functions 4. Construction of bent functions 5. Construction of bent functions (cont’d) 6. Vectorial Boolean functions, vectorial bent functions 7. Perfect nonlinear and almost perfect nonlinear functions 8. Almost bent functions 9. Construction of APN and AB functions 10. Polynomials: Permutation polynomials, Dickson polynomials 11. APN permutations: Existence and construction 12. Bent, APN, AB functions and their connections to cryptography 13. Bent, APN, AB functions and their connections to coding theory 14. Bent, APN, AB functions and their connections to combinatorics |