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Point Counting on Elliptic and Hyperelliptic Curves
Vácha, Petr ; Šťovíček, Jan (advisor) ; Drápal, Aleš (referee)
In present work we study the algorithms for point counting on elliptic and hy- perelliptic curves. At the beginning we describe a few simple and ineffective al- gorithms. Then we introduce more complex and effective ways to determine the point count. These algorithms(especially the Schoof's algorithm) are important for the cryptography based on discrete logarithm in the group of points of an el- liptic or hyperelliptic curve. The point count is important to avoid the undesirable cases where the cryptosystem is easy to attack. 1
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Preparation of DNA binding domain of transcription factor Fox04 for tryptophan fluorescence measurements
Vácha, Petr
This thesis was worked up as a part of a project that is concerned with the manner of interaction of 14-3-3 proteins with forkhead transcriptional faktor FoxO4. 14-3-3 proteins are proteins interacting with a considerable amount of cell proteins. They affect activity and cell localization through this interaction. Transcriptional factor FoxO4 plays significant role in regulation of a cell cycle, apoptosis, respond to oxidative stress and many other cell proceses. Transcriptional aktivity of FoxO4 is regulated through phophorylation by protein kinases B. This phosphorylation induce inhibition of FoxO4/DNA binding, induce FoxO4/14-3-3 binding and thus relocalization of this complex from a cell core to cytoplasma. One of main goals of this project is to explain molecular mechanisms of these interactions. Main goal of this thesis was to create cDNA of a mutational protein FoxO4 containing just two tryptophan residues by site directed mutagenesis and after gaining this cDNA to express and pyrity this mutational FoxO4. This mutational protein was going to be a part of a model system for conformational changes studies. Besides expression and purification of 14-3-3 protein that is also part of our model system was performed.
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Crossover in Cartesian Genetic Programming
Vácha, Petr ; Vašíček, Zdeněk (referee) ; Sekanina, Lukáš (advisor)
Optimization of digital circuits still attracts much attention not only of researchers but mainly chip producers. One of new the methods for the optimization of digital circuits is cartesian genetic programming. This Master's thesis describes a new crossover operator and its implementation for cartesian genetic programming. Experimental evaluation was performed in the task of three-bit multiplier and five-bit parity circuit design.
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Comparison of the reporting of leasing according to czech legislation and IFRS
Duong, Thanh Dat ; Procházka, David (advisor) ; Vácha, Petr (referee)
The aim of this master´s thesis is to compare a financial reporting of the leasing according to czech legislation and IFRS. The thesis discusses about the different rules and principles of the mentioned regulations, that simultaneously have a different impact on the lessor´s and lessee´s financial statements. The master´s thesis is devided into two parts, the theoretical and the practical. The theoretical part contains the basic definitions regarding leasing, its general advantages and risks including the comparison with other funding methods of the corporation assets. Moreover, this part also describes a explains the general reporting procedure of the leasing in accordance with both mentioned regulartions from the lessor´s and lessee´s view. The practical part contains the application of the knowledge gained from the theoretical part on a real leasing contract including a conclusion about the impact on the financial statements.
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Group Audit
Viktorová, Veronika ; Pelák, Jiří (advisor) ; Vácha, Petr (referee)
The goal of this thesis is to identify the problems of group audits and approach to solving individual problems areas. This thesis describes the contents of group audit manuals, which are not publicly available, and contributes to the understanding of the processes by which a group of auditors shall proceed in their work.
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